Page 19 - Math Course 1 (Book 2)

Translating Equations

Mo. 7

Lesson 3
Let’s Begin

KEY CONCEPTS:
1. Translate verbal sentences into equations. Translate Sentences into Equations
2. Translate equations into verbal sentences.
Examples

Translate this sentence into an equation.
MO. 7 - L3a

Translate Verbal Sentences A number b divided by three is equal to six less
than c.
into Equations
b divided by three is equal to six less than c.

Vocabulary A-Z b = c – 6

Let us learn some vocabulary 3
b
Answer The equation is = c – 6
3
def ning a variable

Choose a variable to represent one of the
unspecif ed (unknown) numbers in the problem. Key Concept
This is called def ning a variable.

Perimeter equals two times the length plus two
Words Four-Step Problem-Solving Plan
times the width.
Variables Let P = perimeter, l = length, and w = width. Step 1 Explore the problem
Step 2 Plan the solution
two
Perimeter equals times the plus two times Step 3 Solve the problem
Formula length the width Step 4 Check the solution
P = 2l + 2w

Translate this sentence into an equation
Fifteen more than z times six is y times two minus eleven.

more
Fifteen z times six is y times two minus eleven
than

15 + z x 6 = y x 2 – 11

Answer The equation is 15 + 6z = 2y – 11.

11