ParaPro Assessment Test Algebra and Patterns

Question 1

Which expression represents 'seven less than three times a number n'?

Accepted Answer

3n − 7

Answer

'Three times a number n' is 3n, and 'seven less than' means subtract 7 from it, giving 3n − 7.

Question 2

What is the value of 4x − 3 when x = 5?

Accepted Answer

17

Answer

Substitute x = 5: 4(5) − 3 = 20 − 3 = 17.

Question 3

A number pattern begins: 3, 7, 11, 15, … What is the next number?

Accepted Answer

19

Answer

Each term increases by 4. Adding 4 to 15 gives 19.

Question 4

Solve for y: 2y + 6 = 18

Accepted Answer

y = 6

Answer

Subtract 6 from both sides: 2y = 12. Divide both sides by 2: y = 6.

Question 5

If a = 3 and b = 4, what is the value of 2a² − b?

Accepted Answer

14

Answer

2(3²) − 4 = 2(9) − 4 = 18 − 4 = 14.

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