FSA Algebraic Thinking 1 — Questions and Answers
Question 1: What is the value of x in the equation x + 7 = 15?
- 6
- 8 (Correct answer)
- 22
- 7
Correct answer: 8
Subtract 7 from both sides: x = 15 - 7 = 8.
Question 2: Which expression represents '5 more than twice a number n'?
- 5n + 2
- 2n - 5
- 2n + 5 (Correct answer)
- 5n - 2
Correct answer: 2n + 5
'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?
- 10 (Correct answer)
- 14
- 5
- 12
Correct answer: 10
Substitute x = 4: y = 3(4) - 2 = 12 - 2 = 10.
Question 4: Which property is demonstrated by the equation 3(x + 4) = 3x + 12?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
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?
- 3
- 7 (Correct answer)
- 5
- 6
Correct answer: 7
Add 4 to both sides to get 2x = 14, then divide both sides by 2 to get x = 7.
Question 6: A number is multiplied by 6, and then 3 is subtracted from the result to get 21. What is the number?
- 3
- 4 (Correct answer)
- 6
- 18
Correct answer: 4
Write the equation as 6n - 3 = 21; solve to get 6n = 24, so n = 4.
Question 7: Which of the following is an algebraic expression?
- 4 + 3 = 7
- 5 × 2
- 3x + 7 (Correct answer)
- 10 ÷ 2 = 5
Correct answer: 3x + 7
An algebraic expression contains at least one variable, making 3x + 7 the correct choice.
FSA Algebraic Thinking 1
What is the value of x in the equation x + 7 = 15?