Solving Equations 10-10-24

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = 4.5

x= 0.9

500

0.16 = 2x

x= 0.08

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

x/2 -3=-8

x= -10

400

x/2-50=10

x= 120

500

x/3+16=-3

x= -57

Distributive Property Equations

100

Solving Equations

-(-x + 2) = 6

x = 8

200

Solving Equations

-5(p + 4) = 6

p = -5.2

300

Solving Equations

2(n+5) = 4

n = -3

400

Solving Equations

5(m-3) = 4

m = 19/5

500

Solving Equations

3(𝑥 − 9) = −3

x = 8

Multi-Step Equations

100

Solving Equations

3x + 4x = 7

x = 1

200

Solving Equations

4 + 5x = 29

x = 5

300

Solving Equations

-45 = 7x + 4 

x = -7

400

Solving Equations

14 = (3a + 8)

a=2

500

Solving Equations

-21 = 7(5k - 8)

k = 1

Choice

100

Write an equation for "the difference between n and 5 is 18."

n-5=18

200

15+b=23

b=8

300

Write an equation for "The sum of z and 7 is equal to one half of z." 

BONUS (+300): solve for z

z+7 = z/2

2z + 14 = z 

BONUS (+300) ANSWER: z=-14

400

5/3 = 2x + 1 

**Reduce your answer if it is a fraction**

x = 1/3

500

Javien sells raffle tickets for his rec league basketball team. Each ticket is $6. He has to pay $6 to participate in the raffle. How many tickets does he need to sell to make $114. 

6x - $6 = $114

6x = $120

x=20; he needs to sell 20 tickets.