Benchmark #1 22-32

The triangles below are similar.

Which statement about the triangles is true?

• The corresponding angles are congruent, and the corresponding sides are proportional.

• The corresponding angles are congruent, and the corresponding sides are congruent.

• The corresponding angles are proportional, and the corresponding sides are proportional.

• The corresponding angles are proportional, and the corresponding sides are congruent.

Haley’s recipe calls for 5.5 cups of an ingredient. Her measuring bowl only has measurements marked in liters. Haley knows that one cup is approximately 240 milliliters. Which measurement is closest to the number of liters of the ingredient that Haley needs for her recipe?

• 0.04 liters

• 1.3 liters

• 2.3 liters

• 0.2 liters

George is carrying a box that weighs 12 pounds 7 ounces. There are approximately 28.35 grams in 1 ounce. Which measurement is closest to the amount of weight George is carrying in kilograms?

• 5641.65 kg

• 7.02 kg

• 5.642 kg

• 538.65 kg

So far this month Raul calculated that he will earn $30 in commission for his $200 in product sells. If Raul would like for his commission to be $132, how much more does he need in sales?

• $680

• $102

• $880

• $588

Marcella bought a 25-ounce bottle of olive oil for $5.88. She used 60% of the olive oil in two weeks. Which of the following is closest to the cost of the oil she used?

• $0.24

• $0.39

• $2.35

• $3.53

The cost of Mr. Patten's car insurance increased by 5% to $86.82 per month. What was the cost of his insurance before it increased?

• $91.16

• $82.69

• $82.48

• $81.82

Joe was comparing sale prices of two stores at the mall to decide where to buy his new jeans. The two stores' sale banners are shown below.

If Joe plans to buy 1 pairs of jeans, which store offers a better deal after the discount? 

• Store A, because Store B is more expensive after discount.

• Store B, because Store A is more expensive after discount.

• Store A, because Store B is less expensive before discount.

• Store B, because Store A is less expensive before discount.

The graph below shows the cost per hour for renting a jet ski at the lake.

Which equation represents the same constant of proportionality shown in the graph?

• c=25h

• c=12.5h

• c=50h

• c=5h

Tamara is using 2 kinds of juice to mix punch for a party. The table below shows the cups of juice for different numbers of servings.

What is the constant of proportionality that defines this relationship?

• For every 5 cups of orange juice there are 7 cups of pineapple juice.

• For every 3 cups of orange juice there are 5 cups of pineapple juice.

• For every 1 cup of orange juice there are 2 cups of pineapple juice.

• For every 2 cups of orange juice there are 3 cups of pineapple juice.

Haley bought 1.6 pounds of almonds for $13.20. How much did she pay per pound for the almonds?

• $11.60

• $8.25

• $21.12

• $0.12