Math (Algebra 2+)

Fractions

100

Simplify 1/x + 1

(1+x)/x

200

The simplified version of (3/x)+2

What is (2x+3)/x

300

((x - 1) / x) - 2x

(-2x² + x - 1)/x

400

Simplify ((3x+2)/2) / (6x+4/4)

1

500

Simplify (6x² + 13x + 6) / (4x+6)

(3x+2)/2

Composites and other operations

100

Find f(g(15)) if f(x) = 3x - 2 and g(x) = x/3

13

200

f(x) = 3x⁴ - 7x + 4 and f(x) = -x² + 5x -1

Find (f + g)(x)

3x⁴ - x² - 2x + 3

300

If f(x) = x² – 3 and g(x) = x – 1 find g(f(x)) and f(g(x))

g(f(x)) = x² – 4

f(g(x)) = x² – 2x – 2

400

f(x) = (8x³ + 3) and g(x) = (x¹² + 5)/3

Find f(g(-1))

67

500

f(t) = t³ - 4 and g(t) = t²+1 

Find f(t) x g(t)

t⁵ + t³ - 4t² - 4

Factoring

100

Factor x² + 2x - 15

(x + 5) (x - 3)

200

Factor 2x² - 18x + 36

2(x - 3)(x - 6)

300

Factor 16x² - 81

(4x - 9) (4x + 9)

400

Factor 6x² + 13x + 6

(3x + 2)(2x + 3)

500

In the expression 15x² − kx − 14 , k is an integer.
If (5x + 2) is a factor of the expression, what is the value of k?

k = 29

Exponents

100

Simplify (x³)² * x⁴

x¹⁰

200

3^x-4 = 9 Determine the value of x

x = 6

300

Simplify (r³)⁴/r⁶

r⁶

400

9^3x = 3^{2x - 12}

x = -3

500

For any positive value of x, if (x^h)(x^k) = 1, what must h and k add to?

0