Expressions and Equations Review

Write Algebraic Expressions/Equations

100

Ms. Barnett runs 4 miles every day. Write an EQUATION that could be used to figure out how many days she ran for if she ran a total of 44 miles.

44 = 4d    OR    44 / 4 = d

200

Alisa went to an amusement park. It cost her $7 just to enter. Then, it cost her an additional $2 per ride. Write an expression that can represent this situation if r is the number of rides Alisa went on.

7 + 2r

300

Write an expression to match: "the sum of 5 and a variable, x, which has a coefficient of 3" 

5 + 3x  or   3x + 5

400

Ms. DiTroia bought 5 staplers and spent a total of $32.50. Write AND solve an equation that can be used to determine c, the cost for one stapler.

5c = 32.50,    c = 6.50

500

Write an algebraic expression for the following: "6 less than double a number"

2x - 6

Solving Equations

100

Solve the following equation:  x - 25 = 50

x = 75

200

Solve the following equation: 8x = 88

x = 11

300

Solve the following equation: 

1/2x = 14

x = 28

400

Solve the following equation:  2x + 10 = 20

x = 5

500

Solve the following equation: 4x + 12 = 24

x = 3

Distributive Property

100

2(x+3) 

2x + 6 

200

2(x-10)

2x - 20

300

-4(x+1)

-4x - 4

400

10(10x + 10)

100x + 100

500

4(x + 2x + 7) 

4x + 8x + 28 

12x + 28

Combining Like Terms

100

2x + 3x

5x 

200

4x + 5 + x + 10

5x + 15

300

5x + 2y + 5y + 3x

8x + 7y 

400

5x + 3y + 9x  + 12

14x + 3y + 12

500

Write an algebraic expression to represent the perimeter of a triangle if one side length is 4x + 2, another is 3x, and the last side is 6 - x. Simplify your expression!

6x + 8