TSI Algebraic Reasoning and Functions 5

Question 1

What is the slope of a line parallel to y = 4x - 2?

Accepted Answer

4

Answer

Parallel lines have equal slopes, so the slope is 4.

Question 2

Solve: |x - 3| = 7.

Accepted Answer

x = 10 or x = -4

Answer

x - 3 = 7 gives x = 10; x - 3 = -7 gives x = -4.

Question 3

If 3x + 2y = 12 and x = 2, what is y?

Accepted Answer

3

Answer

3(2) + 2y = 12, so 2y = 6 and y = 3.

Question 4

Which is equivalent to (x^3)^2?

Accepted Answer

x^6

Answer

Raising a power to a power multiplies exponents: 3 * 2 = 6.

Question 5

A car travels at constant speed and goes 150 miles in 3 hours. Write the distance function d(t).

Accepted Answer

d(t) = 50t

Answer

Speed is 150/3 = 50 mph, so d(t) = 50t.

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