8th Grade Inequalities Review

Multiple Choice

$$8x-3\left(2x-4\right)=3\left(x-6\right)$$  

What is the solution to the equation?

• 6

• 2

• 30

• No solution

Multiple Choice

Looking at the graph showing a line of best fit, what is the correlation shown?

• Length of life is constant
• Length of life increases as amount of sunlight increases
• Length of life increases as amount of sunlight decreases
• Length of life decreases as amount of sunlight increases

Fill in the Blanks

Match

Match the symbols and verbal descriptions.

• $$<$$

• $$>$$

• $$\ne$$

• $$\leq$$

• $$\geq$$

Less than

Greater than

Not equal to

Less than or equal to

Greater than or equal to

• Less than

• Greater than

• Not equal to

• Less than or equal to

• Greater than or equal to

Match

Match the Graph and Circle to the correct inequality statement.

• $$x>5$$

• $$x<5$$

• $$x\le5$$

• $$x\ge5$$

• $$\text{Graph: Open circle at } 5, \text{ shade right}$$

• $$\text{Graph: Open circle at } 5, \text{ shade left}$$

• $$\text{Graph: Closed circle at } 5, \text{ shade left}$$

• $$\text{Graph: Closed circle at } 5, \text{ shade right}$$

Multiple Choice

Which graph matches the inequality
k < 3?

• A
• B
• C
• D

Multiple Choice

Which graph matches the inequality
r ≥ -6?

• A
• B
• C
• D

Multiple Choice

Which inequality matches the graph?

• A
• B
• C
• D

Multiple Choice

Which inequality matches the graph?

• A
• B
• C
• D

Multiple Choice

When graphing b ≤ 6 would you use an open or closed circle?

• Open
• closed

Multiple Choice

When graphing b < 6 would you use an open or closed circle?

• Open

• closed

Multiple Choice

When you graph an inequality, you use a closed circle when you use which symbols?

• ≤, ≥

• <, >

• ≤, <

• ≥, >

Multiple Choice

Solve
8x < 48

• x < -6
• x > -6
• x < 6
• x > 6

Multiple Choice

y − 10 > 14

• y > 24
• y < 24
• y > 4
• y < 4

Multiple Choice

Solve

• z≤1
• z>9
• z≤9
• z<9

Multiple Choice

Does the sign need to flip when solving?
-2x ≥ 22

• YES
• NO

Multiple Choice

-2x − 15 ≤ 3

• x ≥ -9 
• x ≤ -9 
• x ≥ 9
• x ≤ 6

Multiple Choice

7m - 8 > 6

• m>2
• m<2
• m>-2
• m<-2

Multiple Choice

Solve: -2x ≤ 14

• x ≤ 7
• x ≤ -7
• x ≥ 7
• x ≥ -7

Multiple Choice

Solve the inequality

• $$y<66$$

• $$y>66$$

• $$y>6$$

• $$y<6$$

Multiple Choice

Solve the inequality

• $$x<-6$$

• $$x\le-6$$

• $$x\ge-6$$

• $$x>-6$$