Algebraic Expression & Equations Review

Solve One-Step Equations

100

Solve: x+7=12

x=5

200

Solve: m−9=14

m=23

300

Solve: 5p=35

p=7

400

 y/4=6

y=24

500

A number plus 13 equals 47. Write an equation and solve for the number.

n+13=47

n=34

Write Algebraic Expressions

100

Write an expression: "7 more than a number n."

n+7

200

Write an expression: "Three times a number p."

3p

300

Write an expression: "The sum of 8 and twice a number x."

8+2x

400

Write an expression for: "Five less than the product of 4 and a number m.

4m-5

500

A movie ticket costs $t and you buy 3 tickets plus $2 for snacks. Write an expression for the total cost.

3t+2

Parts of an Expression

100

 Name the variable in 2y+14−2y+14.

The variable is y

200

In the expression 3x+5, what is the coefficient?

The coefficient is 3

300

In the expression 7a−2b+9, identify the constant.

The constant is 9

400

How many terms are in this expression? 11r−2y+t−7

 4 terms

500

What is the coefficient of the second term?

5s - t + 2n

1

Combine Like Terms

100

3x + 2x

6x

200

5a+7+2a

7a + 7

300

8h+6−7h+5

15h + 11

400

4b - 6 + b² + 9b²

4b - 6 + 10b²

500

A rectangular garden has:

• A length of 3x + 4 feet

• A width of 2x + 1 feet

• What is the perimeter of the garden in simplified form
  
  
  
  
  
  

P=10x + 10

Distributive Property

100

3(2+x) = 6 + x

True or False

The Distributive Property was used correctly?

False

200

4(5+2)

Apply the Distributive Property then simplify.

28

300

Apply distributive property: 2(3x+4)

6x + 8

400

Use distributive property to rewrite and simplify: 5(2a+3)+4

10a + 19

500

 A board is cut into 3 equal pieces; each piece is (x+2) inches long and you have 4 boards. Write and simplify an expression for the total length.

12x + 24