Holt CA Course 1

1-11 Solving Equations by Multiplying

AF1.1 Write and solve one-step linear equations in one variable.

California Standards

Holt CA Course 1

1-11 Solving Equations by Multiplying

VOCABULARY CARDS

Holt CA Course 1

1-11 Solving Equations by Multiplying

x = 35Multiply both sides by 7 to undo the division.

Substitute 35 for x in the equation.

Solve the equation. Check your answer.

35 is the solution.5 = 5?

Teacher Example 1: Solving Equations by Multiplying

x7 = 5

x is divided by 7. x7 = 5

7 x7 = 7 5

Check x7 = 5

357 = 5?

Holt CA Course 1

1-11 Solving Equations by Multiplying

x = 18Multiply both sides by 2 to undo the division.

Substitute 18 for x in the equation.

Solve the equation. Check your answer.

18 is the solution.9 = 9?

Student Practice 1:

x2 = 9

x is divided by 2. x2 = 9

2 x2 = 2 9

Check x2 = 9

182 = 9?

Holt CA Course 1

1-11 Solving Equations by Multiplying

78 = pMultiply both sides by 6 to undo the division.

Substitute 78 for p in the equation.

Solve the equation. Check your answer.

78 is the solution.13 = 13?

Teacher Example 2:

p613 =

6 p66 13 =

p is divided by 6. p613 =

Check p613 =

? 78613 =

Holt CA Course 1

1-11 Solving Equations by Multiplying

288 = pMultiply both sides by 4 to undo the division.

Substitute 288 for p in the equation.

Solve the equation. Check your answer.

288 is the solution.72 = 72?

Student Practice 2:

p472 =

4 p44 72 =

p is divided by 4. p472 =

Check p472 =

? 288472 =

Holt CA Course 1

1-11 Solving Equations by Multiplying

At Elk Meadows Park an aspen tree is one-third the height of a pine tree.

Teacher Example 3: Application

height of aspen = height of pine3

The aspen tree is 14 feet tall. How tall is the pine tree?Let h represent the height of the pine tree.

42 = h

Multiply both sides by 3 to undo the division.

3 h33 14 =

Substitute 14 for height of aspen. h is divided by 3.

h314 =

The pine tree is 42 feet tall.

Holt CA Course 1

1-11 Solving Equations by MultiplyingStudent Practice 3:

Let w represent her father’s weight.

190 = w

Multiply both sides by 2 to undo the division.

2 w2 2 95 =

Substitute 95 for Jamie’s weight. w is divided by 2.

w295 =

Jamie’s father weighs 190 pounds.

Jamie weighs one-half as much as her father.Jamie’s weight = father’s weight

2Jamie weighs 95 pounds. How many pounds does her father weigh?

Holt CA Course 1

1-11 Solving Equations by Multiplying

1.1.11 Warm-Up