FSA Algebraic Thinking

Question 1

What is the value of x in the equation x + 7 = 15?

Accepted Answer

8

Answer

Subtract 7 from both sides: x = 15 - 7 = 8.

Question 2

Which expression represents '5 more than twice a number n'?

Accepted Answer

2n + 5

Answer

'Twice a number n' is 2n, and '5 more than' means adding 5, giving 2n + 5.

Question 3

If y = 3x - 2 and x = 4, what is the value of y?

Accepted Answer

10

Answer

Substitute x = 4: y = 3(4) - 2 = 12 - 2 = 10.

Question 4

Which property is demonstrated by the equation 3(x + 4) = 3x + 12?

Accepted Answer

Distributive property

Answer

The distributive property states a(b + c) = ab + ac, shown here as 3(x + 4) = 3x + 12.

Question 5

What is the solution to the equation 2x - 4 = 10?

Accepted Answer

7

Answer

Add 4 to both sides to get 2x = 14, then divide both sides by 2 to get x = 7.

FSA - Foundation Skills Assessment Practice Test