Question 1

Rewrite the problem as a multiplication problem.
-70 ÷ 7 = x

Accepted Answer

To rewrite the division problem 70 ÷ 7 = x as a multiplication problem, you can use the inverse operation of division, which is multiplication. Thus, the equation becomes 70 = x · 7, indicating that x is the result of dividing 70 by 7.

Question 2

Find the solution.
-3x + 3 = x + 19

Accepted Answer

The answer of Find the solution.
-3x + 3 = x...

Question 3

Find the solution.
-4x + 9 = 25

Accepted Answer

The answer of Find the solution.
-4x + 9 = 25
...

Question 4

Use the distributive property to factor the following.
-$$x ^ { 2 } y - x y ^ { 2 }$$

Accepted Answer

The distributive property allows factoring out the common term $xy$, resulting in $xy(x - y)$.

Question 5

Solve the problem.
-The teacher distributed 104 books between 19 students and had some left over. If she gave each student the same number of books, then how many were left with her?

Accepted Answer

The answer of Solve the problem.
-The teacher distributed 104 books...

Question 6

Solve the problem.
-Mary had 8 strings of beads, each having 175 beads. She restrung them such that she had 5 strings, each having the same number of beads again. How many beads did she have on each string?

Accepted Answer

Initially, Mary had a total of 8 * 175 = 1400 beads. When she restrung them into 5 strings with an equal number of beads on each, each string had 1400 / 5 = 280 beads.

Question 7

Rewrite the problem as a multiplication problem.
-476 ÷ m = 7

Accepted Answer

To rewrite the division problem 476 ÷ m = 7 as a multiplication problem, you rearrange the equation to solve for m, which gives you 476 = 7 · m. This shows that 476 is equal to 7 times m.

Question 8

Find the solution.
-4(x + 4) = 28

Accepted Answer

First, distribute the 4 across the parentheses: 4x + 16 = 28. Then, subtract 16 from both sides to get 4x = 12. Finally, divide both sides by 4 to solve for x, which gives x = 3.

Question 9

Solve the problem.
-The product of two whole numbers is 196. If one number is four times the other number, what are the numbers?

Accepted Answer

The numbers are 7 and 28 because 7 x 28 = 196, and 28 is four times 7.

Question 10

Solve the problem.
-Sarah has a collection of marbles. She notices that if she borrows 4 marbles from a friend, then she can arrange the marbles in rows of 13 each. What is the remainder when she divides her original
Number of marbles by 13?

Accepted Answer

The answer of Solve the problem.
-Sarah has a collection of...

Question 11

Use the distributive property to factor the following.
-$$( y + 1 ) x - ( y + 1 )$$

Accepted Answer

The expression $( y + 1 ) x - ( y + 1 )$ can be factored by taking out the common factor $( y + 1 )$, resulting in $( y + 1 ) ( x - 1 )$.

Question 12

Find the solution.
-(x - 7) ÷ 5 = 9

Accepted Answer

(x - 7) ÷ 5 = 9(x - 7) = 9 × 5(x - 7) = 45x = 45 + 7x = 52

Question 13

Rewrite the problem as a multiplication problem.
-n ÷ m = p

Accepted Answer

To rewrite the division problem n ÷ m = p as a multiplication problem, you rearrange the equation to solve for n, which gives n = p · m. This means that n is the product of p and m.

Question 14

Rewrite the problem as a multiplication problem.
-52 ÷ 4 = 13

Accepted Answer

Dividing by a number is the same as multiplying by its reciprocal. Thus, 52 divided by 4 equals 13 can be rewritten as 52 equals 13 times 4.

Question 15

Solve the problem.
-The height of the tower is 9 times the height of the building next to it. If the tower is 36,000 ft tall, then what is the height of the building?

Accepted Answer

The answer of Solve the problem.
-The height of the tower...

Question 16

Rewrite the problem as a multiplication problem.
-n ÷ m = 30

Accepted Answer

The answer of Rewrite the problem as a multiplication problem.
-n...

Question 17

Find the missing numbers.
-

Accepted Answer

The answer of Find the missing numbers.
-

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Question 18

Solve the problem.
-James doubled his profit compared with that of last year. Last year he doubled his profit from the previous year. If his profit this year was $12,000, then what was his profit last year and the year Before that?

Accepted Answer

James's profit this year is $12,000, which is double last year's profit. Therefore, last year's profit was $12,000 / 2 = $6,000. Since last year he doubled his profit from the previous year, the profit from the year before last was $6,000 / 2 = $3,000.

Question 19

Solve the problem.
-3 times Gail's salary is equal to 6 times Nancy's salary. If Gail's salary is $28,200, what is Nancy's salary?

Accepted Answer

Gail's salary is 3 times Nancy's salary, so the equation is 3G = 6N. Given G = $28,200, substituting gives 3(28,200) = 6N. Solving for N gives N = $14,100.

Question 20

Solve the problem.
-For every hundred miles that you fly, the airline company gives you 10 points. If you made a trip of 800 miles, then how many points did you earn?

Accepted Answer

For every 100 miles, you earn 10 points. Therefore, for 800 miles, you earn (800/100) * 10 = 80 points.

Quiz 3: Numeration Systems and Whole Number Operations

Rewrite the problem as a multiplication problem. -70 ÷ 7 = x

Find the solution. -3x + 3 = x + 19

Find the solution. -4x + 9 = 25

Use the distributive property to factor the following. - $x ^ { 2 } y - x y ^ { 2 }$

Solve the problem. -The teacher distributed 104 books between 19 students and had some left over. If she gave each student the same number of books, then how many were left with her?

Solve the problem. -Mary had 8 strings of beads, each having 175 beads. She restrung them such that she had 5 strings, each having the same number of beads again. How many beads did she have on each string?

Rewrite the problem as a multiplication problem. -476 ÷ m = 7

Find the solution. -4(x + 4) = 28

Solve the problem. -The product of two whole numbers is 196. If one number is four times the other number, what are the numbers?

Solve the problem. -Sarah has a collection of marbles. She notices that if she borrows 4 marbles from a friend, then she can arrange the marbles in rows of 13 each. What is the remainder when she divides her original Number of marbles by 13?

Use the distributive property to factor the following. - $( y + 1 ) x - ( y + 1 )$

Find the solution. -(x - 7) ÷ 5 = 9

Rewrite the problem as a multiplication problem. -n ÷ m = p

Rewrite the problem as a multiplication problem. -52 ÷ 4 = 13

Solve the problem. -The height of the tower is 9 times the height of the building next to it. If the tower is 36,000 ft tall, then what is the height of the building?

Rewrite the problem as a multiplication problem. -n ÷ m = 30

Find the missing numbers. - $Find the missing numbers. - A) ( a ) = 3 , ( b ) = 8 , ( c ) = 6 , ( d ) = 6 B) ( \mathrm { a } ) = 2 , ( \mathrm {~b} ) = 7 , ( \mathrm { c } ) = 5 , ( \mathrm {~d} ) = 5 C) ( a ) = 2 , ( b ) = 6 , ( c ) = 5 , ( d ) = 6 D) ( a ) = 1 , ( b ) = 6 , ( c ) = 4 , ( d ) = 4$

Solve the problem. -James doubled his profit compared with that of last year. Last year he doubled his profit from the previous year. If his profit this year was $12,000, then what was his profit last year and the year Before that?

Solve the problem. -3 times Gail's salary is equal to 6 times Nancy's salary. If Gail's salary is $28,200, what is Nancy's salary?

Solve the problem. -For every hundred miles that you fly, the airline company gives you 10 points. If you made a trip of 800 miles, then how many points did you earn?