ParaPro Assessment Test Algebra and Patterns — Questions and Answers
Question 1: Which expression represents 'seven less than three times a number n'?
- 7 − 3n
- 3n − 7 (Correct answer)
- 3(n − 7)
- 7 − n + 3
Correct answer: 3n − 7
'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?
- 7
- 17 (Correct answer)
- 22
- 12
Correct answer: 17
Substitute x = 5: 4(5) − 3 = 20 − 3 = 17.
Question 3: A number pattern begins: 3, 7, 11, 15, … What is the next number?
- 17
- 18
- 19 (Correct answer)
- 20
Correct answer: 19
Each term increases by 4. Adding 4 to 15 gives 19.
Question 4: Solve for y: 2y + 6 = 18
- y = 3
- y = 6 (Correct answer)
- y = 12
- y = 9
Correct answer: y = 6
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?
- 10
- 14 (Correct answer)
- 34
- 2
Correct answer: 14
2(3²) − 4 = 2(9) − 4 = 18 − 4 = 14.
Question 6: Which equation has the solution x = 7?
- x + 9 = 15
- 3x − 4 = 17 (Correct answer)
- x/2 = 14
- 2x + 1 = 16
Correct answer: 3x − 4 = 17
3(7) − 4 = 21 − 4 = 17. ✓ The other equations do not equal their right-hand sides when x = 7.
ParaPro Assessment Test Algebra and Patterns
Which expression represents 'seven less than three times a number n'?