KYOTE College Placement 3

Question 1

What is the slope of the line passing through (−2, 1) and (4, 7)?

Accepted Answer

1

Answer

Slope = (7 − 1) / (4 − (−2)) = 6 / 6 = 1.

Question 2

Which of the following is a solution to x² − 5x + 6 = 0?

Accepted Answer

x = 3

Answer

Factor: (x − 2)(x − 3) = 0, giving x = 2 or x = 3; x = 3 is listed.

Question 3

Convert 0.35 to a fraction in lowest terms.

Accepted Answer

7/20

Answer

0.35 = 35/100; dividing numerator and denominator by 5 gives 7/20.

Question 4

If f(x) = 2x² − 3, what is f(−2)?

Accepted Answer

5

Answer

f(−2) = 2(−2)² − 3 = 2(4) − 3 = 8 − 3 = 5.

Question 5

Which inequality represents 'three less than twice a number is at most 11'?

Accepted Answer

2n − 3 ≤ 11

Answer

'Twice a number' is 2n, 'three less than' means subtract 3, and 'at most 11' means ≤ 11.

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