Chapter 9 Quiz Worksheets Complete the QUIZ A & B worksheets and use it to prepare yourself for tomorrow’s Chapter 9 test.

Solving Integer Equation 9-8 Solving Integer Equation Course 1 Warm Up Problem of the Day Lesson Presentation

Solving Integer Equations Course 1 9-8 Solving Integer Equations Warm Up Use mental math to find each solution. 1. 6 + x = 12 2. 3x = 15 3. = 4 4. x – 8 = 12 x = 6 x = 5 x 5 __ x = 20 x = 20

Solving Integer Equations Course 1 9-8 Solving Integer Equations 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

Today’s Learning Goal Assignment Course 1 9-8 Solving Integer Equations Today’s Learning Goal Assignment Learn to solve equations containing integers.

A. Solve –8 + y = –13. Check your answer. Course 1 9-8 Solving Integer Equations Additional Example 1A: Adding and Subtracting to Solve 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. –8 + (–5) = –13 ? Substitute –5 for y. –13 = –13 ? –5 is a solution. 

Solving Integer 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

Solving Integer Equations 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. –2 + (–5) = –7 ? Substitute –5 for y. -7 = -7 ? –5 is a solution. 

Additional Example 1B: Adding and Subtracting to Solve Equations 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. –6 – 2 = –8 ? Substitute –6 for n. –8 = –8 ? –6 is a solution. 

Solving Integer Equations 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. –8 – 6 = –14 ? Substitute –8 for n. –14= –14 ? –8 is a solution. 

Additional Example 2A: Multiplying and Dividing to Solve Equations Course 1 9-8 Solving Integer Equations Additional Example 2A: Multiplying and Dividing to Solve Equations A. 4m = –20 4m 4 ___ -20 4 ___ m is multiplied by 4. Divide both sides by 4 to undo the multiplication. = m = –5 Check 4m = –20 Write the equation. 4(–5) = –20 ? Substitute –5 for m. –20 = –20 ? –5 is a solution. 

Solving Integer Equations 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. 3n 3 ___ -15 3 ___ = n = –5 Check 3n = –15 Write the equation. 3(–5) = –15 ? Substitute –5 for n. –15 = –15 ? –5 is a solution. 

Additional Example 2B: Multiplying and Dividing to Solve Equations Course 1 9-8 Solving Integer Equations Additional Example 2B: Multiplying and Dividing to Solve Equations B. = –7 x 3 x 3 __ 3 • = 3 • (–7) x is divided by 3. Multiply both sides by 3 to undo the division. x = –21 Check x 3 __ = –7 Write the equation. –21 ÷ 3 = –7 ? Substitute –21 for x. –7 = –7 ? –21 is a solution. 

Solving Integer Equations Course 1 9-8 Solving Integer Equations Try This: Example 2B B. = –6 y 4 __ y 4 __ 4 • = 4 • (–6) y is divided by 4. Multiply both sides by 4 to undo the division. y = –24 Check y 4 __ = –6 Write the equation. –24 ÷ 4 = –6 ? Substitute –24 for y. –6 = –6 ? –24 is a solution. 

Solving Integer Equations Insert Lesson Title Here Course 1 9-8 Solving Integer Equations Insert Lesson Title Here 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? x = –11 y = 2 x 5 __ a = –4 x = –45 10