Algebra 2 Honors Final Review 2025 Day 3-5

When the sun shines at a 60° angle to the ground, Talisa’s shadow is 36 in. long. To the nearest inch, how tall is Talisa?

• 21 inches

• 18 inches

• 31 inches

• 42 inches

What is another way to represent an angle in standard position that has a measure of 530°?

• 370°

• 170°

• 10°

• -10°

• -170°

A car is on a Ferris wheel with a radius of 20 feet. To the nearest foot, how far does the car travel over an angle of π/3 radians?

• 21 feet

• 12 feet

• 35 feet

• 42 feet

• (a) x = log(8)/log(3); (b) x ≈ 1.893

• (a) x = log(3)/log(8); (b) x ≈ 0.530

• (a) x = log(8)/log(2); (b) x ≈ 3.000

• (a) x = log(2)/log(3); (b) x ≈ 0.631

What is the solution to the equation log₃(2x - 3) = -1?

• x = 1

• x = 0

• x = 2

• x = -1

• (a) x = log(8)/log(3); (b) x ≈ 1.893

• (a) x = log(3)/log(8); (b) x ≈ 0.530

• (a) x = log(8)/log(2); (b) x ≈ 3.000

• (a) x = log(2)/log(3); (b) x ≈ 0.631

Solve the equation 8^(x+1) = 2^(x-5) by using a common base.

• x ≈ 4.64

• x ≈ 2.00

• x ≈ 6.32

• x ≈ 1.25

Multiply and divide rational expressions. Simplify: 1. (4x + 6) / (2x + 3)

• 2

• 4x

• x + 3

• 2x + 3

• 3(x + 2)/(x - 3)

• (x + 2)/(x - 3)

• 3(x - 2)/(x + 3)