TCP Unit 1

Variables and Expressions

100

Evaluate x² - 2(x - 3) for when x = 3

what is 9?

200

Evaluate 8 - 2x³ when x = -3

62

300

Simplify

-7(5k - 4)

-35k + 28

400

Simplify 5(2x+1) - 4

10x + 1

500

Simplify

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

-z - 92

Commutative, Associative, and Distributive Properties

100

Which property is being used in the equation below?

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

What is the commutative property?

200

Rewrite the following using the associative property of multiplication

5 x ( 3 x 7 )

(5 x 3) x 7

300

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

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

The associative property

400

Distribute 3(2x² + 4x + 6)

6x² + 12x + 18

500

Distribute 2x²(5x³ + 2x² + 6x + 9)

10x⁵ + 4x⁴ + 12x³ + 18x²)

Factoring and Trinomials

100

Factor the expression

6 - 3x

3(2 - x)

200

Write out the following as an equivalent trinomial

(x + 2)(x - 3)

x²-x-6

300

Rewrite the binomial as an equivalent trinomial

(k-2)(k-3)

k²-5k+6

400

Factor the following by using the distributive property 

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

5(x-2)

500

Rewrite the following as an equivalent trinomial

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

40x² + 28x - 24

Exponents

100

Write out the term as an extended product

x²y⁴

x * x * y * y * y * y

200

Write out the term as an extended product

(-4x³)²

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

300

Simplify the product 

5x³ * 2x⁷

10x¹⁰

400

Simplify the product

4n⁴ * 2n^-3

8n

500

Simplify the product

(5x²y⁴)³

125x⁶y¹²

Algebraic Puzzles

100

Write the variable expression that correlates with the word phrase

4 less than a number n

n - 4

200

A number z times 3

3z

300

A fifth of the sum of a number a and 34

1/5(a + 34)

400

Negative thirteen decreased by 3 times a number

-13 - 3x

500

Five times the sum of a number and -23

5(x + (-23))