NBT Mathematics Algebra

Question 1

Solve for x: 3x + 7 = 22.

Accepted Answer

x = 5

Answer

Subtract 7: 3x = 15. Divide by 3: x = 5.

Question 2

Simplify: 2(x + 4) + 3x.

Accepted Answer

5x + 8

Answer

Expand: 2x + 8 + 3x. Combine like terms: 5x + 8.

Question 3

Factorise fully: x^2 - 9.

Accepted Answer

(x + 3)(x - 3)

Answer

x^2 - 9 is a difference of two squares: x^2 - 3^2 = (x + 3)(x - 3).

Question 4

If f(x) = 2x - 5, what is f(4)?

Accepted Answer

3

Answer

Substitute x = 4: f(4) = 2(4) - 5 = 8 - 5 = 3.

Question 5

Solve the inequality: x - 6 < 2.

Accepted Answer

x < 8

Answer

Add 6 to both sides: x < 8.

National Benchmark Test (NBT) Practice Test