All the Steps!

Presentation

•

Mathematics

•

7th - 9th Grade

•

Medium

Jai Johnson

Used 14+ times

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10 Slides • 34 Questions

All the Steps!

By Jai Johnson

What we do to one side of the equation we must do to the other.

Keep it equal!

Remove numbers on the same side of the equation as x by using inverse (or opposite) operations

Get "x" by itself

Two Rules of Solving Equations

Some text here about the topic of discussion

GET READY!

What inverse operation should you do to solve for x on the following problems?

Some text here about the topic of discussion

Multiple Choice

x - 4 = 10

add 4

subtract 4

multiply by 4

divide by 4

Multiple Choice

$\frac{x}{6}=3$

add 6

subtract 6

multiply by 6

divide by 6

Multiple Choice

-2 = x + 9

add 9

subtract 9

multiply by 9

divide by 9

Multiple Choice

-2 = 9 + x

add 9

subtract 9

multiply by 9

divide by 9

Multiple Choice

-2 = -9 + x

add 9

subtract 9

multiply by -9

subtract x

Multiple Choice

8x = 16

add 8

subtract 8

multiply by 8

divide by 8

Multiple Choice

$15=\frac{3}{4}x$

add 3/4

subtract 3/4

multiply by 3/4

divide by 3/4

Multiple Choice

93.4781 + x = 18924.92

add 93.4781

subtract 93.4781

multiply by 93.4781

divide by 93.4781

Remove any numbers that are being multiplied or divided by x

2) Multiply or divide

Remove any numbers that are being added to or subtracted from x

1) Add or subtract

Two-Step Equations

Some text here about the topic of discussion

GET READY

What is the FIRST step to solving the following problems?

Some text here about the topic of discussion

Multiple Choice

5x - 2 = 13

Add 2

Subtract 13

Multiply by 5

Divide by 5

Multiple Choice

$\frac{2}{3}x+4\ =\ 18$

Add 4

Subtract 4

Multiply by 2/3

Divide by 2/3

Multiple Choice

58 = 9 + 7x

Add 9

Subtract 9

Add 58

Subtract 58

Multiple Choice

$-6\ +\ \frac{1}{8}x\ =\ 1$

Add 6

Subtract 6

Add 1/8

Subtract 1/8

WAIT! AN EXCEPTION!

If EVERYTHING is being multiplied or divided by a value, remove that value FIRST!

Some text here about the topic of discussion

Multiple Choice

12(x - 4) = 36

Add 4

Subtract 4

Multiply by 12

Divide by 12

Multiple Choice

42 = -6(x - 3)

Add 6

Subtract 6

Multiply by -6

Divide by -6

Multiple Choice

$\frac{3+x}{5}=-4$

Add 3

Subtract 3

Multiply by 5

Divide by 5

TIME TO SOLVE!

Grab your white boards and calculators!

Some text here about the topic of discussion

Multiple Choice

x - 4 = 10

-40

-2.5

Multiple Choice

$\frac{x}{6}=3$

-3

0.5

Multiple Choice

-2 = x + 9

-11

-7

Multiple Choice

8x = 16

128

HOW TO DIVIDE BY A FRACTION

Multiply by its "reciprocal" (or its re-flip-rocal)

Flip it and multiply:

Instead of dividing by 2/3, multiply by 3/2. 2/3x = 14

Instead of dividing by 1/5, multiply by 5/1. 1/5x = -3

Some text here about the topic of discussion

Multiple Choice

$15=\frac{3}{4}x$

11.25

Multiple Choice

5x - 2 = 13

2.2

Multiple Choice

2x + 1 = 9

Multiple Choice

$\frac{2}{3}x+4=18$

9.33

Multiple Choice

58 = 9 + 7x

343

Multiple Choice

12(x - 4) = 36

3.33

2.66

-1

Multiple Choice

42 = -6(x - 3)

-4

-10

Multistep Problems

1) Distribute parentheses

2) Get your x's in Texas

3) Solve for x

Some text here about the topic of discussion

GET READY!

What is the first step to solving these problems?

Some text here about the topic of discussion

Multiple Choice

5x + 1 = 4(3x - 5)

Subtract 1

Subtract 5x

Distribute the 4

Add 5

Multiple Choice

NOW SOLVE!

5x + 1 = 4(3x - 5)

6/7

-3

-1

Multiple Choice

24 = 3x - 6 + 7x

Subtract 24

Subtract 3x

Add 6

Add the x's

Multiple Choice

NOW SOLVE!

24 = 3x - 6 + 7x

-3

no solution

infinite solutions

Multiple Choice

-2(x + 1) = 5 - 2x

Divide by -2

Distribute -2

Subtract 5

Add 2x

Multiple Choice

NOW SOLVE!

-2(x + 1) = 5 - 2x

-2

no solution

infinite solutions

Multiple Choice

10 + 4x = 2(2x + 5)

Subtract 10

Subtract 4x

Distribute 2

Divide by 2

Multiple Choice

NOW SOLVE!

10 + 4x = 2(2x + 5)

no solution

infinite solutions

All the Steps!

By Jai Johnson

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