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Adamson U
Elementary Algebra
Practice Quiz (with Answer)

1
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3x and 5x are both multiples of x, so we can add them together
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Simplify: 2(x + 3)
To simplify this expression, we use the distributive property
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Simplify: 4x - 2x
To simplify this expression, we subtract like terms
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4x - 2x = (4-2)x = 2x
4
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3(2x + 4) = 3(2x) + 3(4) = 6x + 12
5
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(3x + 2)(4x - 6) = 3x(4x) + 2(4x) - 3x(6) - 2(6)
= 12x^2 + 8x - 18x - 12 = 12x^2 - 10x - 12
6
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Simplify: 3x^2 - 2x + 1
This is a quadratic expression in the form of (x+a)^2+b where a=-1, b=1
8
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(2x + 3)(x - 4) = 2x(x) + 2x(-4) + 3(x) + 3(-4)
= 2x^2 - 8x + 3x - 12 = 2x^2 - 5x - 12
9
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Simplify: 2x^3 + 4x^2 - 6x
To simplify this expression, we add like terms
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2x^3 + 4x^2 - 6x = 2x^3 + 4x^2 - 6x = 2x^3 + 4x^2 - 6x
11
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First, we subtract 3 from both sides: 2x = 4

Next, we divide both sides by 2: x = 2
12
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First, we add 4 to both sides: 3x = 14
Next, we divide both sides by 3: x = 4
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Solve: 4x + 2 = 14
To solve this equation, we want to find the value of x that makes the
equation true
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Solve: 5x - 6 = 16
To solve this equation, we want to find the value of x that makes the
equation true
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4
15
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First, we subtract 3 from both sides: 6x = 18
Next, we divide both sides by 6: x = 3

16
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3x + 2 becomes 3(4) + 2 = 12 + 2 = 14
17
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4x - 5 becomes 4(3) - 5 = 12 - 5 = 7
18
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2x + 1 becomes 2(5) + 1 = 10 + 1 = 11
19
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5x - 3 becomes 5(2) - 3 = 10 - 3 = 7
20
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3x^2 + 2x becomes 3(4^2) + 2(4) = 48 + 8 = 56
21
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2(3x + 4) - 5x = 6x + 8 - 5x = 6x - 5x + 8 = x + 8
22
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3(2x - 3) + 4x = 6x - 9 + 4x = 6x + 4x - 9 = 10x - 9
23
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(2x + 3)(4x - 5) - 3x = 8x^2 + 2x - 12x - 15 - 3x = 8x^2 - 14x - 15
24
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(3x - 2)(2x + 1) + x = 6x^2 + x - 4x - 2 + x = 6x^2 - 3x - 1
25
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x^3 - 2x^2 + 3x - 4 = x^3 - 2x^2 + 3x - 4
26
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First, we subtract 2 from both sides: 3x = 8
Next, we divide both sides by 3: x = 2
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Solve: 2x - 4 = 8

To solve this equation, we want to find the value of x that makes the
equation true
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Solve: 5x + 3 = 17
To solve this equation, we want to find the value of x that makes the
equation true
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8
29
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First, we add 6 to both sides: 4x = 20
Next, we divide both sides by 4: x = 5
30
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First, we subtract 2 from both sides: 6x = 20
Next, we divide both sides by 6: x = 3

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