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 and Inequalites

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 = 7

x = 10.5

400

Solve the following equation:  1¹/₂ x = 9

x = 6

500

Solve and graph the following inequality: 

-2X <  4

x >  -2

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 = ¹/₂  and  w = 6

20

500

Evaluate 4y + 8x - k  

when y = 12,  x = ¹/₂,  and k = 1

51

Factoring and Expanding Expressions

100

Final Jeopardy

Factor

21a – 15ab

3a (7 - 5b)

200

Factor:

4x + 12

4 (x+3) 

300

-10(3x -7)

-30x +70

400

5p + 6(4x -2)      

5p + 24x -12

500

4(2x – y) – (x – 5y)  

8x -4y -x + 5y

8x -x +5y - 4y

7x + y

Inequalities

100

Solve the following inequality and graph it on a number line: 

 4x > 28

x > 7

200

Solve and graph the following inequality:

 x + 4 > or = 10

x > 6

300

Write and graph the following inequality: 

 It snowed more than 16 inches on Tuesday.

s > 16

400

Write and graph the following inequality: 

 There are no more than 15 sixth graders who did Math Olympiad.

x < 15

500

Write an inequality to represent the following situation. Then solve and graph the solutions: 

Ashley earns $14 per hour at her job. How many hours, h, would she have to work if she wants to earn at least $210?

14h > or = 210;   h > = 15