Solving Inequalities Review

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18 

Pick the correct letter for:
6 > x

• A
• B
• C
• D

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Solve the equation.
-11-5a = 6(5a + 4)

• -1
• -2
• -3
• -4

-2 (x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

2x + 3(5x - 7) = 47

• 1
• 2
• 3
• 4

-8b - 8 > 56

• b > 6

• b < -8

• b > -8

• b > 7/2

Which word problem represents the inequality:
x + 32 ≥ 80
(Show work by writing down inequality clue words.)

• Janine's goal is to earn at least $80 for soccer camp.  She has earned $32 so far.  How much more does she need to earn?
• Janine made more than 80 points during the basketball season.  She made 32 points the first five games.  How much did she score the rest of the games?
• Janine scored above an 80 on her math homework.  But, she turned her work in late and was deducted 32 points.  What did she make after the deduction?

Write an inequality:
Twenty-two more than four times a number is less than 82.

• 22 + 4n ≤ 82
• 22 + 4n > 82
• 82 + 22n ≥ 4
• 22 + 4n < 82

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?