FSA Algebraic Thinking 2

Question 1

Which inequality represents 'a number n is at least 12'?

Accepted Answer

n ≥ 12

Answer

'At least 12' means n can equal 12 or be greater, so n ≥ 12 is the correct inequality.

Question 2

If f(x) = 4x + 1, what is the value of f(3)?

Accepted Answer

13

Answer

Substitute x = 3: f(3) = 4(3) + 1 = 12 + 1 = 13.

Question 3

A pattern produces outputs 3, 5, 7, 9 for inputs 1, 2, 3, 4. What is the rule?

Accepted Answer

y = 2x + 1

Answer

Each output equals twice the input plus 1: 2(1)+1=3, 2(2)+1=5, confirming the rule y = 2x + 1.

Question 4

Solve for m: 3m + 9 = 30

Accepted Answer

7

Answer

Subtract 9 from both sides to get 3m = 21, then divide by 3 to get m = 7.

Question 5

What is the value of the expression 5(n - 2) when n = 6?

Accepted Answer

20

Answer

Substitute n = 6: 5(6 - 2) = 5(4) = 20.

FSA - Foundation Skills Assessment Practice Test