Vocabulary
Equations with Rational Coefficients
Word Problems
100

What is a rational number? 

A number that can be written as a fraction a/b where a and b are integers and b does not equal zero.

100

3x-4=11

x=5

100

You buy snacks for the game. You spend $6 on drinks and $2.50 per slice of pizza.
Your total was $16.

Write and solve an equation

2.5x+6=16⇒x=4

200

What is a coefficient? 

The number multiplied by a variable (ex: 7x, 7 is the coefficient) 

200

1/2x+7=19

x=24

200

A gym charges a $10 signup fee plus $4.25 per workout session.
Your total bill was $42.

10+4.25x=42⇒x=7.5


300

What are like terms

Terms that have the same variable and exponent. 
300

3/4(x-8)=6

x=16

300

You earn 2/3 of your babysitting money after paying a $5 supply fee. If you took home $25, what are your total earnings?

x=45

400

What is the distributive property?

a(b+c)= ab+ac

400

5x-3-2x=18

x=7

400

A gym charges a $50 membership fee plus $12 per class. You paid a total of $218 one month.
Write and solve an equation to find how many classes you took.

14 classes