Question 1

One number is 2 times another. Their product is 2 times their sum. Find the numbers.

Accepted Answer

The answer of One number is 2 times another. Their...

Question 2

The product of two consecutive even integers is 24. Find the two integers.

Accepted Answer

The answer of The product of two consecutive even integers...

Question 3

One number is 5 more than 2 times another. Their product is 18. Find the numbers.

Accepted Answer

The answer of One number is 5 more than 2...

Question 4

The total cost C of manufacturing x hundred videotapes is given by the equation.  Find x if the total cost is $1,500.  __________ hundred videotapes

Accepted Answer

The answer of The total cost C of manufacturing x...

Question 5

The height of a triangle is twice the base. The area is 25 square inches. Find the base. __________ inches

Accepted Answer

The answer of The height of a triangle is twice...

Question 6

A company manufactures diskettes for home computers. It knows from experience that the number of diskettes it can sell each day, x , is related to the price p per diskette by the equation  . At what price should the company sell the diskettes if it wants the daily revenue to be $5,400? ( Hint : The equation for revenue is  .)

Accepted Answer

The answer of A company manufactures diskettes for home computers....

Question 7

The relationship between the number of calculators a company sells per week, x , and the price p of each calculator is given by the equation  . At what price should the calculators be sold if the weekly revenue is to be $10,800? ( Hint : The equation for revenue is  .)

Accepted Answer

The answer of The relationship between the number of calculators...

Question 8

I have a piece of cardboard that is twice as long as it is wide. If I cut a 1-inch by 1-inch square from each corner and fold up the resulting flaps, I get a box with a volume of 112 cubic inches. What are the dimensions of the cardboard?

Accepted Answer

The answer of I have a piece of cardboard that...

Question 9

A company that manufactures typewriter ribbons knows that the number of ribbons it can sell each week, x , is related to the price p per ribbon by the equation  . At what price should the company sell the ribbons if it wants the weekly revenue to be $4,000? ( Hint : The equation for revenue is  .)

Accepted Answer

The answer of A company that manufactures typewriter ribbons knows...

Question 10

The hypotenuse of a right triangle is 58 inches. The lengths of the two legs are given by two consecutive even integers. Find the lengths of the two legs. shorter leg: __________ inches longer leg: __________ inches

Accepted Answer

The answer of The hypotenuse of a right triangle is...

Question 11

One number is 4 more than twice another. Their product is 4 more than twice their sum. Find the numbers.

Accepted Answer

The answer of One number is 4 more than twice...

Question 12

The product of two consecutive integers is 72. Find the two integers.

Accepted Answer

The answer of The product of two consecutive integers is...

Question 13

The length of a rectangle is 1 more than the width. The area is 42 square inches. Find the dimensions. width: __________ inches length: __________ inches

Accepted Answer

The answer of The length of a rectangle is 1...

Question 14

One number is 9 more than twice another. Their product is 26. Find the numbers.

Accepted Answer

The answer of One number is 9 more than twice...

Question 15

The product of two consecutive even integers is 56 less than 8 times their sum. Find the two integers.

Accepted Answer

The answer of The product of two consecutive even integers...

Quiz 5: The Greatest Common Factor and Factoring by Grouping

One number is 2 times another. Their product is 2 times their sum. Find the numbers.

The product of two consecutive even integers is 24. Find the two integers.

One number is 5 more than 2 times another. Their product is 18. Find the numbers.

The total cost C of manufacturing x hundred videotapes is given by the equation. Find x if the total cost is $1,500. __________ hundred videotapes

The height of a triangle is twice the base. The area is 25 square inches. Find the base. __________ inches

The relationship between the number of calculators a company sells per week, x , and the price p of each calculator is given by the equation . At what price should the calculators be sold if the weekly revenue is to be $10,800? ( Hint : The equation for revenue is .)

I have a piece of cardboard that is twice as long as it is wide. If I cut a 1-inch by 1-inch square from each corner and fold up the resulting flaps, I get a box with a volume of 112 cubic inches. What are the dimensions of the cardboard?

A company that manufactures typewriter ribbons knows that the number of ribbons it can sell each week, x , is related to the price p per ribbon by the equation . At what price should the company sell the ribbons if it wants the weekly revenue to be $4,000? ( Hint : The equation for revenue is .)

The hypotenuse of a right triangle is 58 inches. The lengths of the two legs are given by two consecutive even integers. Find the lengths of the two legs. shorter leg: inches longer leg: inches

One number is 4 more than twice another. Their product is 4 more than twice their sum. Find the numbers.

The product of two consecutive integers is 72. Find the two integers.

The length of a rectangle is 1 more than the width. The area is 42 square inches. Find the dimensions. width: inches length: inches

One number is 9 more than twice another. Their product is 26. Find the numbers.

The product of two consecutive even integers is 56 less than 8 times their sum. Find the two integers.