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Evaluate Algebraic Expressions
Properties
Distributive Property
Factoring
Mix-up
100
Evaluate the expression if c = 8 and d = -5. 2d^2 + 2c
What is 66?
100
Name the property shown: 5 + (a + 8) = (5 + a) + 8
What is the Associative Property of Addition?
100
Use the Distributive Property to rewrite the expression. (6 + d)(-6)
What is -36 - 6d?
100
Find the GCF for 25x, 15xy
What is 5x?
100
Evaluate the expression: |-5| - |7 - 4|
What is 2? |-5| - |7 - 4| 5 - |3| 5 - 3 2
200
Evaluate the expression if x = 3.2, y = 6.1 and z = 0.2. x + y - z
What is 9.1?
200
Name the property shown: 1 (c) = c
What is the Identity Property of Multiplication?
200
Use the Distributive Property to rewrite the expression. -5(4 + x)
What is -20 - 5x?
200
Factor the expression 36x + 24
What is 12(3x + 2)?
200
Tony had $360 in his savings account. His bank statement showed two transactions. A withdrawal of $45 and a deposit of $25. What is the balance in his savings account after the two transactions?
What is $340? Withdrawal means -$45; Deposit means $25. 360 - 45 + 25 = 315 + 25 = 340
300
Evaluate the expression if m = 2, n = 6 and p = -4. 3m + 4p
What is -10?
300
Anything times zero is zero shows which property?
What is the Multiplicative Property of Zero?
300
Use the Distributive Property to rewrite the expression. -2(3f - 5g)
What is -6f + 10g?
300
The area of a rectangle porch is (9x + 18) square units. Factor 9x + 18 to find possible dimensions of the porch.
What is 9(x + 2) OR 3(3x + 6)?
300
A restaurant had 5 pies, each cut into eighths. By noon, 3/4 of all the pieces were sold. How many pieces of pie were sold by noon?
What is 30 pieces were sold by noon? 5 divided by 1/8 = 5 (8) = 40 40 (3/4) = 120/4 = 30
400
The expression 5n + 2 can be used to find the total cost in dollars of bowling, where n is the number of games bowled and 2 represents the cost of the shoe rental. How much will it cost Vincent to bowl 3 games?
What is $17?
400
Simplify the expression. List the properties used. 11s(4)
What is 11s(4) (4)11s : Commutative Property of Multiplication 44s: Simplify
400
Mr. and Mrs. Caputo are taking their family into the city on the train. The cost per person is $5.80. If there are 4 members in their family, how much does the train trip cost?
What is $23.20? 4(5.80) = 4(6 - 0.2) = 24 - 0.8 = 23.20
400
James is factoring 90x - 15. He did the following: 90x - 15 = 15(6x) = 9 Find his mistake and correct it.
What is he did not divide out the GCF. 90x - 15 = 15(6x - 1) He did not use the 1 as a placeholder. Then he added unlike terms.
400
Evaluate the expression: -3 - 5 - (-8) - 12
What is -12? -3 - 5 - (-8) - 12 -3 + (-5) + 8 + (-12) -8 + 8 + (-12) = -12
500
Write an algebraic expression with the variable x that has a value of 3 when evaluated.
Answers will vary.
500
Simplify each expression. List the properties used. (22 + 19b) + 7
What is (22 + 19b) + 7 7 + (22 + 19b): Commutative Property of Addition (7 + 22) + 19b: Associative Property of Addition 29 + 19b: Simplify
500
Write an expression that when using the Distributive Property can be simplified to 12a + 18b - 6c.
What is 2(6a + 9b - 3c) OR 3(4a + 6b - 2c) OR 6(2a + 3b - c)
500
Factor the expression. If the expression cannot be factored, write cannot be factored. 4x - 7
What is this cannot be factored?
500
Simplify the expression: 6x - 9 - 10x
What is - 4x - 9? 6x - 9 - 10x 6x + (-9) + (-10x) (6x + -10x) + (-9) -4x - 9