Page 50 - Math Course 1 (Book 2)

Multi-Step Linear Equations

1
p–10 = 125 Original equation Your Turn!
2
Solve Using Addition and Division
1
p–10 + 10 = 125 + 10 Add 10 to each side. Solve 4a – 42 = 14.
2

1 A. –14
p = 135 Simplify. B. 14
2 C. –7
D. 7
1
2( p) = 2(135) Multiply each side by 2.
2
Answer
p = 270 Simplify.

The original price of the coat
Answer
was $270.
Solve Using Multiplication and Addition
a – 9
Solve = 6
Solve a Consecutive Integer Problem 2

Example A. 3
B. 21
C. 12
NUMBER THEORY D. –6

Write an equation for the problem below. Answer
Then solve the equation and answer the problem.
Find three consecutive odd integers whose sum is 57.

Let n = the least odd integer.
Let n + 2 = the next greater odd integer. Write and Solve a Multi-Step Equation
Let n + 4 = the greatest of the three odd integers.
The sum of three consecutive odd integers is 57. Three-fourths of seven subtracted from a number is
negative f fteen. What is the number?

n + (n + 2) + (n + 4) = 57
A. –13
n + (n + 2) + (n + 4) = 57 Original equation B. –15

3n + 6 = 57 Simplify. 3
C.
3n + 6 – 6 = 57 – 6 Subtract 6 from each side. 4
3n = 51 Simplify. D. 7
3n 51 Answer
= Divide each side by 3.
3 3
n = 17 Simplify.
n + 2 = 17 + 2 or 19
n + 4 = 17 + 4 or 21

The consecutive odd
Answer
integers are 17, 19, and 21.

42