Algebraic reasoning

Question 1 of 10

Evaluate log₂ 32.

Question 2 of 10

The sum of a number and its reciprocal is 10/3. Find the number.

Question 3 of 10

Solve x² = 5x.

Question 4 of 10

Simplify (a³b²)/(ab).

Question 5 of 10

If 2ˣ = 16, find x.

Question 6 of 10

Form a quadratic equation whose roots are 2 and −3.

Question 7 of 10

If a ∗ b = a² − b, evaluate 3 ∗ 4.

Question 8 of 10

What is the sum of the roots of x² − 9x + 14 = 0?

Question 9 of 10

If 4^(x) × 2^(x + 1) = 32, find x.

Question 10 of 10

If f(x) = x² + 1 and g(x) = 2x, find f(g(3)).