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: 

 x/1.5 + 3 = 7

x = 6

400

Solve the following equation: 8(2x + 3) = 120

x = 6

500

Ms. Watkevich is going to write this equation on the board.  Solve it!

x = 11

Evaluating Expressions

100

Evaluate 2x + 12 when x = 8

28

200

Evaluate 3x² when x = 4

48

300

Evaluate 5x² - 2x   when x = 3

39

400

Evaluate  8x² + 3w  

when x = 0.5 and  w = 6

20

500

Evaluate 4y + 8x³ - k  

when y = 12,  x = 1.5,  and k = 1

74

Equivalent Expressions

100

Bob earns $30 per hour tutoring a 3rd grader in math. If he gets a one-time tip of $20, which expression represents how much he will make after h hours of tutoring? 

 A. 50h     B. 30 + 20h     C. 20 + 10h     D. 30h + 20

D. 30h + 20

200

Write an expression that is equivalent to 5(y + 7).

5y + 35

300

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

400

Write using exponential notation: 

3 x 3 x 3 x 3 + 4 x 4 x 4 x 4 + 8 x 8

3⁴ + 4⁴ + 8²

500

Simplify the following:

7x² - 9y + x - 13m + 4(x - y)

when m = 5 & x = 3

13 - 13y

or

-13y + 13

You Better Get These Right

100

How many colors are in a rainbow?

7!  ROY G. BIV

200

What is the largest continent?

Asia

300

What's the smallest state in the United States?

Rhode Island

400

At the beginning of a website, what does "www" mean?

World-Wide Web

500

What 2 US states don't observe Daylight Savings Time?

Arizona and Hawaii