Linear Equations II
Inequalities
Factoring
Binomials
Rational Functions
100

Determine whether (-4,7) is a solution of the system x + y = 3, and 5x - y = -27.

What is true?

100

Determine if -1 is a solution to the inequality: -3 > -9 - 2x.

What is yes?

100

Factor x3 - x2 - 30x.

What is (x+5)(x-6)?
100

Factor 12x2 - 40x - 32.

What is 4(x-4)(3x+2)?

100

Simplify: 24/30y.

What is 4/5y?

200

Determine whether the point (3,-1) is a solution of the system 3x - 4y = 13, and 6x - 8y = 26.

What is true?

200

Solve 4x - 1 ≥ 5x - 7.

What is (-∞, 6]?

200

Factor x2 - 2xy - 48y2.

What is (x+6y)(x-8y)?
200

Factor a2 + 25 + 10a.

What is (a+5)2?

200

Simply f(t) = 7t2 + 21t/14t.

What is t + 3/2?

300

Solve the system: 2x + y = 6, and 3x + 4y = 4.

What is (4,-2)?

300

Solve 16 - 7y ≥ 10y - 4.

What is (-∞, 20/17]?

300

Factor 9x2y2 + 5xy - 4.

What is (9xy-4)(xy+1)?
300

Solve 5b2 = 10b.

What is 0, and 2?

300

Simplify, and list all restrictions on the domain: g(x) = x2 + 3x - 10/2x2 - 3x - 2.

What is g(x) = x + 5/2x + 1, x≠ 1/2 and 2?

400

Solve the system y = -3x + 5, and y = -3x - 2.

What is no solution?

400

Let f(x) = 7 - 3x and g(x) = 2x - 3. Find all values of x for which f(x) ≤ g(x).

What is [2, ∞)?

400

Factor 25a2 + 30ab + 9b2.

What is (5a + 3b)2?

400

Let f(x) = 3x3 - 30x and g(x) = ax2. Find all x-values for which f(x)=g(x). 

What is 0, -2, and 5?

400

Simplify 4 - t/ 3t - 12.

What is -1/3?

500

Solve the system a - 1/2c = 6, and c + 2a = 8.

What is (5,-2)?

500

Solve 5[3m - (m + 4)] > -2(m - 4). 

What is (7/3,∞)?

500

Factor -18y2 + y3 + 81y.

What is y(y-9)2?

500

Find the domain of f if f(x) = x - 2/x2 + 2y - 15.

What is (-∞,-5)∪(-5,3)∪(3,∞)?

500

Divide, and simplify if possible: x - 2/x + 1 ÷ x + 5/ x - 3. 

What is (x - 2)(x - 3)/(x + 1)(x + 5)?

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