Question 1

Find the perimeter of a rectangle that is 16 centimeters long and 3 centimeters wide. __________ centimeters

Accepted Answer

The answer of Find the perimeter of a rectangle that...

Question 2

In the illustration you ll notice that the diameter of a metal washer is a = 7 centimeters. The diameter of the hole is b = 2 centimeters. How many square centimeters of metal are there in 28 washers? Express the answer in terms of $\pi$ .

Accepted Answer

A)  $335 \pi \mathrm { cm } ^ { 2 }$ 
B)  $305 \pi \mathrm { cm } ^ { 2 }$ 
C)  $315 \pi \mathrm { cm } ^ { 2 }$ 
D)  $325 \pi \mathrm { cm } ^ { 2 }$ 
E)  none of these 
A)  $335 \pi \mathrm { cm } ^ { 2 }$ 
B)  $305 \pi \mathrm { cm } ^ { 2 }$ 
C)  $315 \pi \mathrm { cm } ^ { 2 }$ 
D)  $325 \pi \mathrm { cm } ^ { 2 }$ 
E)  none of these

Question 3

The length of a rectangle is 2 times its width. If the perimeter of the rectangle is 54 inches, find its length and width. Please enter your answer as two numbers without the units, listed from least to greatest, separated by a comma.

Accepted Answer

The answer of The length of a rectangle is 2...

Question 4

The mixture problem guideline only works when the problem is mixing liquid solutions.

Accepted Answer

A) True 
 B)False

Question 5

Set up an equation and solve the following problem. How many liters of pure alcohol must be added to 20 liters of a 30% solution to obtain a 80% solution? __________ liters

Accepted Answer

The answer of Set up an equation and solve the...

Question 6

If a sofa costs a retailer $420, at what price should it be sold to gain a profit of 65% of the selling price?

Accepted Answer

A)  $721.00 
B)  $678.00 
C)  $695.00 
D)  $693.00 
E)  none of these 
A)  $721.00 
B)  $678.00 
C)  $695.00 
D)  $693.00 
E)  none of these

Question 7

If the total surface area of a right circular cone is $36 \pi$ square feet and a radius of the base is 3 feet long, find the slant height of the cone. __________ feet

Accepted Answer

The answer of If the total surface area of a...

Question 8

How long will it take $100 to double itself if it is invested at 2% simple interest? __________ years

Accepted Answer

The answer of How long will it take $100 to...

Question 9

The width of a rectangle is 18 inches less than $\frac { 1 } { 8 }$ of its length. If the perimeter of the rectangle 342 inches, find the area of the rectangle.

Accepted Answer

A)  $504 \mathrm { in } ^ { 2 }$ 
B)  $168 \text { in } ^ { 2 }$ 
C)  $252 \mathrm { in } ^ { 2 }$ 
D)  $3 \text { in } ^ { 2 }$ 
A)  $504 \mathrm { in } ^ { 2 }$ 
B)  $168 \text { in } ^ { 2 }$ 
C)  $252 \mathrm { in } ^ { 2 }$ 
D)  $3 \text { in } ^ { 2 }$

Question 10

A retailer has some skirts that cost her $25. If she sells them for $32.75, find her rate of profit based on the cost.

Accepted Answer

A)  26% 
B)  33% 
C)  31% 
D)  30% 
E)  none of these 
A)  26% 
B)  33% 
C)  31% 
D)  30% 
E)  none of these

Question 11

Use the formula $i = P r t$ to reach a solution for the following problem. One month a credit card company charged $29.25 in interest on a balance of $3,900. What annual interest rate is the credit card company charging?

Accepted Answer

A)  11% 
B)  9% 
C)  8% 
D)  9.5% 
E)  none of these 
A)  11% 
B)  9% 
C)  8% 
D)  9.5% 
E)  none of these

Question 12

Volume of a prism. Solve the formula for B . V = Bh

Accepted Answer

A)  $B = \frac { V } { h }$ 
B)  $B = V \cdot h$ 
C)  $h = \frac { V } { B }$ 
D)  none of these 
A)  $B = \frac { V } { h }$ 
B)  $B = V \cdot h$ 
C)  $h = \frac { V } { B }$ 
D)  none of these

Question 13

If the ratio of the width of a rectangle to its length is $\frac { 4 } { 5 }$ and the length is 40 centimeters, find the width.

Accepted Answer

A)  34 cm 
B)  28 cm 
C)  32 cm 
D)  37 cm 
A)  34 cm 
B)  28 cm 
C)  32 cm 
D)  37 cm

Question 14

Use the formula $i = P r t$ to reach a solution for the following problem. How long (in years) will $8,250 need to be invested at a 12% annual interest rate to earn $3,960.00? __________ years

Accepted Answer

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

Question 15

Solve the equation for y . $a x + b y - c = 0$

Accepted Answer

A)  $y = \frac { c - b x } { a }$ 
B)  $y = \frac { c - a x } { b }$ 
C)  $y = \frac { c + b x } { a }$ 
D)  none of these 
A)  $y = \frac { c - b x } { a }$ 
B)  $y = \frac { c - a x } { b }$ 
C)  $y = \frac { c + b x } { a }$ 
D)  none of these

Question 16

Use the formula $i = P r t$ to reach a solution for the following problem. How much principal, invested at 9% annual interest for 8 years, is needed to earn $1,936.80? $__________

Accepted Answer

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

Question 17

The second side of a triangle is 4 centimeters longer than 5 times the first side. The third side is 5 centimeters longer than the second side. If the perimeter is 178 centimeters, find the length of each side of the triangle.

Accepted Answer

A)  94 centimeters, 79 centimeters and 84 centimeters 
B)  15 centimeters, 79 centimeters and 84 centimeters 
C)  15 centimeters, 79 centimeters and 99 centimeters 
D)  15 centimeters, 163 centimeters and 84 centimeters 
A)  94 centimeters, 79 centimeters and 84 centimeters 
B)  15 centimeters, 79 centimeters and 84 centimeters 
C)  15 centimeters, 79 centimeters and 99 centimeters 
D)  15 centimeters, 163 centimeters and 84 centimeters

Question 18

Solve the equation. $682 ( 2 q ) = 2,728$

Accepted Answer

The answer of Solve the equation. \(682 ( 2 q...

Question 19

What is 4% of 38? Give the answer to two decimal places, if necessary.

Accepted Answer

The answer of What is 4% of 38? Give the...

Question 20

Volume of a prism Solve the formula for h . V = Bh

Accepted Answer

A)  $B = \frac { h } { V }$ 
B)  $h = V \cdot B$ 
C)  $B = \frac { V } { h }$ 
D)  $h = \frac { V } { \mathcal { B } }$ 
E)  none of these 
A)  $B = \frac { h } { V }$ 
B)  $h = V \cdot B$ 
C)  $B = \frac { V } { h }$ 
D)  $h = \frac { V } { \mathcal { B } }$ 
E)  none of these

Find the perimeter of a rectangle that is 16 centimeters long and 3 centimeters wide. __________ centimeters

The length of a rectangle is 2 times its width. If the perimeter of the rectangle is 54 inches, find its length and width. Please enter your answer as two numbers without the units, listed from least to greatest, separated by a comma.

The mixture problem guideline only works when the problem is mixing liquid solutions.

Set up an equation and solve the following problem. How many liters of pure alcohol must be added to 20 liters of a 30% solution to obtain a 80% solution? __________ liters

If a sofa costs a retailer $420, at what price should it be sold to gain a profit of 65% of the selling price?

If the total surface area of a right circular cone is $36 \pi$ square feet and a radius of the base is 3 feet long, find the slant height of the cone. __________ feet

How long will it take $100 to double itself if it is invested at 2% simple interest? __________ years

The width of a rectangle is 18 inches less than $\frac { 1 } { 8 }$ of its length. If the perimeter of the rectangle 342 inches, find the area of the rectangle.

A retailer has some skirts that cost her $25. If she sells them for $32.75, find her rate of profit based on the cost.

Use the formula $i = P r t$ to reach a solution for the following problem. One month a credit card company charged $29.25 in interest on a balance of $3,900. What annual interest rate is the credit card company charging?

Volume of a prism. Solve the formula for B . V = Bh

If the ratio of the width of a rectangle to its length is $\frac { 4 } { 5 }$ and the length is 40 centimeters, find the width.

Use the formula $i = P r t$ to reach a solution for the following problem. How long (in years) will $8,250 need to be invested at a 12% annual interest rate to earn $3,960.00? __________ years

Solve the equation for y . $a x + b y - c = 0$

Use the formula $i = P r t$ to reach a solution for the following problem. How much principal, invested at 9% annual interest for 8 years, is needed to earn $1,936.80? $__________

The second side of a triangle is 4 centimeters longer than 5 times the first side. The third side is 5 centimeters longer than the second side. If the perimeter is 178 centimeters, find the length of each side of the triangle.

Solve the equation. $682 ( 2 q ) = 2,728$

What is 4% of 38? Give the answer to two decimal places, if necessary.

Volume of a prism Solve the formula for h . V = Bh

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

Find the perimeter of a rectangle that is 16 centimeters long and 3 centimeters wide. __________ centimeters

In the illustration you ll notice that the diameter of a metal washer is a = 7 centimeters. The diameter of the hole is b = 2 centimeters. How many square centimeters of metal are there in 28 washers? Express the answer in terms of π\piπ .

The length of a rectangle is 2 times its width. If the perimeter of the rectangle is 54 inches, find its length and width. Please enter your answer as two numbers without the units, listed from least to greatest, separated by a comma.

The mixture problem guideline only works when the problem is mixing liquid solutions.

Set up an equation and solve the following problem. How many liters of pure alcohol must be added to 20 liters of a 30% solution to obtain a 80% solution? __________ liters

If a sofa costs a retailer $420, at what price should it be sold to gain a profit of 65% of the selling price?

If the total surface area of a right circular cone is 36π36 \pi36π square feet and a radius of the base is 3 feet long, find the slant height of the cone. __________ feet

How long will it take $100 to double itself if it is invested at 2% simple interest? __________ years

The width of a rectangle is 18 inches less than 18\frac { 1 } { 8 }81​ of its length. If the perimeter of the rectangle 342 inches, find the area of the rectangle.

A retailer has some skirts that cost her $25. If she sells them for $32.75, find her rate of profit based on the cost.

Use the formula i=Prti = P r ti=Prt to reach a solution for the following problem. One month a credit card company charged $29.25 in interest on a balance of $3,900. What annual interest rate is the credit card company charging?

Volume of a prism. Solve the formula for B . V = Bh

If the ratio of the width of a rectangle to its length is 45\frac { 4 } { 5 }54​ and the length is 40 centimeters, find the width.

Use the formula i=Prti = P r ti=Prt to reach a solution for the following problem. How long (in years) will $8,250 need to be invested at a 12% annual interest rate to earn $3,960.00? __________ years

Solve the equation for y . ax+by−c=0a x + b y - c = 0ax+by−c=0

Use the formula i=Prti = P r ti=Prt to reach a solution for the following problem. How much principal, invested at 9% annual interest for 8 years, is needed to earn $1,936.80? $__________

The second side of a triangle is 4 centimeters longer than 5 times the first side. The third side is 5 centimeters longer than the second side. If the perimeter is 178 centimeters, find the length of each side of the triangle.

Solve the equation. 682(2q)=2,728682 ( 2 q ) = 2,728682(2q)=2,728

What is 4% of 38? Give the answer to two decimal places, if necessary.

Volume of a prism Solve the formula for h . V = Bh

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

If the total surface area of a right circular cone is $36 \pi$ square feet and a radius of the base is 3 feet long, find the slant height of the cone. __________ feet

The width of a rectangle is 18 inches less than $\frac { 1 } { 8 }$ of its length. If the perimeter of the rectangle 342 inches, find the area of the rectangle.

Use the formula $i = P r t$ to reach a solution for the following problem. One month a credit card company charged $29.25 in interest on a balance of $3,900. What annual interest rate is the credit card company charging?

If the ratio of the width of a rectangle to its length is $\frac { 4 } { 5 }$ and the length is 40 centimeters, find the width.

Use the formula $i = P r t$ to reach a solution for the following problem. How long (in years) will $8,250 need to be invested at a 12% annual interest rate to earn $3,960.00? __________ years

Solve the equation for y . $a x + b y - c = 0$

Use the formula $i = P r t$ to reach a solution for the following problem. How much principal, invested at 9% annual interest for 8 years, is needed to earn $1,936.80? $__________

Solve the equation. $682 ( 2 q ) = 2,728$