WI Forward - Wisconsin Forward Mathematics: Algebraic Concepts Questions and Answers 2

Question 1

Simplify: 4(2x - 5) + 3x

Accepted Answer

11x - 20

Answer

Distribute: 8x - 20 + 3x = 11x - 20.

Question 2

What is the slope of the line through (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (13-5)/(6-2) = 8/4 = 2.

Question 3

Which equation represents 'twice a number decreased by seven equals fifteen'?

Accepted Answer

2n - 7 = 15

Answer

'Twice a number' = 2n, 'decreased by seven' = -7, 'equals fifteen' = 15.

Question 4

What is the solution to y = x + 1 and y = -x + 5?

Accepted Answer

(2, 3)

Answer

Set equal: x + 1 = -x + 5, so 2x = 4, x = 2, y = 3.

Question 5

Which set of ordered pairs represents a function?

Accepted Answer

{(1,2),(3,4),(5,6)}

Answer

A function assigns exactly one output to each input. Only {(1,2),(3,4),(5,6)} has unique x-values.

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