CHSPE Algebra 2

Question 1

If 3(x - 4) = 2x + 1, what is the value of x?

Accepted Answer

13

Answer

Distribute to get 3x - 12 = 2x + 1, then x = 13.

Question 2

Which inequality is represented by the statement 'twice a number decreased by 5 is at least 11'?

Accepted Answer

2n - 5 ≥ 11

Answer

'At least' means greater than or equal to, giving 2n - 5 ≥ 11.

Question 3

What is the slope of the line passing through (-2, 3) and (4, -9)?

Accepted Answer

-2

Answer

Slope = (-9 - 3)/(4 - (-2)) = -12/6 = -2.

Question 4

Factor completely: x² - 9

Accepted Answer

(x + 3)(x - 3)

Answer

x² - 9 is a difference of squares: (x + 3)(x - 3).

Question 5

A train travels at 60 mph. How long does it take to travel 210 miles?

Accepted Answer

3.5 hours

Answer

Time = Distance ÷ Rate = 210 ÷ 60 = 3.5 hours.

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