Question 1

Tell whether the pair of ratios forms a proportion. Answer yes or no . $$\frac { 9 } { 8 } , \frac { 72 } { 64 }$$

Accepted Answer

The answer of Tell whether the pair of ratios forms...

Question 2

Read the proportion and name the extremes. $$\frac { 1 } { 4 } = \frac { 5 } { 20 }$$

Accepted Answer

A)  $4 \text { and } 5$ 
B)  $1 \text { and } 20$ 
C)  $5 \text { and } 20$ 
D)  $1 \text { and } 5$ 
E)  $4 \text { and } 20$ 
A)  $4 \text { and } 5$ 
B)  $1 \text { and } 20$ 
C)  $5 \text { and } 20$ 
D)  $1 \text { and } 5$ 
E)  $4 \text { and } 20$

Question 3

Tell whether the pair of ratios forms a proportion. Answer yes or no . $$\frac { 63 } { 6 } , \frac { 31 } { 3 }$$

Accepted Answer

The answer of Tell whether the pair of ratios forms...

Question 4

Estimate the percentage. 
50% of 2,670

Accepted Answer

The answer of Estimate the percentage. 
50% of 2,670...

Question 5

Write a proportion for the statement, and then solve the proportion to find the value of the variable. $3$ is to $t$ as $9$ is to $12$

Accepted Answer

A)  $\frac { 3 } { 12 } = \frac { t } { 9 }$ ; $t = 3$ 
B)  $\frac { 3 } { t } = \frac { 9 } { 12 }$ ; $t = 3$ 
C)  $\frac { 3 } { 12 } = \frac { 9 } { t }$ ; $t = 4$ 
D)  $\frac { 3 } { t } = \frac { 9 } { 12 }$ ; $t = 4$ 
E)  $\frac { 3 } { t } = \frac { 9 } { 12 }$ ; $t = \frac { 1 } { 3 }$ 
A)  $\frac { 3 } { 12 } = \frac { t } { 9 }$ ; $t = 3$ 
B)  $\frac { 3 } { t } = \frac { 9 } { 12 }$ ; $t = 3$ 
C)  $\frac { 3 } { 12 } = \frac { 9 } { t }$ ; $t = 4$ 
D)  $\frac { 3 } { t } = \frac { 9 } { 12 }$ ; $t = 4$ 
E)  $\frac { 3 } { t } = \frac { 9 } { 12 }$ ; $t = \frac { 1 } { 3 }$

Question 6

A family plans to drive their car during their annual vacation. The car can go 340 miles on a tank of gas, which is 16 gallons of gas. The vacation they have planned will cover 1,836 miles. How many gallons of gas will that take? Round your answer to one decimal place, if necessary.

Accepted Answer

A)  21.3 gal 
B)  115.1 gal 
C)  114.8 gal 
D)  86.4 gal 
E)  5.4 gal 
A)  21.3 gal 
B)  115.1 gal 
C)  114.8 gal 
D)  86.4 gal 
E)  5.4 gal

Question 7

Estimate the percentage. $33 \frac { 1 } { 3 }$ % of 4,380

Accepted Answer

A)  $300$ 
B)  $13,140$ 
C)  $1,500$ 
D)  $3,000$ 
E)  $438$ 
A)  $300$ 
B)  $13,140$ 
C)  $1,500$ 
D)  $3,000$ 
E)  $438$

Question 8

Solve the proportion. $$\frac { 2 } { 5 } = \frac { 6 } { x }$$

Accepted Answer

A)  $x = \frac { 12 } { 5 }$ 
B)  $x = \frac { 5 } { 3 }$ 
C)  $x = 9$ 
D)  $x = 28$ 
E)  $x = 15$ 
A)  $x = \frac { 12 } { 5 }$ 
B)  $x = \frac { 5 } { 3 }$ 
C)  $x = 9$ 
D)  $x = 28$ 
E)  $x = 15$

Question 9

Solve the proportion. Give your answer as a fraction in lowest terms. $$\frac { 7 } { 9 } = \frac { x } { 2 }$$

Accepted Answer

The answer of Solve the proportion. Give your answer as...

Question 10

One cup of breakfast cereal was found to contain the following nutrients (shown in grams per serving).   Find the ratio of protein to carbohydrate.

Accepted Answer

A)  $\frac { 11 } { 25 }$ 
B)  $\frac { 25 } { 11 }$ 
C)  $\frac { 5 } { 1 }$ 
D)  $\frac { 1 } { 25 }$ 
E)  $\frac{1}{5}$ 
A)  $\frac { 11 } { 25 }$ 
B)  $\frac { 25 } { 11 }$ 
C)  $\frac { 5 } { 1 }$ 
D)  $\frac { 1 } { 25 }$ 
E)  $\frac{1}{5}$

Question 11

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What percent of 16 is 12?

Accepted Answer

A)  $16$ % 
B)  $50$ % 
C)  $133.33$ % 
D)  $12$ % 
E)  $75$ % 
A)  $16$ % 
B)  $50$ % 
C)  $133.33$ % 
D)  $12$ % 
E)  $75$ %

Question 12

An airplane flies 1,660 miles in 4 hours. How far will it fly in 5 hours?

Accepted Answer

A)  2,075 mi 
B)  10,375 mi 
C)  2,073 mi 
D)  2,074 mi 
E)  1,328 mi 
A)  2,075 mi 
B)  10,375 mi 
C)  2,073 mi 
D)  2,074 mi 
E)  1,328 mi

Question 13

Change the fraction to a percent. $\frac{1}{8}$

Accepted Answer

A)  125% 
B)  1,250% 
C)  12.5% 
D)  1.25% 
E)  80% 
A)  125% 
B)  1,250% 
C)  12.5% 
D)  1.25% 
E)  80%

Question 14

Solve the proportion. $$\frac { 6 } { 1 } = \frac { x } { 4 }$$

Accepted Answer

A)  $x = 24$ 
B)  $x = \frac { 2 } { 3 }$ 
C)  $x = \frac { 1 } { 24 }$ 
D)  $x = 30$ 
E)  $x = \frac { 1 } { 6 }$ 
A)  $x = 24$ 
B)  $x = \frac { 2 } { 3 }$ 
C)  $x = \frac { 1 } { 24 }$ 
D)  $x = 30$ 
E)  $x = \frac { 1 } { 6 }$

Question 15

Grades in a classroom are often given according to the percentage score obtained by the student. Suppose that a teacher grades according to the following scheme, where all scores are rounded to the nearest percent: A $\quad 90 \% - 100 \%$
B $80 \% - 89 \%$
C $65 \% - 79 \%$
D $50 \% - 64 \%$
$\mathrm { F } \quad 0 \% - 49 \%$ To determine a percent grade, form a ratio of score received to possible score and then write this ratio as a percent. Calculate the percent (nearest percent) and determine the letter grade for each score. The student gets 91 answers right out of a possible 100. What is the letter grade?

Accepted Answer

A)  A 
B)  F 
C)  C 
D)  B 
E)  D 
A)  A 
B)  F 
C)  C 
D)  B 
E)  D

Question 16

Solve the proportion. $$\frac { G } { 36 } = \frac { 15 } { 18 }$$

Accepted Answer

A)  $G = 33$ 
B)  $G = \frac { 216 } { 5 }$ 
C)  $G = \frac { 2 } { 15 }$ 
D)  $G = 30$ 
E)  $G = \frac { 15 } { 2 }$ 
A)  $G = 33$ 
B)  $G = \frac { 216 } { 5 }$ 
C)  $G = \frac { 2 } { 15 }$ 
D)  $G = 30$ 
E)  $G = \frac { 15 } { 2 }$

Question 17

Change the percent to a fraction in lowest terms. 
83%

Accepted Answer

The answer of Change the percent to a fraction in...

Question 18

Solve the proportion. $$\frac { 6 \frac { 3 } { 4 } } { 9 } = \frac { M } { 4 }$$

Accepted Answer

A)  $M = 4$ 
B)  $M = \frac { 1 } { 9 }$ 
C)  $M = 3$ 
D)  $M = 9$ 
E)  $M = \frac { 8 } { 3 }$ 
A)  $M = 4$ 
B)  $M = \frac { 1 } { 9 }$ 
C)  $M = 3$ 
D)  $M = 9$ 
E)  $M = \frac { 8 } { 3 }$

Question 19

On a 150-question test a student answered 132 correctly. What percent of the problems did the student work correctly?

Accepted Answer

A)  132 % 
B)  12 % 
C)  77 % 
D)  88 % 
E)  90 % 
A)  132 % 
B)  12 % 
C)  77 % 
D)  88 % 
E)  90 %

Question 20

Change the given forms into the missing form:

Accepted Answer

A)  $\frac { 8 } { 100 }$ 
B)  $\frac { 25 } { 3 }$ 
C)  $\frac { 8 } { 12 }$ 
D)  $\frac { 1 } { 12 }$ 
E)  $8 \frac { 1 } { 3 }$ 
A)  $\frac { 8 } { 100 }$ 
B)  $\frac { 25 } { 3 }$ 
C)  $\frac { 8 } { 12 }$ 
D)  $\frac { 1 } { 12 }$ 
E)  $8 \frac { 1 } { 3 }$

Tell whether the pair of ratios forms a proportion. Answer yes or no . $\frac { 9 } { 8 } , \frac { 72 } { 64 }$

Read the proportion and name the extremes. $\frac { 1 } { 4 } = \frac { 5 } { 20 }$

Tell whether the pair of ratios forms a proportion. Answer yes or no . $\frac { 63 } { 6 } , \frac { 31 } { 3 }$

Estimate the percentage. 50% of 2,670

Write a proportion for the statement, and then solve the proportion to find the value of the variable. $3$ is to $t$ as $9$ is to $12$

A family plans to drive their car during their annual vacation. The car can go 340 miles on a tank of gas, which is 16 gallons of gas. The vacation they have planned will cover 1,836 miles. How many gallons of gas will that take? Round your answer to one decimal place, if necessary.

Estimate the percentage. $33 \frac { 1 } { 3 }$ % of 4,380

Solve the proportion. $\frac { 2 } { 5 } = \frac { 6 } { x }$

Solve the proportion. Give your answer as a fraction in lowest terms. $\frac { 7 } { 9 } = \frac { x } { 2 }$

One cup of breakfast cereal was found to contain the following nutrients (shown in grams per serving). Find the ratio of protein to carbohydrate.

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What percent of 16 is 12?

An airplane flies 1,660 miles in 4 hours. How far will it fly in 5 hours?

Change the fraction to a percent. $\frac{1}{8}$

Solve the proportion. $\frac { 6 } { 1 } = \frac { x } { 4 }$

Solve the proportion. $\frac { G } { 36 } = \frac { 15 } { 18 }$

Change the percent to a fraction in lowest terms. 83%

Solve the proportion. $\frac { 6 \frac { 3 } { 4 } } { 9 } = \frac { M } { 4 }$

On a 150-question test a student answered 132 correctly. What percent of the problems did the student work correctly?

Change the given forms into the missing form:

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Introduction to Algebra

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Sets and Logic

Probability

Statistics

Graphs

Filters

Exam 4: Percents and Problem Solving

Tell whether the pair of ratios forms a proportion. Answer yes or no . 98,7264\frac { 9 } { 8 } , \frac { 72 } { 64 }89​,6472​

Read the proportion and name the extremes. 14=520\frac { 1 } { 4 } = \frac { 5 } { 20 }41​=205​

Tell whether the pair of ratios forms a proportion. Answer yes or no . 636,313\frac { 63 } { 6 } , \frac { 31 } { 3 }663​,331​

Estimate the percentage. 50% of 2,670

Write a proportion for the statement, and then solve the proportion to find the value of the variable. 333 is to ttt as 999 is to 121212

A family plans to drive their car during their annual vacation. The car can go 340 miles on a tank of gas, which is 16 gallons of gas. The vacation they have planned will cover 1,836 miles. How many gallons of gas will that take? Round your answer to one decimal place, if necessary.

Estimate the percentage. 331333 \frac { 1 } { 3 }3331​ % of 4,380

Solve the proportion. 25=6x\frac { 2 } { 5 } = \frac { 6 } { x }52​=x6​

Solve the proportion. Give your answer as a fraction in lowest terms. 79=x2\frac { 7 } { 9 } = \frac { x } { 2 }97​=2x​

One cup of breakfast cereal was found to contain the following nutrients (shown in grams per serving). Find the ratio of protein to carbohydrate.

Write the sentence as a proportion using xxx as the variable. Solve the proportion to answer the question. What percent of 16 is 12?

An airplane flies 1,660 miles in 4 hours. How far will it fly in 5 hours?

Change the fraction to a percent. 18\frac{1}{8}81​

Solve the proportion. 61=x4\frac { 6 } { 1 } = \frac { x } { 4 }16​=4x​

Solve the proportion. G36=1518\frac { G } { 36 } = \frac { 15 } { 18 }36G​=1815​

Change the percent to a fraction in lowest terms. 83%

Solve the proportion. 6349=M4\frac { 6 \frac { 3 } { 4 } } { 9 } = \frac { M } { 4 }9643​​=4M​

On a 150-question test a student answered 132 correctly. What percent of the problems did the student work correctly?

Change the given forms into the missing form:

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Introduction to Algebra

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Sets and Logic

Probability

Statistics

Graphs

Filters

Tell whether the pair of ratios forms a proportion. Answer yes or no . $\frac { 9 } { 8 } , \frac { 72 } { 64 }$

Read the proportion and name the extremes. $\frac { 1 } { 4 } = \frac { 5 } { 20 }$

Tell whether the pair of ratios forms a proportion. Answer yes or no . $\frac { 63 } { 6 } , \frac { 31 } { 3 }$

Write a proportion for the statement, and then solve the proportion to find the value of the variable. $3$ is to $t$ as $9$ is to $12$

Estimate the percentage. $33 \frac { 1 } { 3 }$ % of 4,380

Solve the proportion. $\frac { 2 } { 5 } = \frac { 6 } { x }$

Solve the proportion. Give your answer as a fraction in lowest terms. $\frac { 7 } { 9 } = \frac { x } { 2 }$

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What percent of 16 is 12?

Change the fraction to a percent. $\frac{1}{8}$

Solve the proportion. $\frac { 6 } { 1 } = \frac { x } { 4 }$

Solve the proportion. $\frac { G } { 36 } = \frac { 15 } { 18 }$

Solve the proportion. $\frac { 6 \frac { 3 } { 4 } } { 9 } = \frac { M } { 4 }$