EOG EOG Algebraic Thinking 2 — Questions and Answers
Question 1: What value of x makes the equation 3x − 5 = 16 true?
- 5
- 6
- 7 (Correct answer)
- 8
Correct answer: 7
Adding 5 to both sides gives 3x = 21, then dividing by 3 gives x = 7.
Question 2: Which table of values represents the rule y = x + 4?
- x=1,y=5; x=2,y=6; x=3,y=7 (Correct answer)
- x=1,y=4; x=2,y=8; x=3,y=12
- x=1,y=3; x=2,y=2; x=3,y=1
- x=1,y=6; x=2,y=8; x=3,y=10
Correct answer: x=1,y=5; x=2,y=6; x=3,y=7
When y = x + 4, adding 4 to each x value gives: 1+4=5, 2+4=6, 3+4=7, matching the first table.
Question 3: What is the rule for the pattern: Input 2 → Output 10, Input 4 → Output 20, Input 6 → Output 30?
- Multiply by 3
- Add 8
- Multiply by 5 (Correct answer)
- Add 4, then multiply by 2
Correct answer: Multiply by 5
Multiplying each input by 5 produces the correct output: 2×5=10, 4×5=20, 6×5=30.
Question 4: Which equation shows the Commutative Property of Addition?
- (3 + 4) + 5 = 3 + (4 + 5)
- 7 + 0 = 7
- 4 + 9 = 9 + 4 (Correct answer)
- 2(5 + 3) = 10 + 6
Correct answer: 4 + 9 = 9 + 4
The Commutative Property of Addition states the order of addends can be changed without changing the sum: 4 + 9 = 9 + 4.
Question 5: A recipe uses 3 cups of flour for every 12 cookies. How many cups of flour are needed for 48 cookies?
- 9
- 10
- 12 (Correct answer)
- 16
Correct answer: 12
48 cookies is 4 times the original 12, so multiply the flour by 4: 3 × 4 = 12 cups.
Question 6: Which expression is equivalent to 2(x + 5)?
- 2x + 5
- 2x + 7
- 2x + 10 (Correct answer)
- x + 10
Correct answer: 2x + 10
Using the Distributive Property: 2(x + 5) = 2·x + 2·5 = 2x + 10.
EOG EOG Algebraic Thinking 2
What value of x makes the equation 3x − 5 = 16 true?