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Name ___________________ Period ______
Date ____________________Score _______
1. Solve for w: 3w – 6 = 5w + 10
2. Simplify: (3a + 4b + c) + (5a – 4b + 2c)
3. Expand: 6(3x – y + 5)
4. Find the greatest common factor: 6a - 30
5. Expand and simplify: (x + 3)(x + 2)
6. Find two integers that multiply to 10 and add to 7.
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Name ___________________ Period ______
Date ____________________Score _______
1. Arrange the following numbers in order from least to greatest:
5
, 8 , -2.1, 32, -0.4
4
2. Simplify: (3x2 + 5x - 1) – (4x2 + 5)
3. Expand: -5(3x2 – 6x + 2)
4. Find the greatest common factor: 5x – 5y – 10z
5. Expand and simplify (x + 3)(x – 2)
6. Find two integers that multiply to 12 and add to 7.
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Name ___________________ Period ______
Date ____________________Score _______
1. Evaluate: -x3 – 4x + 8, if x = -1
2. Simplify: (y2 + y – 6) – (y2 + 5y – 6)
3. Expand: x(2x2 + 3x – 4)
4. Factor: 9x – 18y + 3
5. Expand and simplify: (b - 4)(b - 3)
6. Find two integers that multiply to 18 and add to -9.
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Name ___________________ Period ______
Date ____________________Score _______
1. Create a number line and place the following numbers on it:
2. Simplify: (x – y – z) + (x – y – z) – (x – y – z) + (x + y + z)
3. Expand: xy(3x + 4y)
4. Factor: 42x2 + 48x - 24
5. Expand and simplify: (a + 8)(a - 5)
6. Find two integers that multiply to 30 and add to -13.
29 , 2π, 23,
13
2
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1. Evaluate
3𝑥 2 𝑧−4
𝑦 −1
Name ___________________ Period ______
Date ____________________Score _______
if x = -3, y = 2, and z = 5.
2. Solve for x: (6x + 9) – (2x – 5) = 38
3. Expand: 8m2(3m5 – 2m4)
4. Find the greatest common factor: 5a2 + 2a
5. Expand and simplify: (x + 2)(x + 2)
6. Find two integers whose product is -20 and whose sum is -1.
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1.
Name ___________________ Period ______
Date ____________________Score _______
If x = 60, y = 5, and z = 2, then √
𝑥
2𝑧𝑦
=?
2. Find the polynomial for the perimeter of a triangle whose sides are (x2 + 3x + 2),
(2x2 – 5x – 3), and (x2 + 8x + 15).
3. Expand: 7x2y(3x2y + 2xy2 + x3)
4. Find the greatest common factor: 5x2y + xy + 7xy2
5. Expand and simplify: (y - 3)(y - 3)
6. Find two integers whose product is -24 and whose sum is 5.
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Name ___________________ Period ______
Date ____________________Score _______
1. If x = 125, y = 5, and z = 2, then 𝑧(√𝑥 + √𝑦) = ?
4m + 7
2. Find the value of m if the perimeter of the trapezoid is 67:
2m
2m + 1
3. Expand: 30a(2a + b – 3c)
5m + 7
4. Factor: x2y2 + x3y
5. Expand and simplify: (m + 8)2
6. Find two integers whose product is -60 and whose sum is -11.
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Name ___________________ Period ______
Date ____________________Score _______
1. √5 is between which two integers?
2. Simplify:
12𝑥 5 𝑦 7 𝑧 3
15𝑥 7 𝑦 3 𝑧 3
3. Expand: 6x2(7x2 – 5x – 6)
4. Factor: 5a5 + 3a4 + 6a3
5. Expand and simplify: (n – 5)2
6. Find two integers whose product is -18 and whose sum is -7.
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Name ___________________ Period ______
Date ____________________Score _______
2
1. Evaluate 3x2 – 2x + 10, if 𝑥 = 3
2. Write a polynomial for the area of a rectangle whose length is (3x + 4) and whose
width is 2x.
3. Expand: -5m2(-4n – 3m2 – 7)
4. Find the greatest common factor: -14x3y3 + 8x5y + 20x5
5. Expand and simplify: (x + 10)(x – 10)
6. Find two integers that multiply to -16 and add to 0.
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Name ___________________ Period ______
Date ____________________Score _______
1. Solve for d: 3(3d + 5) – 4(2x – 3) = 11
2. Write an expression for the area of a rectangle whose length is n3 and whose
width is 2n2.
3. Expand and simplify: 6x2(x – 7) – 3x(x + 9)
4. Find the greatest common factor: 30u3v6 + 21u2v2 + 3u2v
5. Expand and simplify: (a + 1)(a - 1)
6. Find two integers that multiply to -49 and add to 0.
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Name ___________________ Period ______
Date ____________________Score _______
1. Arrange the following values in order from least to greatest if x = -2:
9
9𝑥
√−4𝑥 𝑥 + 9
𝑥
3
2. Simplify:
(𝑥 2 𝑦 −4 )−1
𝑥 3 𝑦 −4 ∙𝑦 3
3. Expand and simplify: -xy(-y2 + xy – 3x) + 9x2(y2 – 3y + 2)
4. Factor: 12uv + 30uv3
5. Find a polynomial expression for the area of a rectangle whose length is x + 6 and
whose width is x – 2.
6. Find two integers that multiply to 36 and add to 12.
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Name ___________________ Period ______
Date ____________________Score _______
1. Evaluate 𝑥 2 𝑦 3 (√𝑧)
2. Simplify:
2
for x = -4, y = -2, and z = 5
(𝑣𝑢2 ∙2𝑢2 𝑣 0 )2
𝑣𝑢0
3. Expand and simplify: 6(x2 + y2) – x(3x + 4y) + y(4x + 3y)
4. Factor: -60x3y – 18xy
5. Find a polynomial expression for the area of a rectangle whose length is x + 9 and
whose width is x – 9.
6. Find two integers that multiply to -64 and add to -16.