Question

Select the choice that translates the following verbal phrase correctly to algebra:

w increased by 15


15w

15 − w

w + 15

w ÷ 15
2.

Select the choice that translates the following verbal phrase correctly to algebra:

the product of 12 and y increased by 11


12(y + 11)

12y + 11

12+ 11y

12(11y)
3.

Select the choice that translates the following verbal phrase correctly to algebra:

one half of a number decreased by 16


n minus 16 over 2

one half n − 16

one half (n − 16)

n − one half (16)
4.

Corinne is 6 years younger than her brother. Which of the following expressions shows the sum of their ages if b represents Corinne's brother's age?


b − 6

2b − 6

2(b − 6)

b ÷ 6
5.

Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. Which of the following expressions best represents Jill's income for the week?


9 + 40h

9 + h + 40

9h + 40

9 + 40

Answer 1

w + 15 since increased by 15 means add on

12y + 11 since product of 12 and y means multiply 12 and y = 12y

one half n - 16 since one half of n and decreased by 1 6 , subtract 16

2b - 6 since Corinne is 6 years younger represented by b - 6

sum of their ages = b + b - 6 = 2b - 6

9h + 40

$ 9 per hour for h hours = 9 × h = 9h plus the $ 40 from carpool

Answer 2

The choices that most adequately convert the given phrases to algebra:

1). - c). w + 15

2). - b). 12y + 11

3). - b). One-half n − 16

4). - b). 2b - 6

5). - c). 9h + 40

The given statements are translated into linear equations in one variable as mentioned above.

1). Given that,

variable = w

It is increased by 15.

Thus,

w + 15 is the answer.

2). Given that,

Number = 12

Variable = y

The product of 12 and y = 12y

Now,

12y is increased by 11

so,

12y + 11 is the answer.

3). Given that,

one-half of a number

Let n be the number

n is decreased by 16 = -16

Thus,

(One-half n - 16) is the answer

4). Given that,

Age of Connie's brother = b

so,

Connie's age = b - 6                   (∵ 6 years younger)

Sum of their ages = b + (b - 6)

Thus,

2b - 6 is the answer.

5). Given that,

Jill's earning from carpool = $40

His earning from babysitting = $9 per hour

Thus,

His total earning = 9h + 40

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