Ratios
Rates
Percentages
Algebra with Variables
Algebra with exponents
100


Last week, Cora's Ice Creamery sold 23 sundaes with nuts and 27 sundaes without nuts. What is the ratio of the number of sundaes without nuts to the number of sundaes with nuts?

27:23

100

Find the unit rate.

10 orders in 2 days = ___ orders per day

5 orders per day

100

How do you write 1.1 as a percentage?

Write your answer using a percent sign (%).

110%

100

Write an expression for the operation described below.

6 less than d

d - 6

100

Solve the exponent expression.

13=?

1

200

Out of the 52 students in the gym, 21 are sitting on the bleachers and the rest are sitting on the floor. What is the ratio of the number of students sitting on the floor to the number of students sitting on the bleachers?

31:21

200

Find the unit rate.


90 stickers on 5 pages = ____ stickers per page

18 stickers per page.

200

40% of $90 = $___

$36

200

Find the value of the expression

(31 + 12) · k

for k = 2. 

86

(31+12) x 2

43 x 2 = 86

200

Find the missing base.

Write your answer as a whole number. __2 = 36

6

300

A donut factory made 648 donuts. They put sprinkles on top of 364 of the donuts. What is the ratio of the number of donuts without sprinkles to the number of donuts with sprinkles?

284:364

300

Write the missing number to complete the proportion(make the rates equal).


16 flowers in 8 vases = 8 flowers in ___ vases

4 vases

300

Bruce ordered a set of purple and blue pins. He received 80 pins, and 40% of them were purple. How many purple pins did Bruce receive?

32 purple pins

300

Ms. Hendricks encourages her sixth-grade class to keep reading during breaks from school. She said that during a break lasting d days, they should each read 30d minutes in total. This year, spring break is 9 days long.

How many minutes should each student read during spring break?

Write your answer as a whole number or decimal.

270 minutes

300

Write 74 in expanded form and then solve it.

7 x 7 x 7 x 7 = 2,401

400

Select all ratios equivalent to 5:2.

12:1
15:6
10:4


15:6

10:4

400

Write the missing number to complete the proportion.


39 sit-ups in 3 days =  ___ sit-ups in 2 days

26 sit-ups

400

21 is 25% of what number?

84

400

Lorenzo's family is driving to the beach to go kayaking with sea otters. The beach is 85 miles from Lorenzo's house. They have already driven 63 miles.

Let m represent how many miles Lorenzo's family has left to drive. Write an equation that models the story problem.

BONUS: Correctly solve what number m equals.

63 + m = 85

63 + 22 = 85

400

Solve the expression: 2(3+6)2

162


2(3+6)2 = 2(9)2 = 2x81 = 162


500

Are these ratios equivalent? You must show why or why not.

45 newspapers every 39 days

35 newspapers every 38 days

No

45:39=15:13

35:38=already simplified

500

Leah just moved and is looking for a new dance studio. She gets the price lists from Tip Top Toes and Groovin' & Movin'. Tip Top Toes charges $300 for 12 classes. Groovin' & Movin' charges $264 for 11 classes. Which dance studio offers the better deal? 

Tip Top Toes is $25 per class.

Groovin & Movin is $24 per class.

Groovin & Movin offers the better deal!

500

182 out of the 200 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work full-time?

9% are full-time employees

182/200=0.91

0.91 x 100= 91%

100% - 91% = 9%

500

Ruth's grandfather has a very old pet tortoise. He told Ruth that the tortoise was 61 years old when she was born 10 years ago. Ruth is amazed and wants to know how old the tortoise is now. 

Solve this equation for t to find the tortoise's age.


71 years old

t - 10 = 61

71 - 10 = 61

500

7 + x2 = 16

Solve for x. (Find out what x equals to make this equation true)

x=3