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All Reviews Together
Quarter 2 Exam Review
Sections 1 and 2 can be done on sheet.
Sections 3,4, and 5 MUST be done in NB
Section 1: Sets of Numbers
1) Which number is a rational number but not an integer?
a) – 6
b) 0
c) ⅝
d) none
2) Which number is an integer but not a natural number?
a) π
b) -¾
c) 0
d) none
3) Which number is an integer, but not rational?
a) π
b) 4
c) -.25
d) none
4) Which number is whole, but not natural?
a) 0
b) 4
c) .75
d) none
5) Which number is natural, but not whole?
a) ¼
b) 4
c) 0
d) none
6) Give an example of a number that is rational, but not an integer.
7) Give an example of a number that is an integer, but not a whole number.
8) Give an example of a number that is a whole number, but not a natural number.
9) Give an example of a number that is a whole number, but not an integer.
10) Give an example of a number that is rational, but not a whole number.
Section 2: Properties
A. Complete the Matching Column (put the corresponding letter next to the number
1)
6-9=6-9
a) Reflexive
2)
4(5 + 2) = 4(5) + 4(2)
b) Additive Identity
3)
17 · 8 = 8 · 17
c) Multiplicative identity
4)
6 · (2 · 12) = (6 · 2) · 12
d) Associative Property of Mult.
5)
32 + 0 = 32
e) Transitive
6)
11 + (3 + 18) = (11 +3) + 18
f) Associative Property of Add.
7)
If 40 + 4 = 44 and 44 = 4 · 11, then 40 + 4 = 4 · 11
g) Symmetric
8)
22 · 0 = 0
h) Commutative Property of Mult.
9) If 30 = 5 · 6, then 5 · 6 = 30
i) Multiplicative property of zero
10) 26 · 1 = 26
j) Distributive
Name
All Reviews Together
Quarter 2 Exam Review
Section 3: Order of Operations:
1) 256 – 13 ÷ ⅓ + 11=
5) Substitute and Evaluate:
3y3 - 2y2 ÷ 10 + 379 =
y = -5
2) 24 ÷ (6 – 3 · 4) · 13 =
2
6) Substitute and Evaluate: b = 7 and c = -2
bc2 ÷ (42 – 4b) – 11c =
2
3) (-7) - 12 · ¼ + (6)(-2) =
7) Evaluate when a = -8, b = -3, and c = 9
4b3 + ac – ab - 1
c2 – 16b ÷ a + 8a + 2b
Section 4: Simplifying:
1) (6x - 5) + (7x + 7)
2) (6x2 – 5x + 7) + (9x2 – 4x + 8)
3) 4(3x – 5) + 6(4x + 3)
4) 5(6x – 9) – 7(4x – 8)
5)8(3x2 – 4x + 9) + 6(4x2 + 5x – 12)
6) 9(4x2 + 3x – 8) – 7(6x2 – 4x + 10)
7) 6(2x – 5) + 3(3x + 2)
8) 4(8x + 5) – 10(5x + 2)
9) 6(4x2 – x + 7) + 8(3x2 – 2x – 6)
10) 10(3x2 – 5x + 3) + 6(5x2 – 4)
11) 12(3x2 – 6x + 9) – 9(4x2 – 8x + 12)
Section 5: Solving Equations:
1) ½ x + 39 = 31
7) 42 - ¾ x = 21
2) 8x – 5 = 3x + 50
8) (5x – 2) + (7x + 5) = -81
3) 12x – 14 = -74
9) 100- 9x = -154
4) 7(4x – 5) + 6(2x + 1) = 171
10) 10(6x – 4) – 7(8x – 3) = -17
5) 8(3x – 10) = 10(2x – 6)
11) 7(4x – 10) = 6(8x – 10)
6) 6(4x -7) – 5(3x – 5) = 55
12) 9(2x + 3) – 4 = 5(3x – 2)
13) 5(6x – 10) - 1
9
14) 11(8x – 2)
7
+ 19 = -47
16) 5(7x – 1)
12
+ 21 = 41
15) 9(4x - 6) +20
-11
= -29
= -46
Name
All Reviews Together
Quarter 2 Exam Review
Q1 Test 2 Review
Solving and Graphing Simple Inequalities:
(must be graphed on the # line)
1) 8x – 17 > -5
x > 1.5
2) 50 – ¾ x < 68
x > -24
3) 12x - 2 > 17x + 18
x<4
4) 8(5x – 4) – 6(7x + 4) < -64
x>4
5) 38 < 26 - ⅜ x
x < -32
6) 6(4x -1) > 7(4x - 2)
x<2
7) 9(4x + 4) > 4(4x - 1)
x > -2
8) -4 > 5(4x + 6) + 6(4x – 2)
x<-½
Compound Inequalities:
(must be graphed on the # line)
1) 9x – 5 > -32 ∩ ¾ x + 5 < 8
x > -3 ∩ x < 4
3) -12 < 7x + 2 < 23
x> -2 ∩ x < 3
5) 13x - 5 < 21  14 – 2x > 18
x < 2  x > -2
7) -12 < ¼ x - 11 < -11
x > -4 ∩ x < 0
2) 10x + 7 < -18  15 - ⅔x < 11
x < -2.5  x > 6
4) 12 – 3x < -3  6x – 11 > -17
x > 5  x < -2
6) 8x – 13 > 19 ∩ 16 - ⅓x > 17
x > 4 ∩ x < -3
8) 25 – 6x > 40  -3x + 6 < -9
x < -2.5  x > 5
Graphing:
Find the equation in slope intercept form and graph: (3 on each set of axis, to save paper)
1) (-3, 6)(4, -8)
y = -2x
2) (3, 5)(-6, -1)
y = ⅔x + 3
3) (4, -6)(-4, -6)
y = -6
4) m = - ¾ (-8, 7)
y = - ¾x + 1
5) m = 2 (5, 6)
y = 2x – 4
6) m = undefined (3,8)
x=3
7) y - 5 = ¼(x - 4)
y=¼x+4
8) 48x - 12y = 72
y = 4x – 6
9) y + 2 = -⅗(x - 10)
y = -⅗x + 4
10) 54x + 18y = 36
y = -3x + 2
11) 55x - 22y = 66
y = (5/2)x – 3
12) y - 4 = - ⅓(x + 3)
y = -⅓x + 3
ATTENTION TO DETAIL ON LABELING!!!!!
Name
All Reviews Together
Quarter 2 Exam Review
Q2 Test 1 Review
Part I: Find the equation in slope intercept form and graph: (3 on each set of axis, to save paper)
1) (-3, 6)(4, -8) y = -2x
4) m = - ¾ (-8, 7) y= - ¾x + 1
7) y - 5 = ¼(x - 4) y = ¼ x +4
10) 54x + 18y = 36 y= -3x + 2
2) (3, 5)(-6, -1) y = ⅔x + 3 3) (4, -6)(-4, -6) y = -6
5) m = 2 (5, 6) y = 2x -4
6) m = undefined (3,8) x = 3
8) 48x - 12y = 72 y = 4x-6 9) m = 0 (-3,8) y = 8
11) 55x - 22y = 66 y= (5/2)x-3 12) y+6 = (-⅓)(x + 3) y= -⅓x-7
Part II: Parallel Lines
a) Use the two points to find the equation of the line.
b) For the line found in part a, find a line that is parallel and passes through the given point.
c) Graph both lines on the same set of axis. (Use 3 separate graphs for 1,2, and 3)
Given Line:
Parallel:
1) (-3, 13) (3, -11) y= -4x +1
(-1,-2)
y = -4x - 6
Given Line:
Parallel:
2) (8,-3) (-4,-6)
y=¼x-5
(4,5)
y=¼x+4
Given Line:
Parallel:
3) (5,7) (5,4)
x=5
(-6,-7)
x = -6
For #’s 4-7, just find the equation. You do not have to graph.
4) Find the equation of the line parallel to y = ⅔x – 5, passing through (-9, 4).
5) Find the equation of the line parallel to y = -5x + 1, passing through (-4, 9)
6) Find the equation of the line parallel to x = -7, passing through (8, -9)
7) Find the equation of the line parallel to y = 3, passing through (-6, -9)
Part III: Solve each system graphically
1) y = 2x - 5
(4,3)
y = - ½x + 5
2) 15x + 15y = 75
y + 6 = (3/2)(x + 4)
3) y - 3 = ¾ (x - 8)
34x – 17y = -34
(-4,-6)
4) 24x - 18y = -18
y = -7
5) y + 4 = (- ⅓)(x + 9)
27x + 9y = 81
(6,-9)
6) x = -3
y + 15 = (-5/3)(x - 9)
(-3, 5)
6) y > 6
HOY
(2,3)
(-6,-7)
Part IV: Solve and graph each inequality:
1) 24x – 6y > 12
y < 4x - 2
2) y + 2 > - ⅓(x – 12)
y > - ⅓x - 2
3) 15x + 10y > -40
y > (-3/2)x - 4
4) y - 9 < ⅗(x – 5)
y < ⅗x + 6
5) x < -5
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Name
All Reviews Together
Quarter 2 Exam Review
Q2 Test 2 Review
Graph each inequality (graphs on the back):
1) 18x – 54y > 108
x>3
2) y - 3 > -3(x + 1)
y<-4
3) y – 7 < -3(x + 2)
24x – 48y < 144
4) y – 5 > ¾ (x – 8)
16x + 12y < 36
Solve Each System Using Substitution:
1) x = 4- 3y
7x + 10y = 50
2) 8x + 11 = y
6x – 5y = 30
4) 14 – x = 2y
8x – 9y = -138
3) 3x + y = 11
5x + 8y = -7
Solve Each System Using Elimination:
1) 5x – 6y = --86
7x + 10y = 82
2) 9x + 5y = 53
-3x + 11y = -71
3) 10x – 3y = 29
4x + 11y = -86
4) 7x – 8y = 123
8x + 10y = -3
5) 14x + 5y = 10
7x + 11y = -97
6) 4x – 9y = -34
6x + 7y = -51
7) 12x + 11y = -45
11x + 14y = -53
8) 10x – 13y = 123
12x + 7y = 12
9) 3x + 11y = -40
7x + 6y = -54
10) 6x + 11y = 10
5x + 9y = 9
11) 2x = 5y – 34
3x – 7y = -49
12) 8y = -30 + 11x
6x – 13y = 65
Answer Key:
Substitution: 1) (10,-2)
2) (-2.5,-9)
3) (5,-4)
Elimination: 1) (-4,11)
2) (-2,-7)
3) ( ½ , -8)
4) (9,-7.5)
5) (5, -12)
6) (-8.5,0)
7) (-1,-3)
8) (4.5, -6)
9) (-6,-2)
10) (9,-4)
11) (-7,4)
12) (0, -5)
4) (-6,10)