Combining Like Terms and Multi Step Equations

Combining Like Terms Expressions

100

3x + 5x

8x

200

-7y - 2y

-9y 

300

6a + 3 - 2a + 5

4a + 8

400

9d - 4 + 2p - 7 x 3d + 10p / -2p 

-12d + 2p - 9

500

5a − 3b + 7b + 4a − 7+ 2b - 2 + 2a - z

11a + 6b - z - 9

Combining Like Terms (Same Side of Equation)

100

3x - 5x = 10

x = -5

200

7y − 2y − 5 = 10

y=3

300

6a − 3 + 2a − 5 = 8

a=2

400

9x − 4 − 2x − 6 = 10

x=20/7 or 2 6/7

500

 5m − 3 − 2m − 7 − m − 3m = −10

m=5

Combining Like Terms (Different Sides of Equation)

100

3x + 2 = x + 10

x=4

200

5y − 3 = 2y + 12

y=5

300

−4a − 2 = a + 13

a=−3

400

9x − 5 + 2x = 3x + 19

x=3

500

−7m − 3 − 2m + 4 = 3m + 2m + 9

m=−1

Combining Like Terms (Different Sides of Equation) (Advanced)

100

12x − 8 + 6x = 10x + 4 + 4x

x=6

200

15y − 10 − 5y + 8 = 12y + 20

y=−11

300

−14a + 6 + 4a − 12 = 3a − 9 + 2a

a=−3

400

20x − 15 − 6x + 9 − 4x = 5x +18 − 3x + 7

x=−31

500

−18m + 10 + 7m − 5 + 3m = 4m − 6 + 2m + 8m

m=−5

Misc. Review

100

A student scored 18 points out of 24 on a quiz. What percentage did the student score?

 

75%

200

The ratio of red marbles to blue marbles is 2:3. There are 25 marbles total.
How many red marbles are there?

10 red marbles

300

A jacket originally costs $80. It is on sale for 25% off, and then a 6% sales tax is added to the discounted price.
What is the final price of the jacket?

$63.60

400

A gym charges a $10 sign-up fee plus $15 per month. One month, the total cost was $85. How many months did the person pay for?

5 months

500

 (16 ÷ 4² + 3 × (8 − 6 ÷ 2) )² − (-5)²

11