Evaluating expressions and Properties of operations Algebra Practice Evaluating expressions and Properties of operations
x + 8.8 = 15 Is 6.2 a solution for the equation?
6.2 + 8.8 = 15 Is 6.2 a solution for the equation? yes ANSWER 6.2 + 8.8 = 15 Is 6.2 a solution for the equation? yes
𝑦 4 = -32 Is -8 a solution for the equation?
−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
8x + 4 = 76 Is 9 a solution for the equation?
8 × 9 + 4 = 76 Is 9 a solution for the equation? Yes ANSWER 8 × 9 + 4 = 76 Is 9 a solution for the equation? Yes
-10 = 2n - 20 Is 5 a solution for the equation?
-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
𝑦 −6 4 = 3.5 Is 20 a solution for the equation?
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
36 𝑥 + (-12) = 21 Is -4 a solution for the equation?
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
Distributive Property Practice Simplify each expression using the Distributive Property.
2(x + 4)
ANSWER 2x + 8
4(y + 3)
ANSWER 4y + 12
(2x + 1)4
ANSWER 8x + 4
2(x - 9)
ANSWER 2x - 18
2(x + 5) + 2(x + 5)
ANSWER 2x + 10 + 2x + 10 4x + 20
7(x + 5) + 3(2x + 2)
Identifying Equivalent Expressions
Which expression is equivalent to x + 5(3)?
ANSWER Which expression is equivalent to x + 5(3)? 5(3) – x
Which expression is equivalent to 3 × (9 × 7)? (3 × 9) × 7 3 + (9 + 7) (3 × 9) + 7 3(9 + 7)
ANSWER Which expression is equivalent to 3 × (9 × 7)? (3 × 9) × 7 3 + (9 + 7) (3 × 9) + 7 3(9 + 7)
Which expression is equivalent to 3(2 + 9)? 6 + 9 6 + 27 5 + 27 3 + 2 + 3 + 9
ANSWER Which expression is equivalent to 3(2 + 9)? 6 + 9 6 + 27 5 + 27 3 + 2 + 3 + 9