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Review for State TestReview for State Test
Fall ReviewFall Review
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| 4x – 5 | < 3
x > ½ and x < and x < 22 ½ < x < 2½ < x < 2
Absval Program:Absval Program:
| Ax + B | ? C
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| x + 9 | > 7
x < -16 or x > -2
Absval Program:Absval Program:
| Ax + B | ? C
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| 3x - 5 | + 4 = 11
x =-2/3 or x = 4 {-2/3, 4 }
Aslope Program:Aslope Program:
-4 -4| 3x - 5 | = 7
| Ax + B | ? CLook a like?
No…then change it.
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Absolute ValueAbsolute Value
ax b c ax b c
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Absolute ValueAbsolute Value
ax b c ax b c
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What is the equation of line going through the What is the equation of line going through the points (3,1) and (-2,-1).points (3,1) and (-2,-1).
If you are looking for an equation,
Then use ASLOPE
OPTIONS:OPTIONS:
1: TWO PTS1: TWO PTS
y = .4X + -.2y = .4X + -.2 ChangeDecimals
To Fractions
2 15 5
y x
XX11, Y, Y11 XX22, Y, Y22
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Which is the equation of line that is parallel to Which is the equation of line that is parallel to line shown?line shown?
If you are looking for an equation,
Then use ASLOPE
OPTIONS:OPTIONS:
1: TWO PTS1: TWO PTS
y = -2.5X + -2y = -2.5X + -25 2
2y x
( 2,3)
(0, 2)
XX11, Y, Y11
XX22, Y, Y22
ChangeDecimals
To Fractions
2. 95
A y x 5. 3
2B y x
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Which of the following equation contains the points Which of the following equation contains the points (-2, 1) and is Perpendicular to graph of y = -4x - 8?(-2, 1) and is Perpendicular to graph of y = -4x - 8?
If you are looking for an equation,
Then use ASLOPE
OPTIONS:OPTIONS:
2: SLOPE & PT2: SLOPE & PT
y = .25X + 1.5y = .25X + 1.51 34 2
y x
XX11, Y, Y11
1 1. 4 2
A y x
1. 74
B y x
ChangeDecimals
To Fractions
14
1 3. 4 2
C y x
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DistanceDistanceFind the distance Find the distance
between the points between the points P(1, 2) and Q(-5, 4)P(1, 2) and Q(-5, 4) Find the distance Find the distance
between the between the points P(5, 4) and points P(5, 4) and Q(2, 1)Q(2, 1)
XX11, Y, Y11 XX22, Y, Y22
UseDISMPTSProgram
40 6.32344532
Go to Zoom
AlgebraTo
Simplify
40 2 10
183 2
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A triangle is drawn with coordinates (-2, 2), (3,3), and (-3, -2). What is the perimeter to the nearest whole number?
Find Distance Between
(-2,2) & (3,3)
Find Distance Between
(3,3) & (-3,-2)
Find Distance Between
(-3,-2) & (-2,2)
5.1 + 7.8 + 4.1 = 17
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MidpointMidpoint
Find the midpoint of the Find the midpoint of the line segment joining line segment joining the points (-2, 2) and the points (-2, 2) and (-8, 6)(-8, 6)
Find the midpoint of the Find the midpoint of the line segment joining line segment joining the points (-2, 4) and the points (-2, 4) and (7, -8)(7, -8)
(-5,4)
XX11, Y, Y11
XX22, Y, Y22
(2.5, -2)52
( , 2)
ChangeDecimals
To Fractions
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MissEnd ProgramMissEnd ProgramM(6, -3) is the midpoint M(6, -3) is the midpoint
of RS. If S has of RS. If S has coordinates (11, 1), coordinates (11, 1), find the coordinates of find the coordinates of R.R.
M(-3, -5) is the midpoint M(-3, -5) is the midpoint of RS. If S has a of RS. If S has a coordinates (-2, 2), coordinates (-2, 2), find the coordinates of find the coordinates of R.R.
(1, -7) (-4, -12)
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If 12x2 - 7x - 10 is the area of a rectangle and the length is (3x + 2). What is the width of this rectangle?
A= 12x2 - 7x - 10
2Ax Bx C 212 7 10x x
A: B: C: 12 -7 -10
5 2( ) ( )4 3x x
(4 5) x (3 2)x
(3 2)x
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If 8x2 + 25 +30x is the area of a rectangle and the length is (3x + 2). What is the width of this rectangle?
A= 8x2 + 30x + 25
2Ax Bx C 28x
A: B: C: 8 30 25
5 5( ) ( )4 2x x
(4 5) x (2 5)x
(4 5)x
30x 25
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Which of these is NOT factorable over the set of rational numbers?
2 2
2 2
. 6 8 . 9 20
. 10 9 . 15 24
A x x C x x
B x x D x x
Rational
Numbers are numbers
WhoseDecimalValues
EndOr
Repeat.
We looking for numbers w/decimals that don’t end or don’t repeat.
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Which of these is prime over the rational number system?
2 2
2 2
. 2 9 10 . 2 12 10
. 2 5 12 . 2 5 15
A x x C x x
B x x D x x
Rational
Numbers are numbers
WhoseDecimalValues
EndOr
Repeat.
We looking for numbers w/decimals that don’t end or don’t repeat.
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Find the length of the missing side.
3
4
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Lori has a rectangular garden that is 18 feet wide with a diagonal that is 30 feet long. She wants to put a border of begonias around the perimeter of the garden. How big is the perimeter of the garden?
18 ft
30 ft
24 ft24 ft
18 ft
P= 18 + 18 + 24 + 24 P= 84
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2 0ax bx c
Use the factor Program when question says…A)FactorB)Sides of rectangle
Use the factor Quadsolv whenquestion says…A)RootsB)SolutionsC)Zeros
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{ 2,2}Roots
Sometimes You
Can’t tell exactly
Where graphCrosses the
X-axis so useThe Quadsolv
Program to find the
Exact pointsWe are trying to find where the graph crosses the X-axis
2Ax Bx C
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What is the solution set to the equation shown below? 224 42 12 0x x
2Ax Bx C A: 24 B: - 42 C: - 12
ChangeDecimals
To Fractions
1{ , 2}4
RememberThese Are the
X-valuesWhere
TheGraph
CrossesThe x-axis!
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Which of the lines below is perpendicular to the line 1 6
2y x
. 2 12 . 2 8A x y B x y
STANDARD PROGRAM will solve for y
Ax By C Ax By C Which one
hasA slope
Of +2
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Which of the lines below is perpendicular to the line 3 2 12x y
2 3. 4 . 83 2
A y x B y x
Ax By C Solve for yTo findSlopeUsing
STANDARDPROGRAM.
Which has slopeOf -2/3?
3 62
y x
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A restaurant needs to set up 7 tables for the 34 members of a high school science club. The restaurant has tables that can seat 4 and tables that can seat 6. This system of equations represents the combination of x, the number of tables for 4, and y, the number of tables for 6, that will seat exactly 34 people. x + y = 7 4x + 6y = 34How many tables that seat 6 should be set up?A 2B 3C 4D 5
Ax+By=CDx+Ey=F
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Ax+By=CDx+Ey=F
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Which is the y-coordinate of the solution to the system of equations shown below?
2 63 8
y xy x 1. Graph both “y=“
2. 2nd Trace3. Intersect (#5)4. Enter, Enter, Enter
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Which is the y-coordinate of the solution to the system of equations shown below?
1 63
3 15
y x
x y
1. Solve for y 2. Graph both “y=“3. 2nd Trace4. Intersect (#5)5. Enter, Enter, Enter
588
y
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Solve each equation for the given domainSolve each equation for the given domain
2x – 3y = 12 if the 2x – 3y = 12 if the range is range is
{-6, -4, -2, 0, 4}{-6, -4, -2, 0, 4}
xx yy
-6-6-4-4-2-20044
FIRST – Solve for “y”FIRST – Solve for “y”2 3 12x y
domain range
2x 2x3 2 12y x 3
2 43
y x
Select y= button on your calculator.Select y= button on your calculator. Type equation into line labeled “YType equation into line labeled “Y11”” Press 2Press 2ndnd then GRAPH then GRAPH Choose your answer from the appropriate Choose your answer from the appropriate
column. Use arrow keys to scroll up and column. Use arrow keys to scroll up and down to find numbers.down to find numbers.
-3-3 00 33 661122
3 3