Page 32 - Math Course 2 (Book 1)

More Two-Step Equations

Mo. 1

Lesson 7 Translate this sentence into an equation.

When f ve is added to the product of a number and 8,
KEY CONCEPTS:
1. Write verbal sentences and solve two-step 5 + 8n
equations. the result is 12.
2. Solve verbal problems by writing and
solving two-step equations.
= 12

Answer The equation is 5 + 8n = 12.
MO. 1 - L7a
Two-Step Equations:

Write Verbal Sentences Translate and Solve an Equation

Examples

Let’s Begin Nine more than four times a number is 41. Find
the number.

9 + 4n = 41 Write the equation.

9 – 9 + 4n = 41 – 9 Subtract 9 from each side.
Translate Sentences into
Equations 4n = 32 Simplify.

Examples n = 8 Mentally divide each side by 4.

Answer Therefore, the number is 8.
Translate this sentence into an equation.

Twice a number, increased by 5, equals –25.
Your Turn!
2n + 5 = –25
Translate Sentences into Equations

Answer The equation is 2n + 5 = –25. Translate the following sentence into an equation.

Five times a number decreased by 9 equals –6.

Translate this sentence into an equation. A. 5(n – 9) = –6
B. 5n – 9 = –6
Four times a number, minus 8, equals 28. C. 5n + 9 = –6
D. n(5 – 9) = –6

4n – 8 = 28
Answer
Answer The equation is 4n – 8 = 28.

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