Algebra Unit 4

Percent

100

What percent of 87 is 87?

100%

200

What percent of 60 is 12?

20%

300

141 is 75% of what?

188

400

What percent of Cook County MS population (94 students) is 8th grade (37)?

~39.3%

500

Suppose your friend's service project requires 36 hours of community service. Your friend spent 45 hours volunteering at the YMCA. What percent of the requirement did he fill? 

125%

Proportion

100

3r/15 = 36/15

r = 4

200

k/9 = 63/81

k = 7

300

-5n/8 = 15/4

n = 6

400

7/112 = (c-3)/8

c = 3.5 or 7/2

500

2/-3 = (4v+4)/(2v+14)

v= -5/2

Writing Ratios

100

Write the ratio in the simplest form:

7:10

7:10

200

Write the ratio in the simplest form:

55:77

5:7

300

On the football field, there are usually 5 linemen and 6 skilled positions on offense. Find the ratio of linemen to total offensive players on the field. Write your answer using a colon. 

5:6

400

A volleyball team plays 12 home matches out of 25 matches. Write the ratio of home matches to away matches. Write your answer as a fraction. 

12/13

500

Mr. Anderson has a class of 18 students. 8 students are girls. What is the ratio of girls to boys (in the simplest form)?

4:5

4/5

4 to 5

Solve for Y

100

y + 6x = 12

y = -6x + 12

200

7x = 8y + 7x

y = 0

300

x - y = 13

y = x - 13

400

5y = 10x + 25

y = 2x + 5

500

5x - 2.5y = 25

y = 2x - 10