7th grade Algebraic Expressions

Vocabulary

100

List the variables in the following expression:

8m³+2p²-4p+x-y²

m,p,x,y

200

List the coefficients from the expression 

-7x⁴+x³-2y+12

-7,1,-2

300

Classify the polynomial 8t-9+11t-3t². 

What is the constant?

Trinomial

-9

400

Terms that have the same variable raised to the same exponent but can have different coefficients are...

Like terms

500

How many terms does a monomial, binomial, trinomial, and polynomial have?

Monomial-1, Binomial-2, Trinomial-3, and Polynomial-more than 3

Translating Expressions

100

4t+8

Four multiplied by a number increased by eight

200

Eight less than twice a number

2x-8

300

m²+24

Twenty-four more than a number multiplied by itself

400

Twelve multiplied by fifteen less than a number

12(n-15)

500

n/4 -12

Twelve subtracted from the quotient of some number and four OR One fourth of some number decreased by twelve

Classifying Polynomials

100

12g + 9g

21g

Monomial

200

11x + 9 + 3

11x + 12

Binomial

300

(n + 8) + ( n - 12)

2n - 4

Binomial

400

(2w - 9) + (-4w - 5) + s²

s²-2w-14

Trinomial

500

2x³+4x²−3+x²−5x+7+3x³

5x³+5x²−5x+4

Polynomial

Algebraic Expressions

100

4j²+k+j²+k

5j²+2k

200

13x-3+8-19x

-6x+5

300

(-2g + 7) - (g + 11)

-3g - 4

400

(6d + 5) - (2 - 3d)

9d +3

500

You just got a new pool and need to get a fence to put around it. If the pool is a square with side lengths of (2x-3). Find the perimeter of the pool.

8x-12

Simplifying Expressions

100

What are the two steps we follow when simplifying expressions?

1. Use the distributive property (multiply)

2. Combine like terms (add/subtract)

200

4(b - 6) + 19

4b - 5

300

1/2(-6x+10)-(15-7x)

4x-10

400

-(x - 8) + 7(4 + 3x)

20x + 36

500

-2(s - 6) + 4(s + 12) + 4 - 3s

-s + 64