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Evaluating expressions and Properties of operations
Algebra Practice Evaluating expressions and Properties of operations
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x + 8.8 = 15 Is 6.2 a solution for the equation?
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6.2 + 8.8 = 15 Is 6.2 a solution for the equation? yes
ANSWER = 15 Is 6.2 a solution for the equation? yes
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𝑦 4 = -32 Is -8 a solution for the equation?
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−8 4 = -2 not -32 Is -8 a solution for the equation? No
ANSWER −8 4 = -2 not -32 Is -8 a solution for the equation? No
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8x + 4 = 76 Is 9 a solution for the equation?
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8 × 9 + 4 = 76 Is 9 a solution for the equation? Yes
ANSWER 8 × = 76 Is 9 a solution for the equation? Yes
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-10 = 2n - 20 Is 5 a solution for the equation?
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-10 = 2(5) - 20 Is 5 a solution for the equation? Yes
ANSWER -10 = 2(5) - 20 Is 5 a solution for the equation? Yes
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𝑦 −6 4 = 3.5 Is 20 a solution for the equation?
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20 −6 4 = 3.5 Is 20 a solution for the equation? Yes
ANSWER 20 −6 4 = 3.5 Is 20 a solution for the equation? Yes
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36 𝑥 + (-12) = 21 Is -4 a solution for the equation?
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36 −4 + (-12) = -21 not 21 Is -4 a solution for the equation? No
ANSWER 36 −4 + (-12) = -21 not 21 Is -4 a solution for the equation? No
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Distributive Property Practice
Simplify each expression using the Distributive Property.
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2(x + 4)
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ANSWER 2x + 8
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4(y + 3)
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ANSWER 4y + 12
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(2x + 1)4
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ANSWER 8x + 4
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2(x - 9)
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ANSWER 2x - 18
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2(x + 5) + 2(x + 5)
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ANSWER 2x x x + 20
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7(x + 5) + 3(2x + 2)
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Identifying Equivalent Expressions
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Which expression is equivalent to x + 5(3)?
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ANSWER Which expression is equivalent to x + 5(3)? 5(3) – x
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Which expression is equivalent to 3 × (9 × 7)?
(3 × 9) × 7 3 + (9 + 7) (3 × 9) + 7 3(9 + 7)
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ANSWER Which expression is equivalent to 3 × (9 × 7)? (3 × 9) × 7
3 + (9 + 7) (3 × 9) + 7 3(9 + 7)
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Which expression is equivalent to 3(2 + 9)?
6 + 9 6 + 27 5 + 27
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ANSWER Which expression is equivalent to 3(2 + 9)? 6 + 9 6 + 27 5 + 27
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