Page 20 - Math Course 1 (Book 2)

Translating Equations

Use the Four-Step Plan
Your Turn!

Example Translate Sentences into Equations

Translate this sentence into an equation. A number
c multiplied by six is equal to two more than d.
JELLY BEANS
A jelly bean manufacturer A. 6c = d + 2
produces 1,250,000 jelly B. 2c = d + 6
beans per hour. How many C. c = d + 2
hours does it take them to D. c = 6(d + 2)
produce 10,000,000 jelly
beans?
Answer
Explore You know that 1,250,000 jelly beans
are produced each hour. You want to
know how many hours it will take to
produce 10,000,000 jelly beans.
Plan Write an equation to represent the Translate this sentence into an equation. Three
situation. Let h represent the less than a number a divided by four is seven more
number of hours needed to produce than 3 times b.
the jelly beans. a – 3
A. = 3b + 7
1,250,000 times hours equals 10,000,000.
4
1,2500,000 × h = 10,000,000
B. 4a – 3 = 3b + 7
Solve 1,250,000h = 10,000,000
Find h mentally by asking, C.
“What number times 125 equals a –3 = 3b + 7
1000?” h = 8 4

It will take 8 hours to produce D.
Answer a
10,000,000 jellybeans. –3 = 3b – 7
4
Check If 1,250,000 jelly beans are produced
in one hour, then 1,250,000 x 8 or Answer
10,000,000 jelly beans are produced
in 8 hours. The answer makes sense.

Use the Four-Step Plan

A person at the KeyTronic World Invitational Type-Off typed 148 words per minute. How many minutes would
it take to type 3552 words?

A. 148 minutes

B. 30 minutes

C. 3552 minutes

D. 24 minutes

Answer

12