Unit 9 Test Review

Which of the following is the best model to find the area of Triangle ABC?

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Which of the following sets of side lengths, in inches, will form a triangle?

• 3.5, 7.2, and 3.0

• 3.2, 5.9, and 4.5

• 10.0, 4.6, and 5.3

• 5.5, 4.9, and 10.5

Nell was baking a cake for her sister’s birthday party. While baking the cake she needed to convert tablespoon measurements to teaspoons. The table below shows the relationship between the number of tablespoons and the number of equivalent teaspoons.

If Nell’s recipe called for 12.5 tablespoons of one ingredient, how many teaspoons should she use?

• 4.17 teaspoons

• 37.5 teaspoons

• 16.5 teaspoons

• 22.5 teaspoons

Carl was working on an art project. One portion of the design will call for a rectangle that is painted half white and half red along a diagonal, as shown below.

If the height of the rectangle is 30.2 cm and the area painted red is 758.02 cm², what is the length of the rectangle in centimeters?

• 15.1 cm

• 379.01 cm

• 50.2 cm

• 30.2 cm

A painting company is going to paint a crosswalk at an intersection. Because the intersection of the streets is not a 90o angle, the stripes on the crosswalk will be identical parallelograms as shown below.

Each can of paint used for painting the stripes will cover 2 m2. The painting company will buy full cans of paint. How many cans of paint will be needed to paint the five stripes?

• 1 can

• 6 cans

• 3 cans

• 24 cans

Macie has a sandbox with the dimensions shown below.

Her dad added additional slats of wood to all four sides of the sandbox to make the height of each side of the sandbox 5 inches taller. Then he filled 5/8 of the sandbox with sand. Which equation can be used to find the volume of the sand in the sand box?

• V = (12.8 + 5 1/2)(24.5)(36.75)

• V = 7/8(12.8)(24.5)(36.75)

• V = 7/8(12.8 + 5 )(24.5)(36.75)

• V = 7/8(12.8 + 5 )(24.5 + 5)(36.75 + 5 )

Triangle ABC is shown below.

Based on the information given in Triangle ABC, which statement is true?

• Angle C is larger than angle A.

• Angle B is larger than angle C.

• Angle A is larger than angle B.

• Angle C is larger than angle B.

An artist is using tiles in various geometric shapes to make a mosaic. The two tiles she plans to use are shown below.

If the two tiles have the same area, what is the length of the triangle’s base?

• 24 inches

• 8 inches

• 16 inches

• 12 inches

The parallelogram below was made by joining two identical trapezoids.

Which of the following formulas can be used to model the area of one of the trapezoids in the parallelogram?

• A = 1/2(12)3

• A = 1/2(12 + 12)3

• A = 1/2(12)6

• A = 1/2(12+12)6

Ole has a window that has the dimensions and shape like the trapezoid shown below.

He also has a large rectangular piece of poster board that measures 25 in. by 60 in. If Ole cuts out a piece of poster board that is exactly the same size as the window, which equation can be used to calculate the amount of poster board that will be left over?

• A = 1/2(30 + 50 1/2)(15.5) - (25 ∙ 60)

• A = (25 ∙ 60) + 1/2(30 + 50 1/2 )(15.5)

• A = (25 ∙ 60) - (30 + 50 1/2 )(15.5)

• A = (25 ∙ 60) - 1/2(30 + 50 1/2 )(15.5)