Review

Model

100

10 = z+6

z = 4

200

v/5 = 9

v = 45

300

r/3 = 7

r = 21

400

24 = 4c

c = 6

500

18 = a/2

a = 36

One-step Integers

100

3 = n-4

n=7

200

p - 3 = 15

p = 18

300

-s/11 = 3

s = -33

400

7 = k/9

k = 63

500

-c/4 = 9

c = - 36

Two Step Equations

100

9c + 1 = 10

c = 1

200

1 + 2r = 35

r = 17

300

m/5 + 9 =11

m = 10

400

w/6 - 7 = 0

w = 42

500

9 = (8c+15)/c

c = 15

Translate Phrases

100

subtract 5 from c

c - 5

200

t divided by 8

t/8

300

one quarter added to n

n + 1/4

400

The sum of eight and a product of 6 and y, multiplied by three fifths

(8+6y) x (3/5)

500

the total of seven-quarters of c and one sixths

7/4c + 1/6

Word Problems

100

Sarah bought a book and a magazine. The book cost $10, and the total cost was $18. How much did the magazine cost?  

• Equation: 10+x=18
• Solution: x=8
• Answer: The magazine costs $8.

200

Jake earns $12 per hour at his part-time job. He worked for a certain number of hours and earned $84. How many hours did he work?

• Equation: 12x=84
• Solution: x=7
• Answer: Jake worked for 7 hours

300

Emma has saved $20, and she earns $5 each time she walks her neighbor's dog. If she wants to save a total of $50, how many times does she need to walk the dog?

• 20+5x=50
• Subtract 20 from both sides:5x= 30
• x = 6
• Emma needs to walk the dog 6 times.

400

Alex buys some pens that cost $2.50 each. He also pays a flat fee of $3 for shipping. If he spends a total of $18.50, how many pens did he buy?

2.50x+3=18.50 

Subtract 3 from both sides: 2.50x=15.50

Divide by 2.50: {15.50}/{2.50} = 6.2 

Alex bought 6 pens

500

Maya is saving up for a video game that costs $70. She has saved half of her money and has another $10 saved up from gifts. If she has $25 total so far, how much did she originally have in her savings?

Equation: (1/2)x + 10 = 25

* minus 10 from each side

* (1/2)x = 15

* multiply each side by 2 

* x = 30