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2.4 Creating and Solving Inequalities Review

2.4 Creating and Solving Inequalities Review

Assessment

Presentation

•

Mathematics

•

7th - 10th Grade

•

Medium

•
CCSS
6.EE.B.8, 7.EE.B.4B

Standards-aligned

Created by

Grace Gardner

Used 10+ times

FREE Resource

4 Slides • 9 Questions

1

by Grace Gardner

2

​Solving Inequalities

​In the last lesson we learned that you can solve an inequality the same way as you would solve an equation, with one difference: when you multiply or divide by a negative number, the inequality will reverse.

​

The next three questions are about solving inequalities.

​

  • Simplify both sides of the expression.

  • ​Move variable terms to one side of the equation using the properties of equality.

  • ​Solve using the properties of equality.

3

Multiple Choice

-138 ≥ -6(6b − 7)
1
b ≤ 5
2
b ≤ -5
3
b ≥ 5
4
b ≥ -5

4

Multiple Choice

-p − 4p > -10
1
p > -2
2
p > 2
3
p < -2
4
p < 2

5

Multiple Choice

Question image

Solve the inequality

1

x ≥ -7

2

x ≤ -7

3

x ≤ -15

4

x ≥ -15

6

​In the first lesson we learned that you plot an inequality on a number line.

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The next three questions are about plotting the solutions of inequalities.

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  • > or < open circle because they do not include the value.

  • ≥ or ≤ closed circle because they do include the value.

Plotting Inequalities

7

Multiple Choice

Question image

Farah is graphing the inequality . She draws a number line and shades over the numbers that are greater than 4.

What must she do to complete his representation of x > 4?

1

Draw an open circle at 4.

2

Draw a closed circle at 4.

3

Draw an open circle at 5.

4

Draw a closed circle at 5.

8

Multiple Choice

Question image
What inequality does the number line graph represent?
1
x > 5
2
x < −5
3
x ≥ 5
4
x ≥ −5

9

Multiple Choice

When you graph an inequality, you use a closed dot when you use which symbols?
1
≤, ≥ 
2
<, >
3
≤, <
4
≥, >

10

Writing Inequalities

​In the first lesson of this module we learned how to pick out key words in order to write an inequality based on word problems.

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The next three questions are about picking out key words in order to write an inequality based on word problems.

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  • Use what you learned last class, including the group slides and Jamboards as tools.

11

Multiple Choice

Layan saved more than $36. Which inequality represents the amount that she saved? 

1
s > 36
2
s < 36
3
s ≤ 36
4
s ≥ 36

12

Multiple Choice

6. J&A Cookies makes a profit of 5.50BHD per Mini Cheescake. If the store wants to make a profit of no less than $5225, how many Mini Cheescakes does it need to sell? 

1
x/5.50 ≥ 5225
2
5.50x ≥ 5225
3
x + 5.50 ≤ 5225 
4
x - 5.50 ≤ 5225

13

Multiple Choice

Question image

Ariana is going water skiing. She can purchase skis for $125 or she can rent skis for $30 an hour. In both cases she must rent a safety flotation device to wear that is $5 per hour. Which inequality shows the number of hours Ariana must ski for the cost of buying skis to be less than renting skis?

1

125 + 5x > 30x

2

125 + 5x < 35x

3

125 + 5x < 30x

4

125 + 5x > 35x

pattern-tertiary

by Grace Gardner

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