Literal Equations
One Solution, No Solution, IMS
Complex Equations
Word Problems
100

Solve for j:

3-m=9-j

j=6+m or j=m+6

100

Solve for x:

16+4x=4(x+3)+4

Infinitely Many Solutions

100

Solve for k:

−12 = 3 − 2k − 3k

k=3

100

On the first 3 math test, Joseph scored 80, 72, and 78. What must he score on the 4th math test in order to have an 80 test average?

90

200

Solve for x:

y = 5x - 6

x=(y+6)/5

200

4(x-3)+8=2x

One solution: x=2

200

Solve for x:

24 = 6(−x − 3)

x=-7

200

Natalie pays $1.09 each to download songs on her phone plus the $5 subscription fee for the music service. If "s" is the number of songs she downloads, write an equation that represents her total cost (c) in dollars.

Do not solve.

c=1.09s+5

300

Solve for x:

(x+y)/3=5

x = 15 – y

300

Solve for n:

−6n − 20 = −2n + 4(1 − 3n)

One Solution: n=3

300

Solve for k:

−4k + 2(5k − 6) = −3k − 39

k=-3

300

Jayla is saving to buy a game that costs $75 for her brother. This is $15 more than 3 times what she saved last month. How much did she save last month?

$20

400

Solve for y: 

12x – 4y = 20

y = 3x – 5

400

4(−8x + 5) = −32x − 26

No solution

400

Solve for v:

6(6v + 6) − 5 = 1 + 6v

v=-1

400

Marcy paid a flat fee of $20 per month for her gym membership. She also pays $60 per hour with her trainer at the gym. Last month, she spent $500 total at the gym. How many hours did she spend with per personal trainer?

Write and equation AND solve! Both must be correct.

20+60h=500

h=8