Inequalities Review

 Solve:  $2\left(5-x\right)\le12$ 

•  $x\le-1$  

•  $x\ge-1$  

•  $x\le1$  

•  $x\ge1$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 Solve:  $8x-6\left(x-2\right)>20-2x$ 

•  $x>2$  

•  $x>4$  

•  $x>8$  

•  $No\ Solution$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

From the graph, state the inequality:

• $x\le8$
  

• $x\ge8$

• $x<8$

• $x>8$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.12

Based on the graph, what is the interval notation

• $\left(-7,5\right]$

• $\left(-\infty,5\right]$

• $\left[5,\infty\right)$

• $\left(-\infty,5\right)$

What is the largest integer in the solution set: $3x<30$  

• 30

• 10

• 9

• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Given  $7x+2\ge58$  which number is not in the solution set?

• 6

• 8

• 10

• 12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What is the smallest integer in the following solution set: $\frac{3}{5}x+\frac{1}{3}<\frac{4}{5}x-\frac{1}{3}$  

• 3

• 4

• 5

• 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

The cost of a pack of chewing gum in a vending machine is $0.75. The cost of a bottle of juice in the same machine is $1.25. Julia has $22.00 to spend on chewing gum and bottles of juice for her team and she must buy seven packs of chewing gum. If b represents the number of bottles of juice, which inequality represents the maximum number of bottles she can buy?

• 0.75b + 1.25(7) ≥ 22

• 0.75b + 1.25(7) ≤ 22

• 0.75(7) + 1.25b ≥ 22

• 0.75(7) + 1.25b ≤ 22

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Maria orders T-shirts for her volleyball camp. Adult-sized T-shirts cost $6.25 each and youth-sized T-shirts cost $4.50 each. Maria has $550 to purchase both adult-sized and youth-sized T-shirts. If she purchases 45 youth-sized T-shirts, determine algebraically the maximum number of adult-sized T-shirts she can purchase.

• 56

• 55

• 57

• 54

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve -6(1+2x)>6(2x-1)+2x

• x>0

• x<0

• No Solution

• Infinite Solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3