Algebraic reasoning

Question 1 of 10

If 4^(x) × 2^(x + 1) = 32, find x.

Question 2 of 10

Find the sum of the roots of 3x² − 6x + 1 = 0.

Question 3 of 10

Solve |2x − 3| = 7.

Question 4 of 10

Find the inverse of f(x) = 3x − 2.

Question 5 of 10

Solve x² = 5x.

Question 6 of 10

If x − 1/x = 3, find x² + 1/x².

Question 7 of 10

If α and β are roots of x² − 5x + 3 = 0, find 1/α + 1/β.

Question 8 of 10

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

Question 9 of 10

Evaluate log₂ 32.

Question 10 of 10

Simplify (a³b²)/(ab).