Step: 1

Let x be the length of the original rope.

Step: 2

Length of each of the 7 pieces = x 7 ft

Step: 3

The variable expression for the new length of each piece is (x 7 - 2) ft.

[A length of 2 ft is cut from each of the 7 pieces.]

Correct Answer is : (x 7 - 2) ft

Step: 1

Let n be a number.

Step: 2

13 more than 8 times a number = 8n + 13.

[Write the expression.]

Step: 3

So, the variable expression for the phrase is 8n + 13.

Correct Answer is : 8n + 13

Step: 1

Let an unknown number be "n ".

Step: 2

6 times the number = 6 × n = 6n .

[Multiply.]

Step: 3

15 less than 6 times the number = 6n - 15.

[Subtract.]

Correct Answer is : 6n - 15

Step: 1

Let n represent the age of Kim's brother.

Step: 2

Twice the age of Kim's brother is 2n .

Step: 3

4 years less than twice the age of Kim's brother is 2n - 4.

Correct Answer is : 2n - 4

Step: 1

Lindsay's present salary is $4y .

Step: 2

Lindsay's savings = $(4y - 1512)

[Savings = Income - Expenditure.]

Correct Answer is : $(4y - 1512)

Step: 1

Points scored by each person = Number of hits × p - Number of missed hits × q

Step: 2

Number of hits that Paul missed = (46 - 40) = 6

[Subtract.]

Step: 3

The variable expression for the points scored by Paul is 40p - 6q .

Step: 4

Number of hits that Matt missed = (46 - 38) = 8

[Subtract.]

Step: 5

The variable expression for the points scored by Matt is 38p - 8q .

Step: 6

So, the variable expressions for the points scored by Paul and Matt are 40p - 6q and 38p - 8q .

Correct Answer is : 40p - 6q , 38p - 8q

Step: 1

[In words.]

Step: 2

[Variable expression.]

Step: 3

Variable expression for the word phrase is y 38 .

Correct Answer is : y 3 8

Step: 1

Let n be a number.

Step: 2

13 more than 8 times a number = 8n + 13.

[Write the expression.]

Step: 3

So, the variable expression for the phrase is 8n + 13.

Correct Answer is : 8n + 13

Step: 1

4x means 4 times x .

Step: 2

4x + 3 means 3 more than 4 times x .

Step: 3

So, ' 3 more than 4 times x ' is equivalent to 4x + 3 .

Correct Answer is : 3 more than 4 times x

Step: 1

8v means 8 times v .

Step: 2

8v + u means u more than 8 times v .

Step: 3

So, ' u more than 8 times v ' is equivalent to 8v + u .

Correct Answer is : u more than 8 times v

Step: 1

'Twice as long as s ' means 'Two times s '.

Step: 2

Two times s is given by 2s .

Step: 3

So, 2s is the mathematical expression for 'Twice as long as s '.

Correct Answer is : 2s

Step: 1

In the given expression, pq means product of p and q .

Step: 2

Step: 3

So, from the given options, 'Product of p and q decreased by 12' is equivalent to pq - 12.

Correct Answer is : Product of p and q decreased by 12

Step: 1

In the given expression 9x + 7, 9 is multiplied by an unknown quantity x and added by 7

Step: 2

So, from the given options, 'sum of 9 times a number and 7' is the correct answer.

Correct Answer is : sum of 9 times a number and 7

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