Solving Equations & Inequalities

Presentation

•

Mathematics

•

7th Grade

•

Easy

Mary A Melillo

Used 4+ times

FREE Resource

4 Slides • 20 Questions

Review of Solving Equations

To solve equations we must isolate the variable.

To isolate the variable we use inverse operations.
When solving equations with parentheses, you should distribute first. Then, use inverse operations.
Always combine like terms on the same side of the equal sign before using inverse operations.

Dropdown

The goal when solving equations is to isolate the

Dropdown

To isolate the variable, we must use

operations.

Fill in the Blanks

Solve the following equation.

$-14+2x=-6$

x =

Type answer...

Multiple Choice

Solve the following equation.

$28-4\left(3x+1\right)=0$

x = 0

x = 2

x = 6

x = -2

Fill in the Blanks

Solve the following equation.

$-16-3x=5x+24$

x =

Type answer...

Multiple Choice

True or False.

To solve the equation below the first step could be to subtract 21x from both sides. $21x-30=14x+5$

True

False

Intro to Algebraic Inequalities

Match

Match the following inequalities with their written equivalent.

$x\ \le-2$

$x\ge-2$

$x<-2$

$x>-2$

x is less than or equal to -2

x is greater than or equal to -2

x is less than -2

x is greater than -2

Multiple Choice

True or False.

-2 is a possible solution for $x>-4$

True

False

Inequality Solutions

Inequality solutions can be represented on a number line.

Recall from previous year...

When shading > and < solutions,

leave the circle open.

Dropdown

Which inequality matches the number line below?

x

Multiple Select

Which TWO of the following would we graph as OPEN circles?

x < 5

x > 5

Multiple Select

Which TWO of the following would we graph as CLOSED circles?

x < 12

x > 12

Multiple Choice

Which of the following represents

x > 1

To see the image better, click the image

Multiple Choice

Which of the following represents

x < 4

To see the image better, click the image

Multiple Choice

Which of the following represents

x > 5

Draw

Graph the inequality X < -17

Solving Algebraic Inequalities

To solve inequalities, we will still use inverse operations.
The solution to an inequalities is considered a solution set.

Multiple Choice

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

b > 20

b > 6

b > 14

b > 20

Multiple Choice

Solve the inequality.

$\frac{b}{2}<13$

$b<26$

$b\le26$

$b>26$

$b\ge26$

Multiple Choice

Solve the inequality.

$6+2h>30$

h < 24

18 > h

h > 12

h < -12

Multiple Choice

Solve the inequality.

7b - 3 < 11

b < 2

84 > b

b > 2

b < 84

Open Ended

Give 1 possible solution for the inequality $9x\ -32\ \ge13$

Type response here

Review of Solving Equations

To solve equations we must isolate the variable.

To isolate the variable we use inverse operations.
When solving equations with parentheses, you should distribute first. Then, use inverse operations.
Always combine like terms on the same side of the equal sign before using inverse operations.

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