Unit Test Answers

Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone. Which equation can be used to determine r, Giulia’s rate of work in parts per hour?

Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?

The tables represent the functions f(x) and g(x).

What is the value of p in the proportion below?

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

Step 1: –10 + 8x < 6x – 4Step 2: –10 < –2x – 4Step 3: –6 < –2xStep 4: ________

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 113x – 4 = 3x + 4

What is the value of n in the equation ?

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.

Fiona solved the equation shown. – (6x – 3) = –

The cost of toothpaste is $6.00 for 3 tubes. At this rate, how much do 12 tubes of toothpaste cost?

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.

How can you solve for x in the proportion ?

What is the solution to the linear equation? + p = + p

Solve the equation.y + 3 = –y + 9

It took Amir 2 hours to hike 5 miles. On the first part of the hike, Amir averaged 3 miles per hour. For the second part of the hike, the terrain was more difficult so his average speed decreased to 1.5 mile per hour.

On Monday, the Dairy Barn sold 14 waffle cones for every 6 sugar cones. On Tuesday, the Dairy Barn sold 7 waffle cones for every 3 sugar cones. Which proportion can be used to represent the cone sales?

A group of 32 players forms 4 volleyball teams. If there are 96 players, how many teams can be formed?

What is the value of x in the equation ?

Sonny substituted 5 for x in the proportion and cross multiplied to get . Why is this?

Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?

Solve the inequality.2(4x – 3) ≥ –3(3x) + 5x?

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.