EOG EOG Algebraic Thinking 2

Question 1

What value of x makes the equation 3x − 5 = 16 true?

Accepted Answer

7

Answer

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?

Accepted Answer

x=1,y=5; x=2,y=6; x=3,y=7

Answer

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?

Accepted Answer

Multiply by 5

Answer

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?

Accepted Answer

4 + 9 = 9 + 4

Answer

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?

Accepted Answer

12

Answer

48 cookies is 4 times the original 12, so multiply the flour by 4: 3 × 4 = 12 cups.

EOG - End of Grade Practice Test