PAT Algebraic Thinking 2

Question 1

What is the missing number in the pattern: 2, 5, __, 11, 14?

Accepted Answer

8

Answer

The pattern adds 3 each time: 2+3=5, 5+3=8, 8+3=11, 11+3=14.

Question 2

Solve for y: 4y = 36

Accepted Answer

9

Answer

Dividing both sides by 4: y = 36 ÷ 4 = 9.

Question 3

Which value of x makes the inequality 2x + 1 > 9 true?

Accepted Answer

x = 5

Answer

Substituting x=5: 2(5)+1=11>9 is true; for x=3: 7>9 false; x=4: 9>9 false (not strictly greater); x=2: 5>9 false.

Question 4

A plumber charges a $25 call-out fee plus $15 per hour. Which equation shows the total cost C for h hours of work?

Accepted Answer

C = 15h + 25

Answer

The total cost is the hourly rate (15h) added to the fixed call-out fee (25), giving C = 15h + 25.

Question 5

Which value of x makes the equation 5x − 3 = 22 true?

Accepted Answer

5

Answer

Adding 3 to both sides: 5x = 25, then dividing by 5: x = 5. Check: 5(5)−3=22 ✓

PAT - Progressive Achievement Tests Practice Test