Benchmark Review

Lisette just got a job selling cosmetics. She has been given 2 salary options: option A

is a fixed salary of $500 per week, while option B is a base salary of $200 per week

plus a commission of 5% of her weekly sales. Which inequality provides x, the

weekly sales, in dollars, that Lisette may generate so that option B is the better

option?

• 500x ≥ 200x + 5

• 500x ≤ 200x + 5

• 500 ≤ 200 + 0.05x

• 500 ≥ 200 + 0.05x

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x -

3 can be used to represent this situation, where y is the depth of the fish in meters

below sea level and x is the number of seconds the fish has been swimming.

Which statement best describes the depth of the fish, given this equation?

• From a starting position of 7 meters below sea level, the fish is descending 3

  meters per second.

• From a starting position of 7 meters below sea level, the fish is ascending 3

  meters per second.

• From a starting position of 3 meters below sea level, the fish is descending 7

  meters per second.

• From a starting position of 3 meters below sea level, the fish is ascending 7

  meters per second.

• y= 3x + 3

• y= 3x - 1

• y = 1/3x + 3

• y= 1/3x - 1

In a smoothie the ratio of ounces of blueberries to ounces of yogurt is 4 to 5.

How many ounces of yogurt would be needed for a smoothie with 10 ounces of

blueberries?

• 8 ounces

• 12 ounces

• 12.5 ounces

• 20 ounces

A baker has 108 pastries to be put equally in boxes. Select all the statements that

are true.

• There are 99 pastries in each box.

• There are 12 pastries in each box.

• There are 11 pastries in each box.

• The number of pastries per box can be represented by the ratio 12:1

• The number of pastries per box can be represented by the ratio 11:1

What is the solution of the inequality 2/5x − 4 < 26?

• x < 75

• x < 55

• x < 30

• x < 12

What is the value of x in the equation 0.02x + 0.7 = 0.8?

• 0.5

• 2

• 5

• 50

Liz is a salesperson at a department store. She gets paid an hourly wage plus a 5

percent commission on all her sales. Her pay is given by the formula below.

P = $6h + $0.05k

In this formula, h is the number of hours worked, and k is the dollar amount of sales.

Liz worked 36 hours last week and sold $2,700 of merchandise. What was her total

pay for the week?

• $351

• $412

• $469

• $531

• $0.85 for every muffin sold

• $1.00 for every muffin sold

• $1.15 for every muffin sold

• $1.18 for every muffin sold

• y = x/25

• y = 25x

• y=x/50

• y = 50x