Distributive Property/Combining Like Terms

Terms, Coefficients, Constants

100

7x - 3 - 8x

7x, -3, -8x; 

7 & -8; 

-3

200

8x + 9x + 3y - 5y

8x, 9x, 3y, -5y; 

8, 9, 3, -5; 

None

300

-10 - 4a + 5b + 3a

-10, -4a,5b, 3a; 

-4, 5, 3; 

-10

400

7x - 3y - 16x + 4y - 2xy

7x,-16x, -3y, 4y, -2xy; 

7, -3, -16, 4, -2; 

None

500

4x - 18x + 81 - 17

4x, -18x, 81, -17; 

4 & -18; 

81 & -17

Distributive Property

100

5(x - 12)

What is 5x - 60

200

-7(m + 11)

What is -7m - 77

300

12(-t - 4)

What is -12t - 48

400

-13(3m - 7n)

What is -39m + 91n

500

-14(-8y - 11z)

What is 112y + 154z

Combining Like Terms (Addition)

100

8a + 15a + a + 9

What is 24a + 9

200

5x + 30 + 3x +5

What is 8x + 35

300

12t + 8(2t + 4)

What is 28t + 32

400

6p + 8(4 + 2p) + 2

What is 22p + 34

500

m + 5(4n + 5m) + 6n

What is 26m + 26n

Combining Like Terms (Subtraction)

100

21b - 11b - 10 - 12b

What is -2b - 10

200

12c - 6(c - 5)

What is 6c + 30

300

5(z - 11) - 26

What is 5z - 81

400

-7d - 8(-5 - d)

What is d + 40

500

-15j - 9(2k - 6j) - 18k

What is 39j - 36k

Combining Like Terms (Mixed)

100

-10x + 4 + 15x - 21

5x - 17

200

9y - 20 + 18 - 6y

3y - 2

300

3(x + 4) + 2x - 5

5x + 7

400

-3x + 4(2x - 3) + 8

5x - 4

500

4x - 7 - 2x - 2(3x + 5)

-4x - 17

Simplify

100

6x - (2x - 5) + 3

4x + 8

200

3(2x - y + 4) - x + 2y

5x - y + 12

300

1/2(8f-6)+3f+5

7f + 2

400

4(2m + 3) - 8m - 5

7

500

3(x + 4) - 2(x - 5)

x + 22

Like terms using Exponents

100

3x2 + 4x - 2x2 + 5 - x

x² + 3x + 5

200

5x² + 3x - 2x² + 4x

3x² + 7x

300

7y² - 4y + 6 - 3y² + 2y

4y² - 2y + 6

400

3a³ + 5a² - 2a³ + a² -4

a³ + 6a² - 4

500

6m² - 3m + 8 - 6m² + 5m

2m + 8