chapter 9 quiz worksheets complete the quiz a & b worksheets and use it to prepare yourself for...

Chapter 9 Quiz Worksheets

Complete the QUIZ A & B worksheets and use it to prepare yourself for tomorrow’s

Chapter 9 test.

9-8 Solving Integer Equation

Course 1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Warm UpUse mental math to find each solution.

1. 6 + x = 12 2. 3x = 15

3. = 4 4. x – 8 = 12

x = 6 x = 5

x = 20

Course 1

9-8 Solving Integer Equations

x = 20x 5__

Problem of the Day

Marie spent $15 at the fruit stand, buying peaches that cost $2 per container and strawberries that cost $3 per container. She bought the same number of containers of each fruit. How many containers each of peaches and strawberries did she buy?

3

Course 1

9-8 Solving Integer Equations

Today’s Learning Goal Assignment

Learn to solve equations containing integers.

Course 1

9-8 Solving Integer Equations

Course 1

9-8 Solving Integer Equations

A. Solve –8 + y = –13. Check your answer.

–8 + y = –13 –8 is added to y.

+ 8 + 8 Subtracting –8 from both sides to undo the addition is the same as adding +8.

y = –5

Check

–8 + y = –13 Write the equation.

Substitute –5 for y.

–5 is a solution.

–8 + (–5) = –13 ?

–13 = –13 ?

Additional Example 1A: Adding and Subtracting to Solve Equations

Course 1

9-8 Solving Integer Equations

To solve the equation on the previous slide using algebra tiles, you can add four tiles to both sides and then remove pairs of red and yellow tiles. This is because subtracting a number is the same as adding its opposite.

Helpful Hint

Course 1

9-8 Solving Integer Equations

Try This: Example 1A

A. Solve –2 + y = –7. Check your answer.

–2 + y = –7 –2 is added to y.

+ 2 + 2 Subtracting –2 from both sides to undo the addition is the same as adding +2.

y = –5

Check

–2 + y = –7 Write the equation.

Substitute –5 for y.

–5 is a solution.

–2 + (–5) = –7 ?

-7 = -7 ?

Course 1

9-8 Solving Integer Equations

Additional Example 1B: Adding and Subtracting to Solve Equations

B. n – 2 = –8.

n – 2 = –8 2 is subtracted from n.

+ 2 + 2 Add 2 to both sides to undo the subtraction.

n = –6

Check

n – 2 = –8 Write the equation.

Substitute –6 for n.

–6 is a solution.

–6 – 2 = –8 ?

–8 = –8 ?

Course 1

9-8 Solving Integer Equations

Try This: Example 1B

B. n – 6 = –14. n – 6 = –14 –14 is added to n.

+ 6 + 6 Add 6 to both sides to undo the subtraction.

n = –8

Check

n – 6 = –14 Write the equation.

Substitute –8 for n.

–8 is a solution.

–8 – 6 = –14 ?

–14= –14 ?

Course 1

9-8 Solving Integer Equations

Additional Example 2A: Multiplying and Dividing to Solve Equations

A. 4m = –20

=m is multiplied by 4. Divide both sides by 4 to undo the multiplication.

m = –5

Check

4m = –20 Write the equation.

Substitute –5 for m.

–5 is a solution.

4(–5) = –20 ?

–20 = –20 ?

4m 4 ___ -20

4 ___

Course 1

9-8 Solving Integer Equations

Try This: Example 2A

A. 3n = –15

=n is multiplied by 3. Divide both sides by 3 to undo the multiplication.

n = –5

Check

3n = –15 Write the equation.

Substitute –5 for n.

–5 is a solution.

3(–5) = –15?

–15 = –15 ?

3n 3 ___ -15

3 ___

Course 1

9-8 Solving Integer Equations

3 • = 3 • (–7) x is divided by 3. Multiply both sides by 3 to undo the division.

x = –21

Check

= –7 Write the equation.

Substitute –21 for x.

–21 is a solution.

–21 ÷ 3 = –7 ?

–7 = –7 ?

x 3 __

x 3 __

Additional Example 2B: Multiplying and Dividing to Solve Equations

B. = –7 x 3

Course 1

9-8 Solving Integer Equations

Try This: Example 2B

B. = –6

4 • = 4 • (–6) y is divided by 4. Multiply both sides by 4 to undo the division.

y = –24

Check

= –6 Write the equation.

Substitute –24 for y.

–24 is a solution.

–24 ÷ 4 = –6 ?

–6 = –6 ?

y 4 __

y 4 __

y 4 __

Lesson Quiz

Solving each equation.

1. 5 + x = –6 2. y – 9 = –7

3. –6a = 24 4. = –9

5. A submarine captain sets the following diving

course: dive 300 ft, stop, and then dive another

300 ft. If this pattern is continued, how many

dives will be necessary to reach a location 3,000

ft below sea level?

a = –4

x = –11

Insert Lesson Title Here

x = –45

10

Course 1

9-8 Solving Integer Equations

y = 2

x 5 __