Simplifing
2-Step Equations
Multi-Step
Word Problems
Number of Solutions
100

-8-(-9)=

1

100

4x - 10=18

Solve for x

x=7

100

6n + 3=3n + 4

Solve for n

n=1/3

100

Laura and Kirk are comparing how much they have been runnng laura has already run 36 miles and Kirk had run 64. Laura begins running 21 miles per week and Kirk runs 17 miles per week. How many additional weeks, w, will it take for their total distance run to be equal?

7 weeks

100

How many solutions does this have?

2x + 4=2x + 5

No solutions

200

-49/-7=

7

200

-3c + 12 = 27

Solve for c

c=-5
200

8(w + 10)=2(-2w - 2)


Solve for w

w=-7

200

A container holds the unknown number of gallons of water. Let g represent this unknown amount. Nari Pours three-fourths of this volume into an empty pot. She then adds another half-gallon of water. The pot now holds a total of two and three-eights gallons of water. Set up and solve an equation to find the value of g. Express your final answer as a mixed number with units.

G= 2 1/2 gallons
200

How many solutions does this have?

3(x + 2) = 3x + 6

Infinite 

300

-6x-7=

42

300

t/3 - 9 = -5

Solve for t

t=12

300

5(n - 2)=2n + 17 

Solve for n

n=9

300

Jackson was selling cups of lemonade. On Saturday, he sold a total of 14 cups. On Sunday, he sold cups at a steady rate of 3 cups an hour. Let h represent the number of hours that Jackson sold lemonade on Sunday. Set up and solve an equation to find out how many hours, h, it took Jackson to sell 47 cups.

H=11

300

How many solutions does this have?

2x + 3 = 7 

One
400

7 - 10 + 3 - 5 + (-3) + 11=

2

400

3/4x - 1 = 5

Solve for x

x=8

400

6(n + 3) + 2(2n - 4)=3(n+8)

Solve for n

n=2
400

Carmen moved 35% of the total amount, a, that she had in her checking account into her savings account. Before she moved her money in her savings account was $472.25 after she moved her money it contained $1259.75. Find the amount of money she had in her savings account.

$2250

400

How many solutions does this have?

4(x + 2) = 20

One

500

(-5)+ 3(-5) - 8=

2

500

k+8/3=2 

Solve for k

k=-2

500

22 - y=-2(y - 3) - y - 4

Solve for y 

y=-10
500

A man is walking down a very long flight of steps in a stairwell. He begins at 136 feet above ground level. He walks down at a steady rate such that he gets closer to the ground floor at a rate of 2.8 feet per second. How many feet above the ground is he after 10 seconds?

108 ft

500

How many solutions does this have?

4(2x - 8)= 8(x - 4)

Infinite