(Int) 5.6: Full Year Recap

The number of books Julio has read this year, divided by 4, is equal to 16. What is an equation that represents this situation, and how many books has Julio read?

• A. b/4 = 16: b = 64 books

• B. 4b = 16: b = 4 books

• C. 4b = 4: b = 1 book

• D. b/4 = 4: b = 16 books

What additional information proves △PQR ≅ △STU? Select all that apply.

• △PQR is a translation of △STU.

• △PQR is a dilation of △STU.

• ∠P ≅ ∠S

• ∠Q ≅ ∠T

• ∠R ≅ ∠U

The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bought for $39. You purchase 6 bottles of juice. Select all the steps that may be used when solving for the number of water bottles purchased.

• Substitute 6 for j in the equation.

• Subtract 4j from both sides.

• Divide both sides by 3.

• Multiply both sides by 3.

• Add 4j to both sides.

Points A, B, and C are collinear. If BC = 6.4 units and AC = 11.2 units, select the value of AB.

• 4.8 units

• 5.2 units

• 17.6 units

• 6.4 units

• 11.2 units

The formula for the volume V of a rectangular bathtub is V = ℓwh, where ℓ represents the length, w represents the width, and h represents the height. Rearrange the quantities in this formula to give a new formula for the width of the bathtub.

• W = Vh/ℓ

• W = ℓh/V

• W = V/(ℓh)

• W = V/(ℓh)

What are the solutions of the compound inequality? 2d + 3 ≤ -11 or 3d - 9 > 15

• d ≤ -7 or d > 8

• d ≤ -4 or d > 2

• d ≤ -7 or d > 2

• d ≤ -4 or d > 8

In △ABC, AC = BC and m∠C = 40°. Find m∠B.

**Think about isosceles triangles having two sides being equal and then the opposite angles are also equal

• 70

• 60

• 50

• 80

Ava stretched and then runs laps each day to exercise.

Complete the sentence to describe what the y-intercept of the trend line represents.

"The y-intercept of the trend line represents the..."

• time spent running laps

• time spent stretching

• total time

• first day of exercise

Triangle XYZ is rotated 90° counterclockwise about the origin to produce ΔX'Y'Z'. What are the coordinates of ΔX'Y'Z'?

• X'(1, 1), Y'(–3, 2), Z'(–2, 5)

• X'(–1, –1), Y'(3, –2), Z'(2, –5)

• X'(–1, –1), Y'(–2, 3), Z'(–5, 2)

• X'(0, 0), Y'(1, 4), Z'(4, 3)

Select all the equivalent equations that represent the annual value of an investment of $2,000 at 4% annual interest compounded quarterly.