Summer Boost Bluff

Integer Equation Word Problems

100

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

6x+7=331 x=54 students

200

Aaliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

24-7p=10 p=$2

300

You bought a magazine for $5 and four erasers. You spend a total of $25. How much did each eraser cost?

5+4e=24 e=$4.75

400

Maria had some boxes. Then, she bought seven more boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. How many did she start with?

(b+7)/2=22 b=37 boxes

500

Jill sold half of her comic books and then bought sixteen more. She now has 36. How many did she have to begin with?

(x/2)+16=36 x=40 comic books

Solving one to two step equations

100

3x +5 = 20

x = 5 

200

one third of an unknown number is 7

21

300

2+ 3x = 8

2

400

4x=9

2.25

500

18 less than double a number is 16. What is the number? 

17

Percentages Word Problems

100

What is 5% as a decimal? 

0.05

200

9% of an unknown number is 324. What is the unknown number 

3600

300

During restaurant week, a dinner including an 8% tip costs $45.36. What was the original cost of the dinner? 

$42

400

A credit card charges 27% interest on a purchase. If a $130 bike is purchased on the credit card, what is the total cost of the bike? 

$165.10

500

You  deposit 4,325 into a  a savings account that earns 1.2% interest annually. How long will it take you  to have a balance of $4584.50? 

5 years 

Solving equations with variables on both sides

100

3x+ 5 = 2x -7

x = -12 

200

3(x-7)=2x

x = 21 

300

-2(x+1) = x-4+3x

x = 1/3 

400

13 +x = 7(5-x)

x = 11/4 or 2.75

500

2(x-3) = 12x - 6

x = 0 

Types of Solutions

100

How many solutions to the equation? 

5x + 12 = 3(x + 4)

One solution x = 0 

200

Three more than double a number is equal to two more than triple a number. 

one solution x = 1 

300

5 + x = x + 5 

All real numbers, infinite solution 

400

3(2-x) = 6-3x 

infinite solutions 

500

Double an unknown number is equal to 5 more than twice the sum of the unknown number and  four. 

no solution