Distance Learning Review

Ratios

100

There were three cats and five dogs. What is the ratio of dogs to cats? 

5 to 3 or 5:3

200

If I earned $12 an hour for babysitting. How much would I earn if I worked for 15 hours? 

$180

300

If I earned $234 for nine hours of work, how long would it take me to earn $392? 

16 hours 

You have to round up hours, otherwise you won't have enough money. 

400

For my trip, I packed 7 blue shirts and 6 yellow shirts and 2 red shirts. What percent of the shirts are yellow? 

40%

6/15 = .4 * 100 = 40%

500

I like to keep a ratio of 8:6:10 yellow to orange to blue flowers in my garden for butterflies. What percent are orange flowers?

25%

Portions

100

write .6 as a percent and a fraction 

6/10 

60%

200

write 7/100 as a decimal and a percent 

.07 

7%

300

What is 8% of 300?

24

400

My gas tank holds 22 gallons of gas. If it is 25% full, how many gallons of gas do I have left? 

5.5 gallons

500

At summer camp there were 1200 kids. 

60% of them asked to have ham sandwiches. How many sandwiches need to be made?

720

Integers

100

NO CALCULATORS

6-7 = ? 

-1

200

NO CALCULATORS 

14 + 3 - 7 + 6 = 

16

300

NO CALCULATORS 

-10 - 20 + 40 - 15

-5

400

NO CALCULATORS 

6 - 12 - 3 + 3 = 

-6

500

No Calculators 

-16 - 30 - 22 + 6² - 4²

 

12

Algebra

100

Substituting for the variable: 

What does X - 4 equal when X = 10

6

200

Substituting for the variable: 

What does X³ - 3 + A² equal when X = 2 and A = 4

21

300

X - 20 = 35

X =? 

X = 55

400

3x = 57

x = 19

500

40 + A = 30

A = -10 

?

100

Order of operations 

3^{2 -} 3 + 4 * 2

14

200

x/2 = 16

X = ? 

x = 32

300

Combine like terms 

3X - X + 4 - 6 + 4X = 

6x -2

or

-2 + 6x 

or 

6x + - 2

400

4² + 3 * 6 - 8/2 - 20 = ? 

16 + 18 - 4 - 20 = 10

500

Combine like terms and then solve for X if X = 5

7X - 3X + 14 - 5² -6X 

-21