CFA 1 Review

The total number of miles, d, Elise walks in n hours can be modeled by the equation d = ns. Her rate stays the same each hour. Which represents the number of miles Elise walks per hour?

• d

• ds

• n

• nd

The amount of stretch of a hanging spring versus the mass attached to the bottom of the spring was measured for different masses. The results are shown in the table.

What is the constant of proportionality between the mass and the amount of stretch?

• 0.5 centimeters per gram

• 0.5 grams per centimeter squared

• 2.0 centimeters per gram

• 2.0 grams per centimeter squared

Which equation(s) represent(s) proportional relationship(s) with a constant of proportionality equal to -2? Select ALL that apply.

• y=2x

• y=-2x

• 2y=-2x-2

• 2y=-4x

• y=x-2

Kelly works in a grocery store stocking shelves. The graph shows the money Kelly earns stocking shelves.

Which equation represents the money Kelly earns in relationship to the hours she works? Let m represent the money she earns, and h represent the number of hours she works.

• (6)h = m

• h = (8)m

• h = m

• (8)h=m

The graph represents the water level of a tank after an inlet pipe is turned on.

Two students explain the meaning of points (0, 0) and (1, 2).

Kelvin says point (0, 0) means the tank is empty when the inlet pipe is turned on.

Paige says point (1, 2) means the water level of the tank goes up by 2 inches every minute.

Who is correct?

• both Kelvin and Paige

• neither Kelvin nor Paige

• only Kelvin

• only Paige

Mr. Hamilton went to Reily's Steakhouse for dinner. The table shows the relationship between the number of steaks and the cost. Which statement(s) is (are) true? Select ALL that apply.

• At Reily's Steakhouse, 1 steak costs $13.99.

• At Reily's Steakhouse, 5 steaks costs $64.95.

• The equation which represents this relationship is c = 10.99s + 4.

• The equation which represents this relationship is c = 12.99s.

• There is a proportional relationship between the number of steaks and the cost.

Greeting cards (c) and gift bags (b) are the same price (p). Cassie purchased greeting cards and gift bags, the price of which can be expressed by p(c+b). Select all the expressions that also represent the price of the greeting cards and gift bags.

• pcb

• pc + b

• pc + pb

• (b + c)p

The formula used to convert Fahrenheit (°F) to Celsius (°C) is shown.

Which represents the Celsius conversion of 77°F?

• 19°C

• 25°C

• 109°C

• 381°C

Marshall has a rectangular garden that he wants to enclose with a fence. To calculate the perimeter, he used the expression below, where w represents the width and l represents the length of the garden.

2w+2l

Which other expression could Marshall use to calculate the perimeter?

• wl

• 2wl

• 2(w+21)

• 2(w+l)

Which equation and number line show that a number and its opposite are additive inverses?

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