NeSA Algebra & Functions Flashcards

Which equation represents a line parallel to y = 2x + 1?

Answer: y = 2x − 4

Parallel lines have the same slope; y = 2x − 4 has the same slope (2) as y = 2x + 1.

What is the solution to the system: y = x + 2 and y = 3x − 2?

Answer: (2, 4)

Setting x + 2 = 3x − 2 gives 4 = 2x, so x = 2 and y = 4; the solution is (2, 4).

Which of the following is a function?

Answer: {(1,2),(2,3),(3,4)}

A function requires each input (x-value) to have exactly one output; {(1,2),(2,3),(3,4)} satisfies this.

What is the domain of the function f(x) = x + 4 for x ∈ {1, 2, 3}?

Answer: {1, 2, 3}

The domain is the set of input values, which is {1, 2, 3}.

What does the term 'coefficient' refer to in the expression 7x²?

Answer: The number 7

The coefficient is the numerical factor multiplied by the variable; in 7x², the coefficient is 7.

If y varies directly with x and y = 12 when x = 4, what is y when x = 7?

Answer: 21

The constant of variation k = y/x = 12/4 = 3, so y = 3(7) = 21.