Algebra 2 – Cumulative Review

Polynomials, Factors, and Graphs

100

What is the degree of the polynomial 3x⁴ - 2x³ + 7x - 5?

What is 4?

200

Find the zeros of the polynomial x² - 4.

What are 2 and -2?

300

Find (2x²+3)² in standard form.

What is 4x⁴ + 12x² + 9?

400

Find the zeros of the polynomial x³ + 3x² + 2x.

What are 0, -1, and -2?

500

Describe the formal end behavior of -(x+1)³ 

What is:
As x → -∞, f(x) → ∞
As x → ∞, f(x) → -∞

Radicals, Roots, and Exponents

100

Simplify 2024⁰

What is 1?

200

Simplify 216^1/3

What is 6?

300

Simplify (3² • 3^2/3)^3/2

What is 81?

400

Simplify (5² / 8²)^-1/2

What is 8/5?

500

Simplify ((5³ • 5²) / 5⁶)^-4

What is 625?

Multiplying/Dividing Rational Expressions

100

Multiply 5xy • 15x²y²

What is 75x³y³?

200

Divide 81abc ÷ 27a²b²

What is 3c/ab?

300

Multiply (4y² / 9x) • (27 / 16xy²)?

What is 3 / 4x²?

400

Divide (4x²y³ / x⁵y⁶) ÷ (20x³ / xy)

What is 1 / 5x⁵y²?

500

Divide ((x²+2x-3) / (x+2)) ÷ ((x² - 1) / (x² + 2x))

What is x(x+3)/(x+1)?

Adding/Subtracting Rational Expressions

100

Add 2/3x + 5/3x

What is 7/3x?

200

Subtract 1/2 - 2/7

What is 3/14?

300

Add 5/x + 2/3x²

What is (15x + 2) / 3x²?

400

Subtract 6 - (5 / (x+3))

What is (6x + 13) / (x + 3)?

500

Simplify 1/3 + 3/x - 4/x²

What is (x² + 9x - 12) / (3x²)?

Completely Complex Fractions

100

Simplify (1/2) over (3/4)

What is 2/3?

200

Simplify (1/2 + 1/4) over (1/3 + 1/6)

What is 3/2?

300

Simplify (1 + 1/x) over (1 - 1/x)

What is (x + 1) / (x - 1)?

400

Simplify ((x² - 9) / (x + 1)) over ((x + 3) / (x² - 1))

What is (x-3)(x-1) or x² - 4x + 3?

500

Simplify (4 / (x² - 25)) over ((1/(x+5)) + (1/(x-5)))

What is 2/x?