PAT Algebraic Thinking

Question 1

Which of the following represents the rule for the pattern: 3, 6, 12, 24, ...?

Accepted Answer

Multiply by 2 each time

Answer

Each term is obtained by multiplying the previous term by 2 (3×2=6, 6×2=12, 12×2=24).

Question 2

If n = 5, what is the value of 3n + 4?

Accepted Answer

19

Answer

Substituting n = 5: 3(5) + 4 = 15 + 4 = 19.

Question 3

Which equation best describes this function table? Input: 1, 2, 3, 4 | Output: 5, 8, 11, 14

Accepted Answer

y = 3x + 2

Answer

The output increases by 3 for each increase of 1 in input, and when x=1, y=3(1)+2=5, confirming y=3x+2.

Question 4

Solve for x: x − 7 = 15

Accepted Answer

22

Answer

Adding 7 to both sides: x = 15 + 7 = 22.

Question 5

A sequence starts at 100 and each term decreases by 8. What is the 6th term?

Accepted Answer

60

Answer

Starting at 100: term1=100, term2=92, term3=84, term4=76, term5=68, term6=60.

PAT - Progressive Achievement Tests Practice Test