Unit 3 Solving and Creating Inequalities Unit Review

Presentation

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Mathematics

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9th - 10th Grade

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Practice Problem

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Hard

•

CCSS

6.EE.B.8, 6.EE.B.5, 7.EE.B.4B

Standards-aligned

Yao Xu

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12 Slides • 11 Questions

Unit 3 Solving and Creating Inequalities Unit Review

Lesson 3.1 Graphing and Writing Inequalities

open dots are used in "greater than/less than"
closed dots are used in "greater than or equal to" or "less than or equal to"
arrow to the left is the lesser side
arrow to the right is the greater side

Multiple Choice

Write the inequality represented by the graph

$x>-10$

$x<-10$

$x\ge-10$

$x\le-10$

Multiple Choice

Write inequality to represent the situation below.

"The cargo of the truck weighs more than 2000 pounds."

Use w to represent the weight (in pounds) of the cargo.

$w>2000$

$w<2000$

$w\ge2000$

$w\le2000$

Multiple Choice

Translate the sentence into an inequality.

A number x increased by 5 is less than -26

$5x<-26$

$x<-26$

$x+5<-26$

$x5<-26$

Lesson 3.2 Solving One-Step Inequalities

Use inverse operation to solve
watch out for the negative coefficient

Lesson 3.2 Solving One-Step Inequalities

Use inverse operation to solve
watch out for the negative coefficient

Multiple Select

For each value of x, determine whether it is a solution to $x-28\ge12$

Multiple Choice

$-2x\ge18$

Solve the inequality for x.

$x\ge20$

$x\ge9$

$x\le20$

$x\le-9$

Lesson 3.3 Solving and Creating Two-and Multi-Step Inequalities

Solve just like an equation - using inverse operation & working backwards
If you multiply or divide by a negative, remember to flip the inequality!

Multiple Select

$-1+3v>-10$

For each value of v, determine whether it is a solution to

-3

-4

Lesson 3.4 Solving Inequalities With Variables on Both Sides

Move all variable terms to one side

Multiple Select

$-5y-17>2y+11$

Solve the inequality for y. Simplify your answer as much as possible.

y<-4

-4>y

y=-4

y>-4

y>4

Lesson 3.5 Solving and Creating Compound Inequalities

Compound Inequality: AND and OR
Solving Compound Inequality

Multiple Select

Write the compound inequality show from the graph below.

x<-2 or x>5

x>5 or x<-2

x=-2 and x=5

x>5 and x<-2

x>-2 and x<5

Multiple Choice

Solve the compound inequality.

3x-2>-5\ or\ 2x-1\le-11

$x<5\ and\ x\le-1$

$x>-5\ or\ x\le-1$

$x>-5\ and\ x\le5$

$x>-1\ or\ x\le-5$

Lesson 3.6 Solving Absolute Value Equations & Inequalities

make sure the absolute value is greater than or equal to zero
set the "inside" equal to both positive and negative number
solve both equations/inequalities
write your answer as x={a,b}

Multiple Choice

Solve. Use v={a, b} as your answer.

\left|v+7\right|=3

v={4, 10}

v={-10, -4}

v={-3, -4}

v={10, -4}

Multiple Select

Solve.

\left|5x-10\right|<5

x<3 and x>1

x>1and x<3

x<1 or x<3

x<3 or x<1

x>3 and x>1

Unit 3 Solving and Creating Inequalities Unit Review

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