Word Problems
Translating Algebraic Equations
Two-Step Equations
Multi-Step Equations
Solving Algebraic Expression
100

write the algebraic equation that represents:

a table weighs 13 more pounds than the chair. Write an equation that represents the weight of the chair if the table weighs 42 pounds

13 + c = 42

100

Eighteen is a number subtracted by two

What is 18=n-2

100

Solve: 2x+4=16

What is x= 6

100

Solve: 2x+2=1x+4

What is x=2

100

Given x=2 

Solve: 2x+3

What is 7

200

Jacob has a jar with 20 pieces of candy. He spilled some candy and then shared the rest with 5 friends. Each friend got 3 pieces of candy. Write the algebraic equation that shows how much candy he spilled and solve. 

(15 - c)/5 = 3

He spilled 5 pieces of candy


200

The sum of 4 and twice a number is 16

2n+4=16

200

Solve: -3x-15=45

What is x=-20

200

Solve: -3x+14=2x+39

What is x=-5

200

Given x=-8 and y=3

|x-6|+2-y

What is 13

300

Leela has some money in her checking account. She spent $23 and deposited $15. Her ending balance was $89. Write the equation that represents how much money she started with in her account and solve. 

a - 23 + 15 = 89


a = $97 starting balance in checking account

300

one-half the difference of x and y is negative 15

What is 

1/2(x-y)=-15

300

Solve: -(2x+4)=46

What is x= -25

300

Solve: x+4+2(2x-12)= 140

What is x=32

300

Given x=2 y=-4 z=1

Solve:  

x-y/4+8-z

What is 10

400

A rectangle has a length of (x+2) and a width of (2x -1). The perimeter of the rectangle is 20. What is the value of x?

x=3

400

Multiply three by the sum of 4 and a number is 32

What is 3(n+4)=32

400

Solve: -4x-12=-32

What is x= 5

400

Solve: -4(-2x-4)+3(x+3)= 262

What is x=237/11

400

Given x=16 y=-2 z=5

Solve:

sqrt(x) +y/2-z

What is -2

500

Cole's company charges $50 initial fee and $20 per hour. Louis' company charges $60 initial fee and $18 per hour. Write and solve the algebraic equation that represents after how many hours their costs will be the same. 

50 + 20h = 60 + 18h

h = 5 hours

500

Five divided into a number is 23

What is 

n/5=23

500

Solve:  1/2x+41.7=-32.3 

What is x=- 148

500

Solve: -2x-14+2(4x-2)=4x+13

What is x= 31/2 or 15.5 

500

Given x=-2 y=16 Solve: 

y^2+x-50

What is 204