Warm Up

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Warm Up
Problem of the Day
Lesson Presentation
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Warm Up Use mental math to find each
solution. 1. 6 x 12 2. 3x 15 3.
4 4. x 8 12
x 5
x 6
x 20
x 20
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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?
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Learn to solve equations containing integers.
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Additional Example 1A Adding and Subtracting to
Solve Equations
Solve 8 y 13. Check your answer.
8 is added to y.
8 y 13
8 8
Subtracting 8 from both sides to undo the
addition.
y 5
Check
8 y 13
Write the equation.
Substitute 5 for y.
5 is a solution.
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Additional Example 1B Adding and Subtracting to
Solve Equations Solve n 2 8. Check your
answer.
2 is subtracted from n.
n 2 8
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.
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Check It Out Example 1A Solve 2 y 7.
Check your answer.
2 is added to y.
2 y 7
Subtracting 2 from both sides to undo the
addition is the same as adding 2.
2 2
y 5
Check
2 y 7
Write the equation.
Substitute 5 for y.
5 is a solution.
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Check It Out Example 1B Solve n 6 14. Check
your answer.
6 is subtracted from n.
n 6 14
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.
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Additional Example 2A Multiplying and Dividing
to Solve Equations Solve 4m 20. Check your
answer.
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.
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Additional Example 2B Multiplying and Dividing
to Solve Equations Solve 7. Check your
answer.
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.
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Check It Out Example 2A Solve 3n 15. Check
your answer.
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.
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Check It Out Example 2B Solve 6. Check
your answer.
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.
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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 45
a 4
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