Solving Inequalities Lesson 3

Solving Inequalities Lesson 3

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Multiple Choice

 $\frac{2}{3}x-\frac{1}{2}\left(4x-1\right)\ge x+2\left(x-3\right)$  

Solve the multi-step inequality.

•  $x<\frac{3}{2}$  

•  $x\le\frac{3}{2}$  

•  $x=\frac{3}{2}$  

•  $x<3$  

Multiple Choice

 $5\left(4x+3\right)\ge9\left(x-2\right)-x$  
Is the solution for the inequality above  $x\ge-2.75$  ?

• Yes!

• No, the answer is  $x\le2.75$  

• No, the answer is  $12x\ge-33$  

Multiple Choice

Solve the multi-step inequality. $4-6\le2\left(2x+3\right)$  

•  $6\le4x+6$  

•  $x\le-\frac{1}{5}$  

•  $10x\le6$  

Multiple Choice

Solve the inequality
 $x+11>13$ 

• x=2

•  $x\ne2$  

•  $x\ge2$  

•  $x>2$  

Multiple Choice

What property of inequality is not used in the following inequality to solve for x?  $2\left(x-3\right)\le3x-2$   $x\ge-4$  

• subtraction property of inequity 

• multplication property of inequlity 

• Addition property of inequatiy 

• Division Property of ineqiayiy

Multiple Select

Solve the inequality, justifying each step you use.

 $$x+68\ge 75$$ 

 

•  $x\ge7$  

• Subtration property  of inequality

•  $x\le7$  

• Division property of inequality

Multiple Select

Solve the inequality, justifying each step you use.

 $2x-4\le10$  

• Division propriety on inequality

• x=7

•  $x\le7$  

• addition propriety of inequality 

Multiple Choice

Solve the multi-step inequality. $4x+3<-1$  

• x < 1

• X > -1

• x < -1 

• x > 1

Multiple Choice

Solve the inequality.

x – 8 > -20

• x > 12

• x < -12

• x > -12

• x < 12

Multiple Select

Solve the inequality, justifying each step you use. $\frac{x}{-3}>-\frac{10}{9}$  

• x< 10/3

• -10/3<x

• Division property of equality 

• multiplication property of inequality 

Multiple Select

Solve the inequality, justifying each step you use. $-5x<35$  

• x > -7

• x > 7

• Division property of inequality

• addition property of inequality

Multiple Choice

Jade just took a math test with 20 questions, each question is worth an equal number of points.

The test is worth 100 points total.

Suppose Jade got a score of 60% and then was allowed to retake the test. On the retake, she

got all the questions right that she got right the first time, and also got half the questions

right that she got wrong the first time. What percent of the questions did Jade get right, in

total, on the retake?

• 100%

• 60%

• 50%

• 80%

Multiple Choice

Jade just took a math test with 20 questions, each question is worth an equal number of points.

The test is worth 100 points total.

c. If a score of 83 points earns a grade of B, how many questions would Jade need to get right

to get at least a B on the test?

• 83

• less than 10

• 17 or more

• 14 or less

Multiple Choice

Jade just took a math test with 20 questions, each question is worth an equal number of points.

The test is worth 100 points total.

If a score of 70 points earns a grade of C-, how many questions would Jade need to get right

to get at least a C- on the test?

• q ≥ 70

• q ≥ 15

• 7

• q≥14

Multiple Choice

Jade just took a math test with 20 questions, each question is worth an equal number of points.

The test is worth 100 points total.

a. Write an equation that can be used to calculate Jade’s score based on the number of

questions she got right on the test.

• five points each

• one point each

• four points each

• twenty points each

Multiple Choice

The local amusement park sells summer memberships for $50 each. Normal admission to the

park costs $25; admission for members costs $15.

d. How many visits can he make as a non-member with the increased budget of $160?

let v = the be the numbers of visits

• v ≤ 7

• v ≤ 6

• 25 ≤ v

• 7 ≤ v

Multiple Choice

The local amusement park sells summer memberships for $50 each. Normal admission to the

park costs $25; admission for members costs $15.

If he increases his budget to $160, how many visits can he make as a member?

let v = the be the numbers of visits

• v ≤ 7

• v ≤ 3

• v ≤ 160

• v ≥ 7

Multiple Choice

The local amusement park sells summer memberships for $50 each. Normal admission to the

park costs $25; admission for members costs $15.

b. How many visits can he make if he pays normal admission?

let v = the be the numbers of visits

• v ≤ 3

• v ≤ 2

• v ≤ 4

• v ≤15

Multiple Choice

The local amusement park sells summer memberships for $50 each. Normal admission to the

park costs $25; admission for members costs $15.

a. If Darren wants to spend no more than $100 on trips to the amusement park this summer,

how many visits can he make if he buys a membership with part of that money?

• 4

• 6

• 2

• 3