Algebraic Thinking Flashcards
7 cards from real FSA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Algebraic Thinking flashcards as text
What is the value of x in the equation x + 7 = 15?
Answer: 8
Subtract 7 from both sides: x = 15 - 7 = 8.
Which expression represents '5 more than twice a number n'?
Answer: 2n + 5
'Twice a number n' is 2n, and '5 more than' means adding 5, giving 2n + 5.
If y = 3x - 2 and x = 4, what is the value of y?
Answer: 10
Substitute x = 4: y = 3(4) - 2 = 12 - 2 = 10.
Which property is demonstrated by the equation 3(x + 4) = 3x + 12?
Answer: Distributive property
The distributive property states a(b + c) = ab + ac, shown here as 3(x + 4) = 3x + 12.
What is the solution to the equation 2x - 4 = 10?
Answer: 7
Add 4 to both sides to get 2x = 14, then divide both sides by 2 to get x = 7.
A number is multiplied by 6, and then 3 is subtracted from the result to get 21. What is the number?
Answer: 4
Write the equation as 6n - 3 = 21; solve to get 6n = 24, so n = 4.
Which of the following is an algebraic expression?
Answer: 3x + 7
An algebraic expression contains at least one variable, making 3x + 7 the correct choice.
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