Question 1

Solve the equation. $\frac { x } { 12 } = \frac { 1 } { 4 }$

Accepted Answer

3

Question 2

Find the cost of a $3,000 refrigerator that is on sale for 40% off.

Accepted Answer

A)  $1,800 
B)  $7,500 
C)  $2,960 
D)  $4,200 
E)  none of these 
A)  $1,800 
B)  $7,500 
C)  $2,960 
D)  $4,200 
E)  none of these A

Question 3

Solve the equation. $730 ( 3.6 t ) = 730$ Please give the answer rounded to two decimal places.

Accepted Answer

0.28

Question 4

A sum of $2,900 is invested, part of it at 10% interest and the remainder at 12%. If the interest earned by the 12% investment is $117 more than the interest earned by the 10% investment, find the amount invested at each rate. Enter your answer as two numbers separated by a comma, with the amount invested at 10% listed first.

Accepted Answer

The answer of A sum of $2,900 is invested, part...

Question 5

An inheritance of $234,000 is to be divided between a child and the local cancer fund in the ratio of 1 to 5. How much money will the child receive?

Accepted Answer

A)  $38,750 
B)  $38,500 
C)  $40,500 
D)  $39,000 
E)  $40,000 
A)  $38,750 
B)  $38,500 
C)  $40,500 
D)  $39,000 
E)  $40,000

Question 6

Use the formula $i = P r t$ to reach a solution for the following problem. One month a credit card company charged $15.84 in interest on a balance of $2,376. What annual interest rate is the credit card company charging? __________%

Accepted Answer

The answer of Use the formula \(i = P r...

Question 7

Solve the equation. $\frac { h } { 5 } - \frac { h } { 6 } = 8$

Accepted Answer

A)  h = 239 
B)  h = 245 
C)  h = 242 
D)  h = 240 
A)  h = 239 
B)  h = 245 
C)  h = 242 
D)  h = 240

Question 8

Pierre bought a coat for $116.85 that was listed for $205.00. What rate of discount did he receive? __________%

Accepted Answer

The answer of Pierre bought a coat for $116.85 that...

Question 9

Solve the equation. 0.2(15) + x = 0.8(20 + x )

Accepted Answer

The answer of Solve the equation. 0.2(15) + x =...

Question 10

One year of interest from an investment is found using the formula i = Pr .

Accepted Answer

A) True 
 B)False

Question 11

Solve the equation. $20 x + 21 \left( 3 \frac { 3 } { 4 } - x \right) = 99$ Enter your answer as a decimal if necessary.

Accepted Answer

To solve the equation 20x + 21\left(3 \f

Question 12

How long will it take $1,000 to triple itself if it is invested at 10% simple interest? __________ years

Accepted Answer

The answer of How long will it take $1,000 to...

Question 13

Solve d = rt for t if d = 176 and r = 16.

Accepted Answer

A)  t = 11 
B)  t = 6 
C)  t = 13 
D)  t = 16 
E)  none of these 
A)  t = 11 
B)  t = 6 
C)  t = 13 
D)  t = 16 
E)  none of these

Question 14

Solve the equation. $2 x = \frac { 1 } { 2 } \left( x - \frac { 1 } { 2 } \right)$ Enter your answer as a fraction.

Accepted Answer

The answer of Solve the equation. \(2 x = \frac...

Question 15

Solve the equation. $\frac { x + 4 } { 5 } - \frac { x + 3 } { 6 } = 6$

Accepted Answer

A)  x = 180 
B)  x = 171 
C)  x = 176 
D)  x = 170 
A)  x = 180 
B)  x = 171 
C)  x = 176 
D)  x = 170

Question 16

Find the area of a circular region that has a diameter of 3 yards. Express the answer in terms of $\pi$ .

Accepted Answer

A)  $9 \pi \mathrm { yd } ^ { 2 }$ 
B)  $\frac { 9 } { 4 } \mathrm { yd } ^ { 2 }$ 
C)  $\frac { 9 } { 4 } \pi \mathrm { yd } ^ { 2 }$ 
D)  $\frac { 9 } { 2 } \pi \mathrm { yd } ^ { 2 }$ 
E)  none of these 
A)  $9 \pi \mathrm { yd } ^ { 2 }$ 
B)  $\frac { 9 } { 4 } \mathrm { yd } ^ { 2 }$ 
C)  $\frac { 9 } { 4 } \pi \mathrm { yd } ^ { 2 }$ 
D)  $\frac { 9 } { 2 } \pi \mathrm { yd } ^ { 2 }$ 
E)  none of these

Question 17

If the total surface area of a right circular cone is $72 \pi$ square feet and a radius of the base is 6 feet long, find the slant height of the cone.

Accepted Answer

A)  $4 \pi$ feet 
B)  $18$ feet 
C)  $6$ feet 
D)  $12$ feet 
E)  none of these 
A)  $4 \pi$ feet 
B)  $18$ feet 
C)  $6$ feet 
D)  $12$ feet 
E)  none of these

Question 18

Pierre bought a coat for $213.20 that was listed for $260. What rate of discount did he receive?

Accepted Answer

A)  12% 
B)  28% 
C)  21% 
D)  18% 
E)  none of these 
A)  12% 
B)  28% 
C)  21% 
D)  18% 
E)  none of these

Question 19

Ann leaves a town traveling in her car at a rate of 20 miles per hour. One hour later, Pamela leaves the same town traveling the same route at a rate of 30 miles per hour. How long will it take Pamela to overtake Ann?

Accepted Answer

A)  30 hours 
B)  22 hours 
C)  32 hours 
D)  2 hours 
A)  30 hours 
B)  22 hours 
C)  32 hours 
D)  2 hours

Question 20

Set up an equation and solve the following problem. A sum of $2,400 is invested, part of it at 10% interest and the remainder at 12%. If the interest earned by the 12% investment is $112 more than the interest earned by the 10% investment, find the amount invested at each rate.

Accepted Answer

A)  $1,100 at 10%, $1,300 at 12% 
B)  $1,000 at 10%, $1,400 at 12% 
C)  $800 at 10%, $1,600 at 12% 
D)  $650 at 10%, $1,750 at 12% 
A)  $1,100 at 10%, $1,300 at 12% 
B)  $1,000 at 10%, $1,400 at 12% 
C)  $800 at 10%, $1,600 at 12% 
D)  $650 at 10%, $1,750 at 12%

Solve the equation. $\frac { x } { 12 } = \frac { 1 } { 4 }$

Find the cost of a $3,000 refrigerator that is on sale for 40% off.

Solve the equation. $730 ( 3.6 t ) = 730$ Please give the answer rounded to two decimal places.

An inheritance of $234,000 is to be divided between a child and the local cancer fund in the ratio of 1 to 5. How much money will the child receive?

Use the formula $i = P r t$ to reach a solution for the following problem. One month a credit card company charged $15.84 in interest on a balance of $2,376. What annual interest rate is the credit card company charging? __________%

Solve the equation. $\frac { h } { 5 } - \frac { h } { 6 } = 8$

Pierre bought a coat for $116.85 that was listed for $205.00. What rate of discount did he receive? __________%

Solve the equation. 0.2(15) + x = 0.8(20 + x )

One year of interest from an investment is found using the formula i = Pr .

Solve the equation. $20 x + 21 \left( 3 \frac { 3 } { 4 } - x \right) = 99$ Enter your answer as a decimal if necessary.

How long will it take $1,000 to triple itself if it is invested at 10% simple interest? __________ years

Solve d = rt for t if d = 176 and r = 16.

Solve the equation. $2 x = \frac { 1 } { 2 } \left( x - \frac { 1 } { 2 } \right)$ Enter your answer as a fraction.

Solve the equation. $\frac { x + 4 } { 5 } - \frac { x + 3 } { 6 } = 6$

Find the area of a circular region that has a diameter of 3 yards. Express the answer in terms of $\pi$ .

If the total surface area of a right circular cone is $72 \pi$ square feet and a radius of the base is 6 feet long, find the slant height of the cone.

Pierre bought a coat for $213.20 that was listed for $260. What rate of discount did he receive?

Ann leaves a town traveling in her car at a rate of 20 miles per hour. One hour later, Pamela leaves the same town traveling the same route at a rate of 30 miles per hour. How long will it take Pamela to overtake Ann?

Set up an equation and solve the following problem. A sum of $2,400 is invested, part of it at 10% interest and the remainder at 12%. If the interest earned by the 12% investment is $112 more than the interest earned by the 10% investment, find the amount invested at each rate.

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 4: Formulas and Problem Solving

Solve the equation. x12=14\frac { x } { 12 } = \frac { 1 } { 4 }12x​=41​

Find the cost of a $3,000 refrigerator that is on sale for 40% off.

Solve the equation. 730(3.6t)=730730 ( 3.6 t ) = 730730(3.6t)=730 Please give the answer rounded to two decimal places.

An inheritance of $234,000 is to be divided between a child and the local cancer fund in the ratio of 1 to 5. How much money will the child receive?

Use the formula i=Prti = P r ti=Prt to reach a solution for the following problem. One month a credit card company charged $15.84 in interest on a balance of $2,376. What annual interest rate is the credit card company charging? __________%

Solve the equation. h5−h6=8\frac { h } { 5 } - \frac { h } { 6 } = 85h​−6h​=8

Pierre bought a coat for $116.85 that was listed for $205.00. What rate of discount did he receive? __________%

Solve the equation. 0.2(15) + x = 0.8(20 + x )

One year of interest from an investment is found using the formula i = Pr .

Solve the equation. 20x+21(334−x)=9920 x + 21 \left( 3 \frac { 3 } { 4 } - x \right) = 9920x+21(343​−x)=99 Enter your answer as a decimal if necessary.

How long will it take $1,000 to triple itself if it is invested at 10% simple interest? __________ years

Solve d = rt for t if d = 176 and r = 16.

Solve the equation. 2x=12(x−12)2 x = \frac { 1 } { 2 } \left( x - \frac { 1 } { 2 } \right)2x=21​(x−21​) Enter your answer as a fraction.

Solve the equation. x+45−x+36=6\frac { x + 4 } { 5 } - \frac { x + 3 } { 6 } = 65x+4​−6x+3​=6

Find the area of a circular region that has a diameter of 3 yards. Express the answer in terms of π\piπ .

If the total surface area of a right circular cone is 72π72 \pi72π square feet and a radius of the base is 6 feet long, find the slant height of the cone.

Pierre bought a coat for $213.20 that was listed for $260. What rate of discount did he receive?

Ann leaves a town traveling in her car at a rate of 20 miles per hour. One hour later, Pamela leaves the same town traveling the same route at a rate of 30 miles per hour. How long will it take Pamela to overtake Ann?

Set up an equation and solve the following problem. A sum of $2,400 is invested, part of it at 10% interest and the remainder at 12%. If the interest earned by the 12% investment is $112 more than the interest earned by the 10% investment, find the amount invested at each rate.

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Solve the equation. $\frac { x } { 12 } = \frac { 1 } { 4 }$

Solve the equation. $730 ( 3.6 t ) = 730$ Please give the answer rounded to two decimal places.

Use the formula $i = P r t$ to reach a solution for the following problem. One month a credit card company charged $15.84 in interest on a balance of $2,376. What annual interest rate is the credit card company charging? __________%

Solve the equation. $\frac { h } { 5 } - \frac { h } { 6 } = 8$

Solve the equation. $20 x + 21 \left( 3 \frac { 3 } { 4 } - x \right) = 99$ Enter your answer as a decimal if necessary.

Solve the equation. $2 x = \frac { 1 } { 2 } \left( x - \frac { 1 } { 2 } \right)$ Enter your answer as a fraction.

Solve the equation. $\frac { x + 4 } { 5 } - \frac { x + 3 } { 6 } = 6$

Find the area of a circular region that has a diameter of 3 yards. Express the answer in terms of $\pi$ .

If the total surface area of a right circular cone is $72 \pi$ square feet and a radius of the base is 6 feet long, find the slant height of the cone.