EOG EOG Algebraic Thinking 1 — Questions and Answers
Question 1: What is the value of n in the equation: 4n = 28?
- 5
- 6
- 7 (Correct answer)
- 8
Correct answer: 7
Dividing both sides of 4n = 28 by 4 gives n = 7.
Question 2: Which expression represents 'six more than three times a number x'?
- 6x + 3
- 3x + 6 (Correct answer)
- 3 + 6x
- 6(x + 3)
Correct answer: 3x + 6
Three times a number x is 3x, and six more than that is 3x + 6.
Question 3: What is the next number in the pattern: 3, 6, 12, 24, ___?
- 36
- 42
- 48 (Correct answer)
- 30
Correct answer: 48
Each number in the pattern is multiplied by 2, so 24 × 2 = 48.
Question 4: If y = 2x + 1, what is y when x = 5?
- 9
- 10
- 11 (Correct answer)
- 12
Correct answer: 11
Substituting x = 5 into y = 2x + 1 gives y = 2(5) + 1 = 10 + 1 = 11.
Question 5: Which property is shown by: 5 × (3 + 4) = (5 × 3) + (5 × 4)?
- Commutative Property
- Associative Property
- Distributive Property (Correct answer)
- Identity Property
Correct answer: Distributive Property
The Distributive Property states that multiplying a number by a sum equals multiplying by each addend separately, then adding.
Question 6: A store sells pencils for $0.25 each. Which equation shows the total cost (c) for buying p pencils?
- c = p + 0.25
- c = 0.25p (Correct answer)
- c = p ÷ 0.25
- c = 0.25 ÷ p
Correct answer: c = 0.25p
The total cost is the price per pencil multiplied by the number of pencils: c = 0.25p.
EOG EOG Algebraic Thinking 1
What is the value of n in the equation: 4n = 28?