Algebra Review

Solving Quadratic Equations

100

The graph of a quadratic equation.

What is a parabola?

200

The number of solutions of a quadratic equation.

What are 0, 1 or 2?

300

The solutions of p²-5p-14 = 0

What are -2 and 7?

400

The solution of 2x²-3x-5 = 0 using the quadratic formula 

What are 5/2 and -1?

500

The solution of x²-10x+26 = 8 by completing the square.

What are 5+sqrt(7) and 5- sqrt(7)?

Factorization

100

The GCF of 8x²+4x

What is 4x(2x+1)?

200

The factors of ab+4a-3b-12 by grouping.

What are (a-3)(b+4)?

300

The factors of 4x²-49

What are (2x+7) and (2x-7)?

400

The perfect square trinomial of (x+9)²

What is x²+18x+81?

500

The factors of 2b²+17b+21

What are (2b+3)(b+7)?

Radicals

100

Sqrt(18) simplified.

What is 3 times sqrt(2)?

200

9*sqrt(2x)-6*sqrt(5x)+8*sqrt(5x)-11*sqrt(2x)

What is -2*sqrt(2x)+2*sqrt(5x)?

300

The product sqrt(2)[sqrt(32)-sqrt(10)]

What is 8 - 2*sqrt(5)?

400

Fifth root of (-243x²⁰y¹⁰)

What is -3x⁴y²?

500

Simplified form of (sqrt(48) + 28)/4

What is sqrt(3) + 7?

Exponents

100

The base of -2⁵

What is 2?

200

The value of 4*(9x^-1y)⁰

What is 4?

300

(ab/xy)^-2 expressed as positive exponents 

What is (x²y²)/(a²b²)?

400

Simplification of (3x²y^-4z^-5)³

What is (27x⁶)/(y¹²z¹⁵)?

500

The simplified form of (2x²y³)/(4x^-3y) using only positive exponents.

What is (x⁵y²)/2?

Solving equations and inequalities

100

The interval notation of x < -9

What is (-inf, -9)?

200

The solution to -4 = r/20 - 5

What is 20?

300

The solution to –4(y + 5) = -2(y – 3) + 10

What is -18?

400

The solution to x/2+x/5 = x/6 - 1/3

What is -5/8?

500

The solution to -5n+6 >= -7(5n-6)-6n

What is n>=1?