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Chapter 7 Test
State each ratio in simplest form.
1. 72 s:0.5 h
2. A rectangle has sides 60 cm long and 2.2 m wide, and a square has sides 80 cm long. Find the ratio of (a) the perimeters and (b) the areas.
Solve.
5n - 9 = 5n + 43. 3x: 2 = 4 4• 2 3
. 2y 3y3x+5_8x+l=36 7. 3y - 3 = 2"" + 10 . 2 6
9 9r - 30 2 10 b+4=_b_ • 17r + 2 = '5 . 6b b+8
12. The sum of a number and twice its reciprocal is 3. Find the number.
13. Express (a) 8i% and (b) 320% as fractions in simplest form.
14. Find (a) 5.7% of 80 and (b) 108% of 5.
15. 5.6 is 42% of what number?
16. The number of hospital volunteers recently increased from 25 to 30. What was the percent increase?
17. Sue and Lois live 13.5 km apart. At 10:00 A.M. each girl leaves her house and jogs toward the other. The ratio of Sue's speed to Lois's speed is 5: 4. If the girls meet at 11 :15 A. M. , how fast does each jog?
18. A chemist mixed a 20% acid solution with a 60% acid solution to make 10 L of a 30% solution. How many liters of each solution were used?
19. Emily can paint her fence in 6 h. If she does the job with her son, it takes 2.5 h less. How long would it take her son working alone?
20. Express 0.0059 in (a) scientific notation and (b) expanded notation.
5-3 21. Evaluate: b. (7' T 3)-2a. 50. 5-5
Simplify. Give answers using positive exponents.
23. e-322. (aOb- 1? e3
24. C!2fl
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4 7 5. 2a + 5 lOa - 1
5 38. 6(z + 2) - 8 = 8(z - 1)
11. _9_+_x_= 1 r - 3x 3 - x
25. x-2 • X2
Chapter 8 Test
1. State whether each ordered pair is a sol
a. (-5, 4) b. (-3, %) c.
Solve each equation if x and yare whole I
2. 4x + 6y = 12
4. Plot the points A( -4, 2) , B(O, -4), CC nate plane .
Graph each equation.
5. 4x - 2y = 8
7. Find the slope of the line through the pI ( - 1 , b) lies on the line, find the val ue I
8. Write an equation in standard form of It y-intercept of - t. Draw the graph of th
Write an equation in slope-intercept form
9. parallel to the graph of y + x = 7 and \I
10. passing through points (5, 5) and (0, 5)
Find the range of each function.
11. f x~ 2x ~ l ' D = {-I, 0, I}
13. The table at the right shows a function based on consumer prices in 1967. a. State the domain and range of the fUi b. Make a broken-line graph of the funl
14. Find the coordinates of the vertex and t~
of the graph of the equation y = 3x2 + other points to graph the equation.
15. Given: Xl = 6, X2 = 2.5 , and Yl = 2.4. pairs of (a) the same direct variation an
16. An employee's wages are directly propo Shelli received $114 for 30 hours of wo 40 hours of work?
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