Solving Equations with Distributing and Combining Like Terms

Solving Equations with Combining Like Terms

100

3x + 8x - 7 = 81

x = 8

200

5x + 7 - 12x = 14

x = -1

300

3x + 2x + 7 - 2 = 15

x = 2

400

29 = 4x + 1 - x + 10

x = 6

500

x + 2x - 1 + x + 3 = 30

x = 7

Challenge (Variables on Both Sides)

100

Solve for the variable:

5x = 3x + 20

x = 10

200

Solve for the variable:

6m - 7 = 2m + 25

m = 8

300

Solve for the variable:

10k + 30 = -2k + 54

k = 2

400

Solve for the variable:

-6a + 5 = 3a - 22

a = 3

500

Solve for the variable:

-p + 31 = 5p + 1

p = 5

Solving Equations with CLT and Fractions & Decimals

100

7 = (a/3) - (92/30)

x = 30.2 or x = 151/5

200

0.9x + 2.9 - 0.5x = 1.5

x = -3.5

300

(2/3)x + 4 - (7/8)x = 1/4

x = 18

400

(k/3.5) + 9.4 - 2 = 8

k = 2.1

500

(1/3) - (2/9)m - m =15

m = -12

Solving Equations with Distributive Props./Fractions/Decimals

100

1/2(52 - 36x) = 22

x = 2/9 

200

5 = 2/3(7x - 21) + 5

x = 3

300

(1/2)[x - (6/5)] + (2/3)x = (1/6)

x = 23/35

400

(3/4)(2x + 1/3) + 2 = 7

x = 19/6 or x = 3 1/6

500

2/3 - 3[(1/2)y - (2/9)] + (1/3)y + 4 = 2/3

y = 4

Solving Equations with CLT and Distributive Prop.

100

3(a + 2) + 8 = 21

a = 7/3 or a = 2 1/3

200

2(32x - 7) + 24.5 = -17.5

x = -7/16

300

0.5(14 - 72x) + 22 = 17

x = 1/3

400

7(2x - 14) - 3(x - 4) = 35

x = 11

500

2(3x - 11 +7x) + 0.5(2x - 6) = 38

x = 3