Solving Equations

1-Step Equations

100

-3x = 45

x = -15

200

f - 8 = -5

f = 3

300

-3 + q = 4

q = 7

400

x/4 = 2

x = 8

500

x + (-4) = 28

x = 32

2-Step Equations

100

2x + 10 = 14

x = 2

200

5(d - 2) = 40

d = 10

300

4 + x/2 = -3

x = -14

400

(-3 + x)/5 = 6

x = 33

500

14 - x/2 = -8

x = 44

Multi-Step Equations

100

5p - 6 = -8 + 6p

p = 2

200

38 + 8n = 4n + 6(n + 5)

n = 4

300

59 = 7(7p + 5) - 4(-p - 6) 

p = 0

400

6(4 + 8m) - 5(8 + 7m) = 6m + 2 + 5m - 6

m = 6

500

-8 - 5(v + 5) = 5(1 - v) - 3

No Solution

Word Problems

100

WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.

200

Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?

n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99

300

Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?

a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.

400

Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?

r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87

500

One bag of corn seed is 5 pounds and covers 4/5 of an acre. How many bags of seed would it take to cover a 21 acre field?

27 bags of corn seed.

Previous Chapters

100

Name the sets that the number belongs in: -15/3

Z, Q, R

200

What property is being shown: If 3=x then x=3

Symmetric

300

Simplify: 4/5 + 3/4

Must be an improper fraction if possible.

31/20

400

Simplify: -5 - ((-5)² - 4(4 - - 4))

2

500

Simplify: 3x(2x - 5) - 2x(4 - 4x)

14x² - 23x