Algebraic Functions and Their Applications Quiz

Test your algebra skills with questions on linear functions, inequalities, derivatives, and more. Challenge yourself with these algebraic problems.

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Which of the following is a linear function?

y = x^2

y = 2x + 3

y = e^x

y = sin(x)

Solve for x: 2x + 5 = 13

x = 4

x = 5

x = 6

x = 7

If f(x) = 3x - 2, find f(4).

What is the domain of the function g(x) = sqrt(2x - 5)?

x ≥ 5/2

x > 5/2

x ≤ 5/2

x < 5/2

Simplify the expression: (2x^2 - 5x + 3) / (x - 1)

2x + 3

2x - 3

x - 2

2x - 2

If k(x) = |2x - 7|, what is the range of k?

k ≥ 0

k > 0

k ≤ 7

k < 7

Solve the inequality: 2x - 7 > 3x + 1

x < -8

x > -8

x < 8

x > 8

Find the sum of the roots of the quadratic equation: x² - 6x + 9 = 0.

If q(x) = 4x² - 16, what is the vertex of the parabola represented by q?

(0, -16)

(4, 0)

(0, -4)

(2, -12)

#10

If h(x) = (x + 1)/(x - 3), find the vertical asymptote.

x = 1

x = 3

x = -1

x = 0

#11

Evaluate the expression: log₂(16) + log₂(8)

#12

If p(x) = x³ - 4x² + 5x - 2, find the critical points of p.

x = 1, x = 2

x = 2, x = 3

x = 1, x = 3

x = 1, x = 4

#13

Find the inverse function of f(x) = 2x + 4.

f⁻¹(x) = (x - 4)/2

f⁻¹(x) = (x + 4)/2

f⁻¹(x) = (x - 4)/(-2)

f⁻¹(x) = (x + 4)/(-2)

#14

If m(x) = e^(3x), what is the derivative of m with respect to x?

3e^(3x)

3e^(2x)

e^(3x)

e^(2x)

#15

Evaluate the limit as x approaches 2 for the function: f(x) = (x² - 4) / (x - 2)

#16

If n(x) = 2^(4x), what is the logarithmic form of n?

log₂(2)

log₂(4x)

log₂(2^4)

log₂(x)