TSI Algebraic Reasoning and Functions 4

Question 1

Solve: x^2 - 5x + 6 = 0.

Accepted Answer

x = 2 or x = 3

Answer

Factors as (x - 2)(x - 3) = 0, so x = 2 or x = 3.

Question 2

What is the equation of a line with slope 3 passing through (0, -4)?

Accepted Answer

y = 3x - 4

Answer

Slope 3 and y-intercept -4 give y = 3x - 4.

Question 3

Evaluate: 2^3 + 3 * 4 - 6.

Accepted Answer

14

Answer

8 + 12 - 6 = 14 by order of operations.

Question 4

If the perimeter of a rectangle is 2L + 2W, solve for W.

Accepted Answer

W = (P - 2L)/2

Answer

Subtract 2L then divide by 2: W = (P - 2L)/2.

Question 5

Simplify the expression: (x^2 - x - 12)/(x - 4).

Accepted Answer

x + 3

Answer

Factor numerator to (x - 4)(x + 3), cancel (x - 4) to get x + 3.

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