TSIA Math Practice Quiz

Δ ABC is similar to Δ UVW. Use proportions to solve for the missing side length x. Provide the proportions used and the value of x.

• x = 8

• x = 0.5

• x = 12

Answer explanation

Setting up the proportion is the most important part! Make sure you know which side of the triangle corresponds with the similar triangle!

Δ ABC is similar to Δ UVW. Use proportions to solve for the missing side length y. Provide the proportions used and the value of y.

• y = 6

• y = 1.5

Andre buys some shoes online for $32.00 per pair including tax, and the shipping is $4.00. If he decides to buy more pairs of those same shoes and it doesn't change the shipping cost, how many can he buy with $100.00?

Answer explanation

(100-4)/32 = 3

Use complementary angles to solve for the value of x.

• x = 9

• x = 7

• x = 4

• x = 11

Answer explanation

Complementary angles add up to 90 degrees (also known as π/2). Equation to solve: 4x + 7x - 9 = 90

Use complementary angles to solve for the value of angle CBD.

• 45°

• 54°

• 36°

• 63°

Answer explanation

Solve for x: 4x+7x-9=90. Evaluate the specified angle.

Use complementary angles to solve for the value of angle ABD.

• 45°

• 54°

• 36°

• 63°

Answer explanation

Solve for x: 4x+7x-9=90. Evaluate the specified angle.

Hint: use vertical angles and supplementary angles to solve for the measure of angle BAC. In the figure below, C is the intersection of AD and BE. If it can be determined, what is the measure of angle BAC?

• A. 80°

• B. 100°

• C. 110°

• D. 115°

• E. Cannot be determined from the given information

Answer explanation

Use vertical angles to get 45. Supplementary angles add up 180 degrees. 180-35-45=100

Convert 30° to Radians.

Translate shape up 2 and right 3. Draw the new shape.

Answer explanation

These are translations, so the shape is the same size as before, just moved.

Find x in this 45-45-90 triangle.

Answer explanation

Divide 88 by sqrt(2) then rationalize it to simplify to answer.