Simplify
Solve
Word Problems
100

Simplify

12x - 8x + 9

4x + 9

100

Solve for x

-3(4x + 6) = -18

x = 0

100

Which of the following represents infinite solutions

A) 2x + 5 = 13

B) 45 = 45

C) 17 = 20

D) x = -4

B

200

Simplify

4(3x + 6)

12x + 24

200

Solve for x

5x − 7 = −6(9 + 7x) 

x = -1

200

Mr.Scarpaci solved this problem incorrectly. Describe the error he made AND solve it correctly.

3(2 - 3x) + 5x = 34

6 + 9x + 5x = 34

6 + 14x = 34

14x = 28

x = 2

When Mr.Scarpaci multiplied 3 and -3x he got + 9x instead of - 9x.

x = -7

300

Simplify

-10y + 2x + 7y - 5x

-3y - 3x

300

Solve for x

2(3x − 4) − 8 = 5 + 3x

x = 7

300

Rylee has $750 in her bank account and plans to take $10 out each week. Gunnar has $540 in his account and plans to add $20 each week.


After how many weeks will Ramona and Xavier have the same amount in their accounts?

7 weeks

400

Simplify

-5(x - 9)

-5x + 45

400

Solve for x

-2(4x - 12)= -8(x - 3)

24 = 24

Infinite Solutions

400

Tristyn stated that there is no solution to the equation:


8 + 4x = −2(−9x − 4) + 6x


Do you agree or disagree?  Explain your reasoning.

I disagree with Tristyn because when I solved the equation I got x = 0. 0 is a solution therefore there is only 1 solution.

500

Simplify

-2(3x - 5) - 8 + 6x - 3

-1 or 0x - 1

500

Solve for x

15x − 35 = −3(2 − 5x)

-35 = -6

No Solution

500

Jonah has two job offers at a gym. One has a base monthly salary of $2530 and an additional $20 commission per new client he gets to join the gym. The other offer does not have a base salary but he gets $250 for every new client who joins the gym. 


How many clients would Jonah need to get to join the gym each month to make the second offer better than the first?

Jonah would need 12 clients to join each month to make the second offer better than the first.


(11 clients for it to be equal)

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