Question 1

Write a proportion for the statement, and then solve the proportion to find the value of the variable. $t$ is to $6$ as $1$ is to $2$

Accepted Answer

A)  $\frac { t } { 2 } = \frac { 6 } { 1 }$ ; $t = 3$ 
B)  $\frac { t } { 6 } = \frac { 1 } { 2 }$ ; $t = \frac { 1 } { 3 }$ 
C)  $\frac { t } { 2 } = \frac { 1 } { 6 }$ ; $t = 3$ 
D)  $\frac { t } { 6 } = \frac { 1 } { 2 }$ ; $t = 6$ 
E)  $\frac { t } { 6 } = \frac { 1 } { 2 }$ ; $t = 3$ 
A)  $\frac { t } { 2 } = \frac { 6 } { 1 }$ ; $t = 3$ 
B)  $\frac { t } { 6 } = \frac { 1 } { 2 }$ ; $t = \frac { 1 } { 3 }$ 
C)  $\frac { t } { 2 } = \frac { 1 } { 6 }$ ; $t = 3$ 
D)  $\frac { t } { 6 } = \frac { 1 } { 2 }$ ; $t = 6$ 
E)  $\frac { t } { 6 } = \frac { 1 } { 2 }$ ; $t = 3$

Question 2

Change the fraction to a percent. $$\frac { 7 } { 20 }$$

Accepted Answer

A)  0.05% 
B)  35% 
C)  0.35% 
D)  7% 
E)  70% 
A)  0.05% 
B)  35% 
C)  0.35% 
D)  7% 
E)  70%

Question 3

Solve the proportion. $$\frac { 7 } { 3 } = \frac { x } { 3 }$$

Accepted Answer

A)  $x = 21$ 
B)  $x = 3$ 
C)  $x = \frac { 1 } { 7 }$ 
D)  $x = 7$ 
E)  $x = \frac { 1 } { 3 }$ 
A)  $x = 21$ 
B)  $x = 3$ 
C)  $x = \frac { 1 } { 7 }$ 
D)  $x = 7$ 
E)  $x = \frac { 1 } { 3 }$

Question 4

In 1988 10% of adult Americans said the car was the greatest invention of all time. Assuming the same facts apply today and assuming that there are 200 million adult Americans, how many adult Americans say the car is the greatest invention of all time?

Accepted Answer

A)  $19,990,000$ 
B)  $19,000,000$ 
C)  $20,000$ 
D)  $18,000,000$ 
E)  $20,000,000$ 
A)  $19,990,000$ 
B)  $19,000,000$ 
C)  $20,000$ 
D)  $18,000,000$ 
E)  $20,000,000$

Question 5

Read the proportion and name the means and extremes. $$\frac { 20 } { b } = \frac { c } { 4 }$$

Accepted Answer

A)  The means are $4$ and $b$ . The extremes are $20$ and $c$ . 
B)  The means are $20$ and $b$ . The extremes are $4$ and $c$ . 
C)  The means are $20$ and $c$ . The extremes are $4$ and $b$ . 
D)  The means are $20$ and $4$ . The extremes are $b$ and $c$ . 
E)  The means are $b$ and $c$ . The extremes are $20$ and $4$ . 
A)  The means are $4$ and $b$ . The extremes are $20$ and $c$ . 
B)  The means are $20$ and $b$ . The extremes are $4$ and $c$ . 
C)  The means are $20$ and $c$ . The extremes are $4$ and $b$ . 
D)  The means are $20$ and $4$ . The extremes are $b$ and $c$ . 
E)  The means are $b$ and $c$ . The extremes are $20$ and $4$ .

Question 6

Solve the proportion. $$\frac { \frac { 2 } { 5 } } { y } = \frac { \frac { 1 } { 5 } } { 11 }$$

Accepted Answer

A)  $y = \frac { 50 } { 11 }$ 
B)  $y = \frac { 1 } { 22 }$ 
C)  $y = 19$ 
D)  $y = 22$ 
E)  $y = \frac { 1 } { 19 }$ 
A)  $y = \frac { 50 } { 11 }$ 
B)  $y = \frac { 1 } { 22 }$ 
C)  $y = 19$ 
D)  $y = 22$ 
E)  $y = \frac { 1 } { 19 }$

Question 7

Write the following ratio as a fraction in lowest terms. 
The ratio of dogs to cats is 9 to 8.

Accepted Answer

The answer of Write the following ratio as a fraction...

Question 8

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 $$5 \frac { 1 } { 2 }$$ answers right out of a possible 10. What is the letter grade?

Accepted Answer

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

Question 9

Read the proportion and name the means and extremes. $$\frac { a } { 3 } = \frac { c } { 2 }$$ The means are --------$\text { and }$--------- . The extremes are ------$\text { and }$------ .

Accepted Answer

The answer of Read the proportion and name the means...

Question 10

Change the percent to a decimal. 90%

Accepted Answer

A)  90.0 
B)  0.9 
C)  9.0 
D)  0.09 
E)  0.1 
A)  90.0 
B)  0.9 
C)  9.0 
D)  0.09 
E)  0.1

Question 11

Change the percent to a decimal. 
10%

Accepted Answer

The answer of Change the percent to a decimal. 
10%...

Question 12

The state sales tax rate in Utah is 4.75%. Find the sales tax on a bedroom suite that sells for $1,500. 
$ __________

Accepted Answer

The answer of The state sales tax rate in Utah...

Question 13

Write the sentence as a proportion using $x$ as the variable, and solve to answer the question. 3 is what percent of 5? Enter $x$ and integers. $$\frac { ? } { ? } = \frac { ? } { 100 }$$ Solve the proportion to answer the question. $$x =$$ __________

Accepted Answer

The answer of Write the sentence as a proportion using...

Question 14

Estimate the percentage. 
25% of 426

Accepted Answer

The answer of Estimate the percentage. 
25% of 426...

Question 15

Estimate the percentage. $66 \frac { 2 } { 3 }$ % of 8,760

Accepted Answer

The answer of Estimate the percentage. \(66 \frac { 2...

Question 16

Write the following ratio as a fraction in lowest terms. The ratio of peanuts to cashews is 25 to 85.

Accepted Answer

A)  $\frac{5}{19}$ 
B)  $\frac{5}{17}$ 
C)  $\frac { 19 } { 5 }$ 
D)  $\frac { 17 } { 1 }$ 
E)  $\frac{1}{5}$ 
A)  $\frac{5}{19}$ 
B)  $\frac{5}{17}$ 
C)  $\frac { 19 } { 5 }$ 
D)  $\frac { 17 } { 1 }$ 
E)  $\frac{1}{5}$

Question 17

Change the percent to a fraction in lowest terms. 125%

Accepted Answer

A)  $\frac{4}{5}$ 
B)  $\frac{3}{5}$ 
C)  $\frac { 7 } { 5 }$ 
D)  $\frac { 5 } { 9 }$ 
E)  $\frac { 5 } { 4 }$ 
A)  $\frac{4}{5}$ 
B)  $\frac{3}{5}$ 
C)  $\frac { 7 } { 5 }$ 
D)  $\frac { 5 } { 9 }$ 
E)  $\frac { 5 } { 4 }$

Question 18

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

Accepted Answer

A)  $\frac { 83 } { 17 }$ 
B)  $\frac { 83 } { 100 }$ 
C)  $\frac { 17 } { 100 }$ 
D)  $\frac { 100 } { 17 }$ 
E)  $\frac { 17 } { 83 }$ 
A)  $\frac { 83 } { 17 }$ 
B)  $\frac { 83 } { 100 }$ 
C)  $\frac { 17 } { 100 }$ 
D)  $\frac { 100 } { 17 }$ 
E)  $\frac { 17 } { 83 }$

Question 19

Solve the proportion. $\frac { G } { 48 } = \frac { 15 } { 24 }$ $$G =$$ __________

Accepted Answer

The answer of Solve the proportion. \(\frac { G }...

Question 20

Change the given forms into the missing form:

Accepted Answer

A)  $133.33 \%$ 
B)  $750 \%$ 
C)  $75 \%$ 
D)  $7.5 \%$ 
E)  $0.75 \%$ 
A)  $133.33 \%$ 
B)  $750 \%$ 
C)  $75 \%$ 
D)  $7.5 \%$ 
E)  $0.75 \%$

Write a proportion for the statement, and then solve the proportion to find the value of the variable. $t$ is to $6$ as $1$ is to $2$

Change the fraction to a percent. $\frac { 7 } { 20 }$

Solve the proportion. $\frac { 7 } { 3 } = \frac { x } { 3 }$

In 1988 10% of adult Americans said the car was the greatest invention of all time. Assuming the same facts apply today and assuming that there are 200 million adult Americans, how many adult Americans say the car is the greatest invention of all time?

Read the proportion and name the means and extremes. $\frac { 20 } { b } = \frac { c } { 4 }$

Solve the proportion. $\frac { \frac { 2 } { 5 } } { y } = \frac { \frac { 1 } { 5 } } { 11 }$

Write the following ratio as a fraction in lowest terms. The ratio of dogs to cats is 9 to 8.

Read the proportion and name the means and extremes. $\frac { a } { 3 } = \frac { c } { 2 }$ The means are -------- $\text { and }$ --------- . The extremes are ------ $\text { and }$ ------ .

Change the percent to a decimal. 90%

Change the percent to a decimal. 10%

The state sales tax rate in Utah is 4.75%. Find the sales tax on a bedroom suite that sells for $1,500. $ __________

Write the sentence as a proportion using $x$ as the variable, and solve to answer the question. 3 is what percent of 5? Enter $x$ and integers. $\frac { ? } { ? } = \frac { ? } { 100 }$ Solve the proportion to answer the question. $x =$ __________

Estimate the percentage. 25% of 426

Estimate the percentage. $66 \frac { 2 } { 3 }$ % of 8,760

Write the following ratio as a fraction in lowest terms. The ratio of peanuts to cashews is 25 to 85.

Change the percent to a fraction in lowest terms. 125%

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

Solve the proportion. $\frac { G } { 48 } = \frac { 15 } { 24 }$ $G =$ __________

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

Write a proportion for the statement, and then solve the proportion to find the value of the variable. ttt is to 666 as 111 is to 222

Change the fraction to a percent. 720\frac { 7 } { 20 }207​

Solve the proportion. 73=x3\frac { 7 } { 3 } = \frac { x } { 3 }37​=3x​

In 1988 10% of adult Americans said the car was the greatest invention of all time. Assuming the same facts apply today and assuming that there are 200 million adult Americans, how many adult Americans say the car is the greatest invention of all time?

Read the proportion and name the means and extremes. 20b=c4\frac { 20 } { b } = \frac { c } { 4 }b20​=4c​

Solve the proportion. 25y=1511\frac { \frac { 2 } { 5 } } { y } = \frac { \frac { 1 } { 5 } } { 11 }y52​​=1151​​

Write the following ratio as a fraction in lowest terms. The ratio of dogs to cats is 9 to 8.

Read the proportion and name the means and extremes. a3=c2\frac { a } { 3 } = \frac { c } { 2 }3a​=2c​ The means are -------- and \text { and } and --------- . The extremes are ------ and \text { and } and ------ .

Change the percent to a decimal. 90%

Change the percent to a decimal. 10%

The state sales tax rate in Utah is 4.75%. Find the sales tax on a bedroom suite that sells for $1,500. $ __________

Write the sentence as a proportion using xxx as the variable, and solve to answer the question. 3 is what percent of 5? Enter xxx and integers. ??=?100\frac { ? } { ? } = \frac { ? } { 100 }??​=100?​ Solve the proportion to answer the question. x=x =x= __________

Estimate the percentage. 25% of 426

Estimate the percentage. 662366 \frac { 2 } { 3 }6632​ % of 8,760

Write the following ratio as a fraction in lowest terms. The ratio of peanuts to cashews is 25 to 85.

Change the percent to a fraction in lowest terms. 125%

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

Solve the proportion. G48=1524\frac { G } { 48 } = \frac { 15 } { 24 }48G​=2415​ G=G =G= __________

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

Write a proportion for the statement, and then solve the proportion to find the value of the variable. $t$ is to $6$ as $1$ is to $2$

Change the fraction to a percent. $\frac { 7 } { 20 }$

Solve the proportion. $\frac { 7 } { 3 } = \frac { x } { 3 }$

Read the proportion and name the means and extremes. $\frac { 20 } { b } = \frac { c } { 4 }$

Solve the proportion. $\frac { \frac { 2 } { 5 } } { y } = \frac { \frac { 1 } { 5 } } { 11 }$

Read the proportion and name the means and extremes. $\frac { a } { 3 } = \frac { c } { 2 }$ The means are -------- $\text { and }$ --------- . The extremes are ------ $\text { and }$ ------ .

Write the sentence as a proportion using $x$ as the variable, and solve to answer the question. 3 is what percent of 5? Enter $x$ and integers. $\frac { ? } { ? } = \frac { ? } { 100 }$ Solve the proportion to answer the question. $x =$ __________

Estimate the percentage. $66 \frac { 2 } { 3 }$ % of 8,760

Solve the proportion. $\frac { G } { 48 } = \frac { 15 } { 24 }$ $G =$ __________