Solving Equations

Solving Equations

Introduction & Review

Multiple Choice

An equation says two things are equal. It has a..

• plus +

• minus -

• equal sign =

• division /

Multiple Choice

What equation matches this situation?

Robyn had some video games then bought 4 more. Now she has a total of 10 games.

• v - 4 = 10

• v + 4 = 10

• 10 - 4 = v

• Answer not Given

Multiple Choice

Which set of algebra tiles represents the equation x+2=10?

Multiple Choice

Which equation does this set of algebra tiles represent?

• x+8=14

• x+9=14

• x+9=22

• x+8=22

Multiple Choice

Which model represents this equation?

Multiple Choice

What is the INVERSE of addition (+) ?

• Addition +

• Subtraction -

• Multiplication x

• Division /

Multiple Choice

What is the INVERSE of multiplication (x) ?

• Addition +

• Subtraction -

• Multiplication x

• Division /

Guided Notes

One-step Equations

Your turn

Multiple Choice

To solve I _____________ on both sides

• Add 7

• Subtract 7

• Multiply by 7

• Divide by 7

Multiple Choice

To solve I _____________ on both sides

• Add 3

• Subtract 3

• Multiply by 3

• Divide by 3

Multiple Choice

To solve I _____________ on both sides

• Add 5

• Subtract 5

• Multiply by 5

• Divide by 5

Multiple Choice

To solve I _____________ on both sides

• Add 2

• Subtract 2

• Multiply by 2

• Divide by 2

Multiple Choice

Solve the equation:

4p = 16

• p = 12

• p = -12

• p = -4

• p = 4

Multiple Choice

17 = x + 3

• x = 20

• x = 14

• x = 13

• x = 19

Multiple Choice

144=12z

• z=20

• z=11

• z=12

Multiple Choice

Solve for the missing variable:

• m = 5

• m = 1/5

• m = 25

• m = 55

Multiple Choice

m - 5 = -10

• -15

• 15

• -5

• 5

Multiple Choice

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3

Guided Notes

Two-Step Equations

Multiple Choice

What is the first step to solve this equation:

- 3x -11 = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Multiple Choice

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

• subtract 10, divide by 7

• divide by 7, subtract 10

• multiply by 7, add 10

• add 10, multiply by 7

Multiple Choice

The steps in solving 5b - 6 = 24 are:

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Multiple Choice

4a + 3 = 15

• 2
• 4
• 1
• 3

Multiple Choice

Solve for x:

2x - 3 = 1

• x = 3

• x = 2

• x = 1

• x = -2

Multiple Choice

5 = 7s - 9

• 2
• 6
• 7
• 8

Multiple Choice

Solve for a:

-3a + 8 = 14

• a = -2

• a = -7.5

• a = 2

• a = 6

Multiple Choice

-4x + 1 = 21

• x=120
• x=5
• x=30
• x=-5

Solving Equations

Isolate the variable using inverse operations

(Reverse PEMDAS)

Poll

How do you feel about solving equations?

• Great!

• Good

• Good but I still make a mistake every once in a while

• Okay

• Unsure