Variables and Expressions
Commutative, Associative, and Distributive Properties
Factoring and Trinomials
Exponents
Algebraic Puzzles
100

Evaluate x- 2(x - 3) for when x = 3

what is 9?


100

Which property is being used in the equation below?

9x - 3 + 10 - 5x = 9x - 5x - 3 + 10

What is the commutative property?

100

Factor the expression

6 - 3x

3(2 - x)

100

Write out the term as an extended product

x2y4

x * x * y * y * y * y

100

Write the variable expression that correlates with the word phrase

4 less than a number n

n - 4

200

Evaluate 8 - 2x3 when x = -3

62
200

Rewrite the following using the associative property of multiplication

5 x ( 3 x 7 )

(5 x 3) x 7
200

Write out the following as an equivalent trinomial

(x + 2)(x - 3)

x2-x-6

200

Write out the term as an extended product

(-4x3)2

-4 * x * x * x * -4 * x * x * x

200

A number times 3

3z

300

Simplify

-7(5k - 4)

-35k + 28

300

Which property is used to get from one expression to the next?

-6x + 8x - 10 - 4 = (-6x + 8x) + (-10 - 4)

The associative property


300

Rewrite the binomial as an equivalent trinomial

(k-2)(k-3)

k2-5k+6

300

Simplify the product 

5x3 * 2x7

10x10

300

A fifth of the sum of a number and 34

1/5(a + 34)

400

Simplify 5(2x+1) - 4

10x + 1

400

Distribute 3(2x2 + 4x + 6)

6x2 + 12x + 18

400

Factor the following by using the distributive property 

(2x + 4) + (3x - 14)


5(x-2)

400

Simplify the product

4n4 * 2n-3

8n

400

Negative thirteen decreased by 3 times a number

-13 - 3x

500

Simplify

-91z - z - 43 + 91z - 1 + 1 + 1 - 50

-z - 92

500

Distribute 2x2(5x3 + 2x2 + 6x + 9)

10x5 + 4x4 + 12x3 + 18x2)

500

Rewrite the following as an equivalent trinomial

(5x + 4)(8x - 4)


40x2 + 28x - 24

500

Simplify the product

(5x2y4)3

125x6y12

500

Five times the sum of a number and -23

5(x + (-23))

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