name date period 4 chapter 4 test, form 2a · pdf filechapter 4 57glencoe algebra 1 4 score...
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NAME DATE PERIOD
Chapter 4 57 Glencoe Algebra 1
4 SCORE
Ass
essm
entWrite the letter for the correct answer in the blank at the right of each question.
1. What is the slope-intercept form of the equation of a line with a slope of 5 and a y-intercept of -8?
A y = -8x + 5 B y = 8x - 5 C 5x - y = - 8 D y = 5x - 8
2. Which equation is graphed at the right? F 2y - x =10 H 2x - y = 5 G 2x + y = -5 J 2y + x = -5
3. Which is an equation of the line that passes through (2, -5) and (6, 3)?
A y = 1 − 2 x - 6 C y = 2x + 12
B y = 1 − 2 x D y = 2x - 9
4. What is an equation of the line through (0, -3) with slope 2 − 5 ?
F -5x + 2y = 15 H 2x - 5y = 15 G -5x - 2y = -15 J -2x + 5y = 15
5. Which is an equation of the line with slope -3 and a y-intercept of 5? A y = -3(x + 5) B y - 5 = -3x C -3x + y = 5 D y = 5x - 3
6. What is the equation of the line through (-2, -3) with a slope of 0?
F x = -2 G y = -3 H -2x - 3y = 0 J -3x + 2y = 0
7. Find the slope-intercept form of the equation of the line that passes through (-5, 3) and is parallel to 12x - 3y = 10.
A y = -4x - 17 B y = 4x - 13 C y = - 4x + 13 D y = 4x + 23
8. If line q has a slope of - 3 − 8 , what is the slope of any line perpendicular to q?
F - 3 − 8 G 3 −
8 H 8 −
3 J - 8 −
3
9. A line of fit might be defined as A a line that connects all the data points. B a line that might best estimate the data and be used for predicting values. C a vertical line halfway through the data. D a line that has a slope greater than 1.
10. A scatter plot of data comparing the number of years since Holbrook High School introduced a math club and the number of students participating contains the ordered pairs (3, 19) and (8, 42). Which is the slope-intercept form of an equation for the line of fit?
F y = 4.6x + 5.2 G y = 3x + 1 H y = 5.2x + 4.6 J y = 0.22x - 1.13
11. Use the equation from Question 10 to estimate the number of students who will be in the math club during the 15th year.
A 53 B 61 C 65 D 74
Chapter 4 Test, Form 2A
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3. D
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7. D
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NAME DATE PERIOD
Chapter 4 58 Glencoe Algebra 1
4
For Questions 12–14, use the scatter plot shown.
12. Which data are shown by the scatter plot? F (1995, 5.5), (1997, 6.1), (2004, 7.6) G (1995, 5.5), (2000, 6.1), (2004, 7.6) H (1995, 5.5), (2000, 6.6), (2005, 8.0) J (1995, 5.5), (1997, 6.6), (2005, 8.0)
13. Which is true about the data? A The slope of a best-fit line would be negative. B There is a positive correlation. C There is no correlation. D There is a negative correlation.
14. Based on the data in the scatter plot, what would you expect the y-value to be for x = 2010?
F between 7 and 8 H between 5 and 7 G higher than 8 J impossible to tell
15. To calculate the charge for a load of bricks, including delivery, the Redstone Brick Co. uses the equation C = 0.42b + 25, where C is the charge and b is the number of bricks. What is the delivery fee per load?
A $42 C $25 B $67 D It depends on the number of bricks
For Questions 16 and 17, use the table shown.
Shots on Goal 22 25 28 29 33
Points Scored 5 7 7 9 8
16. Find the slope of the best-fit line. F -0.561 G 0.283 H 0.631 J 0.794
17. Estimate how many points would be scored if 80 shots were taken on the goal using the best-fit line.
A 18 B 19 C 22 D 24
18. Find the inverse of {(4, -1), (3, -2), (6, 9), (8, 5)}. F {(8, 5), (6, 9), (3, -2), (4, -1)} H {(-1, 4), (-2, 3), (9, 6), (5, 8)} G {(-4, 1), (-3, 2), (-6, -9), (-8, -5)} J {(-1, -2), (9, 5), (4, 3), (6, 8)}
19. If f (x) = 3x - 4, find f -1 (x).
A f -1 (x) = 4x - 3 B f -1 (x) = x + 4 − 3 C f -1 (x) = x - 4 −
3 D f -1 (x) = -4 - 3x
20. If f (x) = 8(5x - 2), find f -1 (x).
F f -1 (x) = 5x + 2 − 8 G f -1 (x) = 5x - 2 −
8 H f -1 (x) = x - 16 −
40 J f -1 (x) = x + 16 −
40
Bonus What is the y-intercept of a line through (2, 7) and
perpendicular to the graph of y = - 3 − 2 x + 6?
Chapter 4 Test, Form 2A (continued)
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5
6
7
8
'95 '00 '05 12. F
13. B
14. G
15. C
16. G
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19. B
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Chapter 5 51 Glencoe Algebra 1
SCORE
Write the letter for the correct answer in the blank at the right of each question.
For Questions 1–6, solve each inequality.
1. -51 ≤ x + 38 A {x � x ≤ -13} B {x � x ≤ 89} C {x � x ≥ -89} D {x � x ≥ -13} 1.
2. m - 3 − 8 > 1 −
2
F = {m | | m > 7 − 8 } G {m | | m < 7 −
8 } H {m | | m < 1 −
8 } J {m | | m > 1 −
8 } 2.
3. t − -2
> 4
A {t | t < -8} B {t | t < -2} C {t | t > 2} D {t | t > -8} 3.
4. -3.5z < 42 F {z | z > 12} G {z | z < 12} H {z | z < -12} J {z | z > -12} 4.
5. 4w - 6 > 6w - 20 A {w | w < 7} B {w | w < 2} C {w | w < -7} D {w | w < -2} 5.
6. 8r - (5r + 4) ≥ -31 F {r | r ≤ -9} G {r | r ≥ -9} H {r | r ≥ 9} J {r | r ≤ 9} 6.
7. The sum of two consecutive integers is at most 3. What is the greatest possible value for the greater integer?
A 5 B 1 C 3 D 2 7.
8. Which of the following is the graph of the solution set of y < -3 or y < 1?
F -1-2-3-4 0 1 2 43
H -1-2-3-4 0 1 2 43
G -1-2-3-4 0 1 2 43
J -1-2-3-4 0 1 2 43
8.
9. Which compound inequality has the solution set shown in the graph?
A -1 < n < 2 C n ≥ -1 or n < 2 B -1 ≤ n < 2 D -1 < n ≤ 2 9.
10. Which of the following is the solution set of -4 < 3t + 5 ≤ 20? F {t |-3 < t ≤ 5} H {t | t < -3} G {t | t < -3 and t ≤ 5} J {t | t < -3 or t ≥ 5} 10.
11. Which of the following is the graph of the solution set of t - 4 ≥ 4t + 8 or 3t > 14 - 4t?
A -1-2-3-4-5 0 1 2 3
C -1-2-3-4-5 0 1 2 3
B -1-2-3-4-5 0 1 2 3
D -1-2-3-4-5 0 1 2 3
11. C
-1-2-3-4 0 1 2 43
F
D
H
D
G
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A
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Chapter 5 Test, Form 2A 5
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Chapter 5 52 Glencoe Algebra 1
12. Which inequality corrresponds to the graph shown?
C05-003A-890499
-2 -1 0 1 2 3 4 5 6
F � x - 2 � < 3 H � x - 2 � ≥ 3 G � x - 2 � > 3 J � x - 2 � ≤ 3
13. Which of the following is the solution set of | 2x - 3 | > 4? A {x � x < -0.5 or x > 3.5} C {x � -0.5 < x < 3.5}
B {x � x < -1 or x > 7} D {x � x < 0.5 or x > 3.5}
14. Pete’s grade on a test was within 5 points of his class average of 94. What is his range of grades on the test?F g ≤ 89 or g ≥ 99 H g ≥ 89 or g ≥ 99
G 89 ≤ g ≤ 99 J g < 99 or g < 89
15. Which ordered pair is part of the solution set of the inequality 12 + y ≤ -3x? A (-16, 3) B (1, 4) C (4, -1) D (3, -16)
16. Which inequality is graphed at the right? F y < 2x + 1 H y < 1 −
2 x + 1
G y > 2x + 1 J y > 1 − 2 x + 1
17. Taka bought a new coat and new shoes. He spent $122. Which inequality represents this situation if x represents the cost of a coat and y represents the cost of the shoes he buys?
A 122 ≤ y + x B y ≤ 122 + x C y - x ≥ 122 D y ≤ 122 - x
18. Determine which of the ordered pairs are a part of the solution of y + 1 > 1 −
2 x + 3.
F (2, 3) G (-4, 0) H (1, 2) J (-3, 1)
19. Which inequality has a solution set of {x � x > -3 or x < -4}? A � 2x + 7 � < 1 C � 2x + 7 � > -1 B � 2x + 7 � > 1 D � 2x + 7 � > -1
20. Laurie and Maya sold at most $50 worth of get-well and friendship cards. The friendship cards, x, were sold for $2 each and the get-well cards, y, were sold for $1.50 each. Which point represents a reasonable number of cards sold?
F (20, 10) G (15, 10) H (18, 20) J (10, 30)
Bonus Solve 6(|n| - 3) - 4 |n| + 5 ≤ 11.
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Chapter 5 Test, Form 2A (continued)
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{n � -12 ≤ n ≤ 12}B:
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Chapter 6 53 Glencoe Algebra 1
SCORE
Write the letter for the correct answer in the blank at the right of each question.
Use the graph for Questions 1–4.For Questions 1 and 2, determine how many solutions exist for each system of equations.
A no solutionB one solutionC infinitely many solutionsD cannot be determined
1. y = 3x + 3 2. x + 2y = -13x - y = 2 2x + 3y = 0
3. The solution to which system of equations has an x value of 3? F x + 2y = -1 G 3x - y = 2 H y = 3x + 3 J 2x + 3y = 0
y = 3x + 3 x + 2y = -1 2x + 3y = 0 x + 2y = -1
4. The solution to which system of equations has a y value of 0? A x + 2y = -1 B 3x - y = 2 C y = 3x + 3 D 2x + 3y = 0
y = 3x + 3 x + 2y = -1 2x + 3y = 0 x + 2y = -1
5. When solving the system of equations, x + 2y = 15which expression could be substituted 5x + y = 21for x in the second equation?
F 15 - 2y G 21 - 5x H 15 - x − 2 J
21- 2y −
5
6. If x = 2y + 3 and 4x - 5y = 9, what is the value of y? A 2 B 1 C -1 D -2
7. Use elimination to solve the system x + 7y = 16 and 3x - 7y = 4 for x. F 3 G 4 H 5 J -6
8. Use elimination to solve the system x - 5y = 20 and x + 3y = -4 for x. A 5 B -3 C 10 D -40
9. Use elimination to solve the system 8x - 7y = 5 and 3x - 5y = 9 for y. F -2 G 8 H -3 J -1
10. Use elimination to solve the system 4x + 6y = 10 and 2x + 5y = 1 for x.
A 11 B 5 1 − 2 C -2 D - 1 −
2
11. The substitution method should be used to solve which system of equations?
F 4x + 3y = 6 G 2x + 5y = 1 H 6x + 2y = 1 J y = 3x + 15x - 3y = 2 2x - 3y = 4 3x + 4y = 7 2x + 4y = 5
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x + 2y = -1
y = 3x + 3
y = 3x - 2
3x - y = 2
6 Chapter 6 Test, Form 2A
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Chapter 6 54 Glencoe Algebra 1
6 Chapter 6 Test, Form 2A (continued)
12.
13.
14.
15.
16.
17.
12. Use substitution to solve the system x + 2y = 1 and 2x + 5y = 3.A (-1, 1) B (1, -1) C (-5, 3) D (-1, -1)
For Questions 13 and 14, solve the system and find values of y. 13. 3x - 5y = -35 F 4 G 4 −
5 H -4 J - 4 −
5
2x - 5y = -30
14. 3x + 4y = -30 A -6 B 6 C -12 D 12 2x - 5y = 72
15. Coffee Cafe makes 90 pounds of coffee that costs $6 per pound. The types of coffee used to make this mixture cost $7 per pound and $4 per pound. How many pounds of the $7-per-pound coffee should be used in this mixture?
F 30 lb G 40 lb H 50 lb J 60 lb
16. Your teacher is giving a test that has 5 more four-point questions than six-point questions. The test is worth 120 points. Which system represents this information? A x + 5 = y B x + y = 5 C x - y = 5 D x - y = 5
4x + 6y = 120 6x + 4y =120 6x + 4y = 120 4x + 6y = 120
17. What system of inequalities is represented in the graph?
F y < -2x + 1 H y < -2x + 1y ≤ 1 −
5 x - 1 y ≥ 1 −
5 x - 1
G y > -2x + 1 J y > -2x + 1y ≤ 1 −
5 x - 1 y ≥ 1 −
5 x - 1
Bonus Where on the graph of 2x - 6y = 7 is the x-coordinate twice the y-coordinate?
J
J
C
F
A
(-7, -3 1 − 2 )
B: C06-05A-890500
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NAME DATE PERIOD
Chapter 7 63 Glencoe Algebra 1
7 SCORE
Write the letter for the correct answer in the blank at the right of each question.
1. Simplify (x3)8.
A x24 B x11 C 8x24 D 8x11
2. Simplify (-2hk)4(4h3k5)2.
F 2h24k40 G -64h9k11 H - 256h10k14 J 256h10k14
3. Simplify 36 b 4 c 2 − 9 b -1 c 5
. Assume the denominator is not equal to zero.
A 27 b 4 − c 3
B 4 b 4 − c 3
C 27 b 3 − c 3
D 4 b 5 − c 3
4. Simplify (3 y 4 n 6 ) 2
− ( y 2 n -3 ) 4
. Assume the denominator is not equal to zero.
F 9 − y 16
G 9 − n 24
H 9y16 J 9n24
5. Which monomial represents the number of square units in the area of a circle with radius 4x3 units?
A 16πx6 B 8πx6 C 16πx9 D 8πx5
6. Express 46,100,000 in scientific notation.
F 4.61 × 107 G 4.61 × 106 H 4.61 × 105 J 4.61 × 108
7. Evaluate 7 × 1 0 4 − 1.4 × 1 0 -5
.
A 5 × 109 B 5 × 10-20 C 5 × 10-1 D 5 × 101
8. ATTENDANCE The total attendance for a professional baseball team this season was 3.24 × 1 0 6 and two years ago was 2.43 × 1 0 6 . About how many times as large was this season’s attendance as attendance two years ago?
F 0.8 G 0.9 H 1.1 J 1.3
9. Write 10 y 1 − 2 in radical form.
A √ �� 10y B 10 √ � y C 10 √ �� 10y D y √ �� 10
10. Evaluate 8 1 3 − 4 .
F 3 G 9 H 27 J 243
11. Solve 5 x - 2 = 125.
A 2 B 3 C 4 D 5
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2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
A
Chapter 7 Test, Form 2A
J
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J
B
H
D
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NAME DATE PERIOD
Chapter 7 64 Glencoe Algebra 1
7
12. Which is the equation for the nth term of the geometric sequence -4, 8, -16, ... ?
F a n = - 4 · 2 n-1 H a n = -4 . (-2) n-1 G a n = -2 . (-4) n-1 J a n = - 2 · 4 n
13. Which equation represents exponential growth? A y = 5( 0.84) x B y = 5x C y = 0.3x3 D y = 5 (1.06) x
14. Which equation corresponds to the graph shown? F y = ( 3) x + 1 H y = 2( 3 x ) G y = 2( 3 x + 1) J y = (2 . 3) x + 1
15. A weightlifter can increase the weight W(x) that she can lift according to W(x) = 315(1.0 5) x , where x represents the number of training cycles completed. How much will she lift after 4 training cycles?
A 365 lb B 383 lb C 378 lb D 402 lb
16. BIOLOGY A certain fast-growing bacteria increases 6% per minute. If there are 100 bacteria now, about how many will there be 12 minutes later?
F 172 G 201 H 48 J 190
17. POPULATION A city’s population is about 954,000 and is decreasing at an annual rate of 0.1%. Predict the population in 50 years.
A 577,176 B 906,300 C 1,002,888 D 907,450
18. Find the third term of the sequence in which a 1 = 7 and a n = -2 a n - 1 + 11, if n ≥ 2.
F -23 G -3 H 5 J 17
19. Find an explicit formula for a 1 = -4, a n = a n - 1 + 9, n ≥ 2. A a n = 9n - 13 C a n = 9n - 4 B a n = n + 9 D a n = -4n + 9
20. Find a recursive formula for the arithmetic sequence 24, 32, 40, 48, ... . F a 1 = 24, a n = 8 a n - 1 , n ≥ 2 H a 1 = 24, a n = 4 −
3 a n - 1 , n ≥ 2
G a 1 = 24, a n = 1 − 2 a n - 1 + 20, n ≥ 2 J a 1 = 24, a n = a n - 1 + 8, n ≥ 2
Bonus Simplify 7 x - 3 − 7 3x - 1
.
H
Chapter 7 Test, Form 2A (continued)
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B: 7-2x - 2
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Chapter 8 71 Glencoe Algebra 1
8 SCORE
Write the letter for the correct answer in the blank at the right of each question. 1. Write 4x3 - 6x + 2x5 + 3 in standard form.
A 3 - 6x + 4x3 + 2x5 C 2x5 + 4x3 - 6x + 3
B 4x3 + 3 + 2x5 - 6x D -6x + 4x3 + 3 + 2x5
2. Find (9t2 + 4t - 6) - (t2 - 2t + 4).
F 8t2 + 6t - 10 G 8t2 + 2t - 2 H 9t2 + 6t - 2 J 9t2 + 6t - 10
3. Simplify 2a2(5a - 6) - 5a(a2 - 3a + 4) - 7(a - 5).
A 5a3 + 3a2 - 27a + 35 C 5a3 - 27a2 + 13a - 35
B 5a3 - 10a - 7 D none of these
4. Factor 24x2y - 66xy2 + 54x2y2 completely.
F 2xy(12x - 33y + 27xy) H (4x2 + 6y)(6x - 9y2)
G 6x2y2(4y - 11x + 9) J 6xy(4x - 11y + 9xy)
5. Each side of a square x units long is decreased by 9 units. Which expressionrepresents the area of the new square in square units?
A x2 - 81 C x2 - 18x + 81
B x2 - 18x + 18 D 2x - 18
6. Solve (3w + 4)(2w - 7) = 0.
F {- 3 − 4 , 2 −
7 } G { 3 −
4 , - 2 −
7 } H {- 4 −
3 , 7 −
2 } J { 4 −
3 , - 7 −
2 }
7. Factor x2 - 10x + 9.
A (x - 1)(x - 9) C (x - 1)(x + 9)
B (x + 1)(x + 9) D (x + 1)(x - 9)
8. Find (3y - 4)(2y2 + y - 1).
F 6y3 - 5y2 - 7y - 4 H 6y3 - 5y2 - 7y + 4
G 6y3 - 7y2 - 7y + 4 J 6y3 - 5y2 + 7y + 4
9. Solve y2 = 13y - 42.
A {-6, -7} B {6, 7} C {-6, 7} D {6, -7}
10. Find (4a2 + b)2.
F 16a4 + b2 H 8a4 + b2
G 16a4 + 8a2b + b2 J 4a4 + 8a2b + b2
11. Factor 5x2 - 13x + 6. A (x + 3)(5x - 2) C (x + 2)(5x + 3) B (x - 2)(5x - 3) D (x - 3)(5x + 2)
Chapter 8 Test, Form 2A
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11. B
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Chapter 8 72 Glencoe Algebra 1
8
12. Solve 7x2 - 20x = 3.
F {- 1 − 7 , 3} G { 1 −
7 , -3} H {- 1 −
7 , -3} J { 1 −
7 , 3}
13. Factor 121r2 - 64t2.
A (11r + 8t)(11r - 8t) C (11r + 8t)(11r + 8t)
B (11r - 8t)(11r - 8t) D prime
14. Solve 6(n - 11) = 12 + 4(2n - 3).
F -11 G 11 H -33 J 33
15. Solve 5x2 - 3x = (7x2 + 5x) - (2x2 + 16).
A 2 B -2 C 8 D -8
16. Which binomial is a factor of 6x2 + 48x + 96?
F x + 4 G 3x + 8 H 3x + 16 J 6x + 16
17. If the area of a square is multiplied by nine, the area becomes 16 square inches. Find the length x of a side of the square.
A 16 − 9 in. B 4 −
3 in. C 3 −
4 in. D 8 −
3 in.
18. SOCCER Julian kicked a soccer ball into the air with an initial upward velocity of 40 feet per second. The height h in feet of the ball above the ground can be modeled by h = -16t2 + 40t, where t is the time in seconds after Julian kicked the ball. Find the time it takes the ball to reach 25 feet above the ground.
F 2 1 − 2 s G 15 −
16 s H 1 1 −
3 s J 1 1 −
4 s
19. The product of two consecutive odd integers is 143. Find their sum.
A -20 or 20 B -28 or 28 C -26 or 26 D -24 or 24
20. The length of a rectangle is twice the width. The area is 72 square centimeters. What is the length?
F 48 cm G 24 cm H 12 cm J 6 cm
Bonus Find the value of c that will make 9x2 + 30x + c a perfect square trinomial.
Chapter 8 Test, Form 2A (continued)
12.
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18.
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20. H
D
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B
F
A
H
A
F
B: 25
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 9 55 Glencoe Algebra 1
Chapter 9 Test, Form 2A SCORE ______________
Write the letter for the correct answer in the blank at the right of each question.
1. Consider the equation y = 𝑥2 + 5x – 6. Determine whether the function has a maximum
or minimum value. State the maximum of minimum value. What are the domain and
range of the function?
A min.; (0, 0) C min.; (–2.5, –12.25)
D: {all real numbers} D: {all real numbers}
R: {all real numbers} R: {y | y ≥ –12.25}
B max.; (0, 0) D max.; (2.5, –12.25)
D: {all real numbers} D: x | x ≤ 2.5
R: {y | y ≤ 0} R: {all real numbers}
2. Which equation corresponds to the graph shown?
F y = 𝑥2 + 7x – 12 H y = 𝑥2 + 5x + 12
G y = 𝑥2 – x – 12 J y = 𝑥2 + 12x – 1
3. Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of
y = 2𝑥2 – 12x + 6.
A x = –3; (–3, 60) C x = –3; (–3, 78)
B x = 3; (3, –12) D x = 3; (3, 6)
4. Find the coordinates of the vertex of the graph of y = –2𝑥2 – 8. Identify the vertex as a
maximum or a minimum.
F (–2, –16); minimum H (2, –16); maximum
G (–2, 8); maximum J (0, –8); maximum
5. What are the root(s) of the quadratic equation whose
related function is graphed at the right?
A 2 C 0, 4
B 3 D –4, 0
6. One root of the quadratic equation whose related
function is graphed lies between which two
consecutive integers?
F –3 and –2 H –2 and –1
G 2 and 3 J 1 and 2
7. How is the graph of g(x) = 𝑥2 – 3 related to the graph of f(x) = 𝑥2?
A translated down 3 units C translated right 3 units
B translated up 3 units D translated left 3 units
8. Find the value of c that makes 𝑥2 + 10x + c a perfect square trinomial.
F –25 G –5 H 10 J 25
1. _______________
2. _______________
3. _______________
4. _______________
5. _______________
6. _______________
7. _______________
8. _______________
C
G
B
J
C
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A
J
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 9 56 Glencoe Algebra 1
Chapter 9 Test, Form 2A (continued)
9. What value of c makes 3𝑥2 + 24x + c contain a perfect square trinomial?
A 144 B 16 C 64 D 48
10. Which step is not performed in the process of solving 𝑛2 – 12n – 10 = 0 by completing
the square?
F Add 10 to each side. H Factor 𝑛2 – 12n – 10 = 0.
G Add 36 to each side. J Take the square root of each side.
11. Which equation is equivalent to 2𝑥2 – 24x – 14 = 0?
A (𝑥 – 6)2 = 50 B (𝑥 – 3)2 = 13 C (𝑥 – 3)2= 20 D (𝑥 – 6)2 = 43
12. State the value of the discriminant of 3𝑥2 + 8x = 2.
F 3 G 40 H 88 J 100
Solve each equation by using the Quadratic Formula. Round to the nearest tenth if
necessary.
13. 4𝑥2 + 11x – 3 = 0
A –2.4, –0.3 B – 1
4 , 3 C 0.3, 2.4 D –3,
1
4
14. 𝑦2 + 8y = 2
F –8.2, 0.2 G 8.2, –0.2 H 0.3, 7.7 J –7.7, –0.3
15. Determine the number of real solutions of 7𝑥2 – 18x + 12 = 0.
A 2 B infinitely many C none D 1
16. Look for a pattern in the table of values to
determine which model best describes the data.
F linear G exponential H quadratic J none of these
17. Which function best models the data in Question 16?
A y = 7x B y = 7𝑥2 C y = 7𝑥 D y = 7𝑥 + 1
18. If f (x) = ⟦𝑥 + 2⟧, find f (1.5).
F 0.5 G 3 H 3.5 J 4
19. Which is not true about the graph of f (x) = ⎪3x + 2⎥ ?
A The range includes all real numbers.
B It includes the point (–3, 7).
C The domain includes all real numbers.
D The graph is “V-shaped.”
20. Which point is located on the graph of f (x) = {
1
3 𝑥 + 2 if 𝑥 ≤ 1
1
2 𝑥 + 1 if 𝑥 > 1
?
F (–3, 1) G (0, 1) H (2, 0) J (3, 3)
Bonus What is the equation of the axis of symmetry of a parabola if its x–intercepts are –3 and 5?
9. _______________
10. _______________
11. _______________
12. _______________
13. _______________
14. _______________
15. _______________
16. _______________
17. _______________
18. _______________
19. _______________
20. _______________
B. _______________
x 0 1 2 3
y 1 7 49 343
D
H
D
H
D
F
C
G
C
G
A
F
x = 1
Ass
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NAME DATE PERIOD
Chapter 10 51 Glencoe Algebra 1
SCORE
Write the letter for the correct answer in the blank at the right of each question.
1. How does the graph of y = √ ��� x + 3 compare to the parent graph?
A translated up 3 C translated right 3 B translated down 3 D translated left 3
2. Which expression has a domain of {x | x ≥ 2} ?
F y = √ � x + 2 G y = √ � x - 2 H y = √ ��� x + 2 J y = √ ��� x - 2
For Questions 3–7, simplify each expression.
3. 5 √ � 3 · 2 √ �� 21
A 70 √ � 3 B 10 √ �� 63 C 49 √ � 3 D 30 √ � 7
4. √ �� x 2 − 12
F x 2 − 2 √ � 3
G |x| √ � 3
− 6 H x −
6 J
|x| −
√ �� 12
5. 5 − √ �� 11 - √ � 6
B 5 √ �� 66 −
66 C √ �� 11 + √ � 6 D 5 √ �� 11 + 5 √ � 6
− 17
6. √ �� 18 - √ �� 54 + 2 √ �� 50
F 13 √ � 2 - 3 √ � 6 G -4 √ � 3 + 4 √ � 5 H -4 √ � 3 - 4 √ � 5 J 8 √ � 2 - 3 √ � 6
7. ( √ �� 14 + √ � 3 ) ( √ � 6 - √ � 7 )
A 2 √ � 5 - √ �� 21 + 3 - √ �� 10 C √ �� 21
B √ �� 21 - 4 √ � 2 D √ �� 21 + √ � 2
8. Solve √ ��� 3x - 2 + 4 = 8.
F 12 G 6 H 2 − 3 J 3 −
2
9. Solve √ ���� 7a + 32 = a + 2.
A -4 B 7 C -4, 7 D -7, 4
10. A right triangle has one leg that is 7 centimeters. The hypotenuse is 25 centimeters. Find the length of the other leg.
F 15 cm G √ �� 674 cm H 24 cm J 5 √ � 7 cm
11. Determine which side measures form a right triangle.
A 3, 8, 12 B 5, 9, 11 C 11, 13, 16 D 6, 8, 10
12. Find m∠B to the nearest tenth if sin B = 1 − 3 .
F 0.5° G 18.4° H 19.5° J 70.5°
Chapter 10 Test, Form 2A 10
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
D
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NAME DATE PERIOD
Chapter 10 52 Glencoe Algebra 1
13. Determine which set of measures can be the lengths of the sides of a right triangle.
A 3, 6, 9 B 1, 1, √ � 2 C 3, 3, 4 D 1, 3, 7
14. What is the equation of the graph?
F y = √ ��� x + 1 - 1 H y = √ ��� x + 1 + 1
G y = √ ��� x - 1 - 1 J y = √ ��� x - 1 + 1
15. Simplify 2 √ � y • 5 √ � y • 2 √ � y .
A 20 y √ � y B 20 √ � y C 20 y 2 √ � y D 20 y 3
16. What is the length of a diagonal of a rectangle with a length of 9 inches and a width of 3 inches?
F 3.5 in. G 9.5 in. H 18 in. J 90 in.
17. Determine which side measures form a right triangle. A 1, 2, 3 B 2, 3, 4 C 3, 4, 5 D 4, 5, 6
18. LADDERS A 16 foot ladder leans against a wall. The base of the ladder is 6 feet from where the wall meets the ground. How far up the wall does the ladder reach?
F 14.8 ft G 12.9 ft H 144 ft J 220 ft
For Questions 19 and 20, the leg opposite to ∠ A in a right trianglemeasures 12 units, and the hypotenuse measures 19 units.
19. What is sin A?
A 12 − 19
B 19 − 12
C 0.775 D 0.815
20. What is m∠ A? F 0.01° G 32° H 39° J 51°
Bonus Find the length of a diagonal of a square if its area is 72 square meters.
Chapter 10 Test, Form 2A (continued)
B: 12 m
13.
14.
15.
16.
17.
18.
19.
20.
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C
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G
B
A
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NAME DATE PERIOD
Ass
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Chapter 11 63 Glencoe Algebra 1
11 SCORE
Write the letter for the correct answer in the blank at the right of each question.
1. Identify the inverse variation that is graphed.
A xy = 30 C y = -30x B xy = -30 D y = 30x
2. If y varies inversely as x and y = 0.8 when x = 1.8, find y when x = 4.8.
F 0.1 G 0.3 H 2.13 J 10.8
3. State the excluded value(s) of n 2 - 3n - 28 − n 2 + 3n - 4
.
A -4, 7 B -4, 1, 7 C 1 D -4, 1
4. Simplify k2 - 8k + 16 −
k2 - 16 .
F k - 4 G -1 H k - 4 − k + 4
J k + 4 − k - 4
5. Find 3 a 2 b − 6 b 2 c 3
· 12 bc 2 − 15a
.
A ab − 3c
B 2 a 2 b − 5c
C 2a − 5c
D a 2 − 3 c 2
6. Find y 2 + 4y + 4
− y · 9y −
y 2 - 4 .
F 9(y + 2)
− y - 2
G -9 − y + 2
H 9 − y - 2
J -9 − 8(y - 2)
7. Find n 2 + 3n - 10 − n 2 + 6n + 8
÷ n - 2 − n 2 + 2n
.
A n(n + 5) −
n + 4 B (n + 5)(n - 2 ) 2
− (n + 3 ) 3
C n + 5 − n + 2
D n(n - 5) −
(n - 2 ) 2
8. Identify the asymptotes of y = 4 − x - 1.
F x = 4, y = -1 G x = 0, y = -1 H x = 0, y = 1 J x = -1, y = 0
9. Find 10 x 3 + 15 x 2 - 8x - 12 −− 2x + 3
.
A 5 x 2 + 15x + 37 − 2 C 5 x 2 + 5x - 13 −
2
B 5x2 - 4 D 5 x 2 - 4 - 15 − 2x + 3
10. Find 3t - 2 − 3t - 1
+ 5t + 4 − 3t - 1
.
F 8t + 2 − 6t - 2
G 8t + 2 − 3t - 1
H 8t - 8 − 3t - 1
J 10t − 4t
Chapter 11 Test, Form 2A
y
x5
-5-10-15 -5-10
10
10 15
-15
AM-02C-827736-A
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11
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3.
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NAME DATE PERIOD C
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Chapter 11 64 Glencoe Algebra 1
11
11. Find 2x + 3 − (x - 4 ) 2
+ x + 4 − 4 - x
.
A x 2 + 2x - 13 − (x - 4 ) 2
B x - 1 − x - 4
C x - 1 − (x - 4 ) 2
D - x 2 + 2x + 19 − (x - 4 ) 2
12. Find 6x − x - 5
- 4 − x - 5
.
F 2x − x - 5
G 6x - 4 − x - 5
H 6x - 4 − 5 J 6x - 4 −
2x - 10
13. Find 10 − a - b
- 6b − a 2 - b 2
.
A 4 − a - b
B 10a - 6b − a 2 - b 2
C 4b − a - b
D 10a + 4b − a 2 - b 2
14. Write x + x + 1 − x + 8
as a rational expression.
F x 2 + 9x + 1 − x + 8
G 2x + 1 H 2x + 1 − x + 8
J x 2 + x + 1 − x + 8
15. Simplify r 2 + 2r - 3 − r
− r 2 + 3r − r 2 - r
.
A -1(r - 1) B (r - 1 ) 2 − r C (r + 3 ) 2
− r D 3(r + 3)
16. Solve 5x − 3x + 1
- 10 − 9x + 3
= 7 − 6 .
F 3 G - 27 − 11
H 67 − 9 J 7 −
3
17. Which value is an extraneous solution of x − x + 1
- 6 − x 2 - 4x - 5
= 1?
A 5 B 0 C -1 D 6
18. Find 60 miles − 1 hour
· 5280 feet − 1 mile
· 1 hour − 60 minutes
· 1 minute − 60 seconds
.
F 22 ft − 15 s
G 68 ft/s H 5280 mi/min J 88 ft/s
19. ART Vanesa is sculpting statues which require about 2 − 9 cubic foot of clay.
If she has 2 cubic yards of clay, how many statues can Vanesa make?
A 9 B 243 C 27 D 729
20. PHYSICS The formula 1 − R T
= 1 − R 1
+ 1 − R 2
+ 1 − R 3
represents the total resistance
of a circuit. What is R1 if RT = 2.5 ohms, R2 = 10 ohms, and R3 = 5 ohms?
F 17.5 ohms G 2.5 ohms H 10 ohms J 7 ohms
Bonus Find the value of k so that x + 1 is a factor of 3x3 - 2x2 + x + k.
Chapter 11 Test, Form 2A (continued)
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
B
J
C
F
B
F
D
G
D
H
B: 6