Convert decimals, fractions, and percents
Two-Step Equations
Two-Step Inequalities
Real World Two-Step Equations
Distribution
100

.36 to a percent

36%

100

9c + 1 = 10

c = 1

100

6x - 4.3 > 37.7

x > 7

100

Lara and Mae participated in a contest. They scored 23 points in all. If Lara scored 9 points, how many did Mae score?

x + 9 = 23, Mae scored 14

100

8 = 4(n - 16) 

n = 18

200

45% as a decimal

.45

200

8 = 3a - 4

a = 4

200

-6(5x+3) > 252

x<-9

200

Smith and his friends are gaming online. An hour later, 6 friends go offline. Five of them continue playing. How many of them were gaming online intially?

x - 6 = 5; 11 people

200

4 (f + 1) = 20

f = 4

300

 7/18 as a decimal

0.38 (8 being repeated)

300

m/5 + 9 = 11

m = 10

300

7/3x-13≤-62

x≤-21

300

A server in a restaurant earns $54.80 in tips in addition to their hourly wage of $8.30 per hour. 

Write an equation that can be used to determine the number of hours (h) the server worked to earn $100.45

8.30h + 54.80 = 100.45

300

3 (g - 12) = 9

g = 15

400

0.4 repeating as a percent

44.4% with the 4 repeating

400

n/-2+3.7=-22.5

n = 52.4

400

-13.1 > -5x + 0.25

x > 2.67

400

Scruffy pals pet boxes sends pet supplies in the mail each month. Irma prepaid a 4-month subscription for her cats. She used a one-time coupon and received $8 off the total cost. Irma paid $64 total. 


What is the regular cost per month?

4m - 8 = 64; $18 per month

400

-7 ( v- 87) = -84

v = 99

500

21.5 with the five repeating as a fraction 

21 5/9

500

4 7/8=3 1/5-k

k = 

-1 27/40

500

2/3(18-24x)>48

x < -2.25

500

Diamond is saving money to take a trip to Key West, Florida with her friends. Every week, she sets aside the same amount of her paycheck after taking out the $403 she needs for her weekly expenses. After 9 weeks, Diamond has saved $612 for her trip. 

Write an equation that can be used to represent the amount of money (x) Diamond earns per week. (Hint: its a distribution problem)

9(x-403)=612

500

-5 (w + 8) = 170

w = -42

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