Algebraic Expressions
Writing Expressions
Properties of + and x
Distributive Property
100
Evaluate the expression when x=20 and y =4: x/5
4
100
11 fewer than a number b
b-11
100

Tell which property the statement illustrates. 

4 * x = x * 4

Commutative Property of Multiplication

100
Use the Distributive Property to simplify the expression. 2(x+12)
2x + 24
200
Evaluate the expression when x=20 and y =4: y + x
24
200
The product of a number d and 32
32d
200
Tell which property is illustrated by the statement. 3+z = z+3
Commutative Property of Addition
200
Use the Distributive Property to simplify the expression. 11(b-3)
11b - 33
300
Evaluate the expression when x=20 and y =4: 8y - 6
26
300
18 added to a number n
n + 18
300
Tell which property is illustrated by the statement. (2x5)c = 2(5xc)
Associative Property of Multiplication
300
Use the Distributive Property to simplify the expression. 6(6+y)
36 + 6y
400

In a video game, you score "p" game points and "b" triple bonus points. An expression for this score is p + 3b. What is your score when you earn 245 game points and 20 triple bonus points?

305 points

400
A number t decreased by 17.
t-17
400

Tell which property is illustrated by the statement. 

(3 + 6) + 5 = 3 + (6 + 5)

Associative Property of Addition

400
Use the Distributive Property to simplify the expression. 4(6a + 7 - 2b)
24a +28 - 8b
500
Identify the terms, coefficients, and constants of this expression: 3xsq. + 13 + p
Terms: 3xsq, 13, p Coefficients: 3, 1 Constants: 13
500
Your basketball team scored 4 fewer than twice as many points as the other team. Write the expression for the number of points your team scored. Then, evaluate assuming that the other team scored 24 points.
2x-4; 44 points
500
Tell which property is illustrated by the statement. 5(x-2) = 5x - 10
Distributive Property
500
A family of four goes to a salon for haircuts. The cost of each haircut is $13. Use the distributive property and mental math to find the product of 4x13 for the total cost.
4(10) + 4(3) = 40+12 = 52
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