Step: 1

Tim buys one goldfish and 4 guppies for a total cost of $18.

Step: 2

Correct Answer is : f + 4g = 18

Step: 1

Total amount earned by the waiter for 8 hours of work = $64.

Step: 2

Tips amount for 8 hours of work = $28.

Step: 3

Therefore, the equation that can be used to determine his hourly wage is 8w + 28 = 64.

Correct Answer is : 8w + 28 = 64

Step: 1

As the number of working hours increase the amount he earns also increases at the rate of $9 / hr.

Step: 2

So, the number of hours he worked and the amount he earns is given by the relation,

Earnings = $9 x number of hours.

Earnings = $9 x number of hours.

Correct Answer is : Earnings = $9 x number of hours

Step: 1

Number of bars of soap that fit in 1 carton = 137

Step: 2

As the number of cartons increase by 1, the number of bars of soap increase by 137.

Step: 3

So, the rule representing the relationship between the bars of soap and the cartons can be given as, Number of bars of soap = 137 × Number of cartons.

Correct Answer is : Number of bars of soap = 137 × Number of cartons

Step: 1

Let n be the number of months that Jim will take to repay the total amount.

Step: 2

Cost of the car = Initial payment + (Monthly installment x Number of months)

Step: 3

990n + 1325 = 7265

[Substitute and rewrite.]

Correct Answer is : 990n + 1325 = 7265

Step: 1

Let n be the number of months taken to pay the total amount.

Step: 2

Cost of the car = Initial pay + (Monthly pay × Number of months)

Step: 3

5565 = 1485 + ( 510 × n )

[Write an equation.]

Step: 4

5565 - 1485 = 1485 + 510n - 1485

[Subtract 1485 from each side.]

Step: 5

4080 = 510n

[Simplify.]

Step: 6

[Divide each side by 510.]

Step: 7

8 = n

[Simplify.]

Step: 8

It takes 8 months for Bill to pay the total amount.

Correct Answer is : 8

Step: 1

Let f be the cost of a goldfish and g be the cost of a guppy.

Step: 2

[Write the equation.]

Step: 3

[Replace the variables with the values, given.]

Step: 4

[Multiply.]

Step: 5

[Subtracting 8 from the two sides of the equation.]

Step: 6

[Simplify.]

Step: 7

The cost of the goldfish is $2.

Correct Answer is : $2

Step: 1

Let Jimmy has m pencils.

Step: 2

Let Justin has p pencils.

Step: 3

[Write the equation.]

Step: 4

32 = 2m - 10

[Substitute the values.]

Step: 5

2m - 10 = 32

[Interchange L.H.S. and R.H.S.]

Step: 6

2m - 10 + 10 = 32 + 10

[Add 10 to both sides of the equation.]

Step: 7

2m = 42

[Simplify.]

Step: 8

[Divide throughout by 2.]

Step: 9

[Simplify.]

Step: 10

Jimmy has 21 pencils.

Correct Answer is : 21 pencils

Step: 1

Volume of a prism = base area × height

[Given.]

Step: 2

⇒ V = B × h ; where V = volume, B = base area, and h = height

[Substitute variables in step 1.]

Step: 3

Therefore, among the choices, V = Bh is the only equation that best relates the variables given.

Correct Answer is : V = Bh

Step: 1

Perimeter (P) of the pentagon varies directly with length of a side (s).

Step: 2

Therefore, P = 5s is the equation that best relates the variables.

Correct Answer is : p = 5S

Step: 1

Perimeter (P ) of the quadrilateral varies directly with length of a side (s).

Step: 2

Therefore, P = 4s is the equation that best relates the variables.

Correct Answer is : p = 4S

Step: 1

As the number of cans increase, the total weight of the box also increases.

Step: 2

Therefore, W = 118(n ) best relates the variables.

Correct Answer is : W = 118(n )

Step: 1

Ed earns $p per hour.

Step: 2

To earn $325 he has to work for h hours.

Step: 3

If he works for 1 hour he earns $p , so if he works for h hours he earns $h p .

Step: 4

So, h p = 325.

Correct Answer is : h p = 325

Step: 1

Cost of a chocolate = 10 cents

Step: 2

Cost of a cookie = 15 cents

Step: 3

(Cost of a chocolate × Number of chocolates) + (Cost of cookie × Number of cookies) = Total cost

[Verbal model.]

Step: 4

10x + 15y = 125

[Substitute the values.]

Step: 5

Correct Answer is : 10x + 15y = 125

Step: 1

Cost of a book = $6

Step: 2

Cost of a pen = $2

Step: 3

(Cost of a book × Number of books) + (Cost of a pen × Number of pens) = Total cost

[Verbal model.]

Step: 4

6x + 2y = 54

[Substitute the values.]

Step: 5

The equation that models the total cost of the books and pens Jimmy bought is 6x + 2y = 54.

Correct Answer is : 6x + 2y = 54

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