LLN Algebra and Patterns

Question 1

Solve for x: 3x + 5 = 26

Accepted Answer

7

Answer

Subtract 5 from both sides to get 3x = 21, then divide by 3 to get x = 7.

Question 2

What is the rule for the nth term of the pattern 4, 7, 10, 13, ...?

Accepted Answer

3n + 1

Answer

The pattern increases by 3 each time, so the rule starts with 3n. For n = 1 we need 4, so we add 1: 3n + 1. Check n = 4: 13 ✓.

Question 3

Evaluate 2a² − b when a = 3 and b = 4.

Accepted Answer

14

Answer

Square a first: 3² = 9. Then 2 × 9 = 18, and 18 − 4 = 14.

Question 4

Solve for x: 5x − 3 = 2x + 12

Accepted Answer

5

Answer

Subtract 2x from both sides: 3x − 3 = 12. Add 3: 3x = 15. Divide by 3: x = 5.

Question 5

Simplify: 4(x + 3) − 2x

Accepted Answer

2x + 12

Answer

Expand to get 4x + 12 − 2x. Combining the x terms gives 2x + 12.

(LLN) Language Literacy and Numeracy Test Practice Test