Equations & Inequalities Review

Equations & Inequalities Review

Multiple Choice

Solve for x:

x - 8 = -5

• 13

• -13

• 3

• -3

Multiple Choice

Which graph shows the solution to $x+2<12$   ?

Multiple Choice

The solution of the equation $5-2x=-4x-7$   is

• 1

• 2

• -2

• -6

Multiple Choice

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?

Multiple Choice

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?

• 60 - 15x = 210

• 15x - 60 = 210

• 15x + 60 = 210

• 210 + 15x = 60

Multiple Choice

Which inequality represents the following: John could have a maximum of 8 people over to his house.

• x > 8

• x < 8

• x ≤ 8

• x ≥ 8

Multiple Choice

 $\frac{1}{2}x-5=-3$  

Solve for x.

•  $4$  

•  $16$  

•  $1$  

•  $-16$  

Multiple Choice

Determine the solution to this compound inequality. Use "x" as your variable.

• x is less than 0 OR x is greater than or equal to 4

• x is greater than or equal to 0 OR x is less than 4

• x is less than 0 OR x is greater than or equal to 4

• x is less than or equal to 0 OR x is greater than 4

Multiple Choice

Which graph shows the solution of $5x-1<3\left(x-2\right)$   ?

Multiple Select

Which of the following could be possible solutions when solving an equation with the variable on both sides of the equal sign?

• the variable has 1 solution

• the variable has NO solutions

• the variable can represent ALL real numbers