7th grade Algebraic Expressions

Vocabulary

100

What is a variable? 

An unknown number (a letter or symbol)

200

In the expression 6y-2y+9, the coefficients are...

What is 6 and -2

300

In the expression, 8t+11t-9, the constant is

What is -9

400

Expressions that have the same variable raised to the same exponent that you can combine

What are like terms

500

Write an expression that includes 4 terms and 2 variables and 1 coefficient.

Answers may very

Like Terms

100

Simplify: t + 8 + 3t

4t + 8

200

Simplify 3z + 4 + 2 + 4z: 

7z + 6

300

Simplify 2n - n - 4 + 7n: 

8n - 4

400

Simplify 1.4y + 5 - 4.2 + 5y + z 

6.5y + z + 0.8

500

Simplify: 5x - 4 + 6y - 10y+ 4x + 8 - x

8x - 4y + 4 

Adding Algebraic Expressions

100

Simplify the expression 12g + 9g

What is 21g

200

Simplify the expression, 11x + 9 + 3 - 12x

What is -x + 12

300

Find the sum (n + 8) + ( n - 12)

What is 2n - 4

400

Find the sum (2w - 9) + (-4w - 5)

What is -2w-14

500

You start a new job. After w weeks, you have (10w +120) dollars in your savings account and (45w + 25) in your checking account. Write an expression that represents the total in both account

What is 55w + 145

Substitution

100

Solve the expression if m is equal to -2

5m 

What is -10

200

Solve the expression if v is equal to 3 

5v² - 4

What is 41

300

Combine Like terms and then solve for g 

(4g + 7) + (-g + 11)

g = 2

What is 24

400

Find the difference (6d + 5) - (2 - 3d)

Then substitute d=1

What is 0

500

Find the difference [(7r - 2) - (4r + 3)]-3

The substitute. r = -5

What is 75

Distributive Property

100

Distribute the expression 2(h + 5) 

2h + 10

200

Distribute, then simplify the expression 4(b - 6) + 19

What is 4b - 5

300

Distribute, then simplify the expression 

-2(s - 6) 

-2s + 12

400

Distribute then simplify the expression 

-8(-8c + 6) +3(6)

64c - 30

500

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

What is 20x + 36