CSET CSET Mathematics: Number Theory and Algebra 2

Question 1

Which of the following best describes a rational number?

Accepted Answer

Any number that can be written as p/q where p and q are integers and q ≠ 0

Answer

A rational number is any number expressible as the ratio p/q of two integers where the denominator is not zero.

Question 2

What is the slope of a line perpendicular to y = (2/3)x + 5?

Accepted Answer

−3/2

Answer

Perpendicular lines have slopes that are negative reciprocals; the negative reciprocal of 2/3 is −3/2.

Question 3

Which of the following is an example of the associative property of addition?

Accepted Answer

(a + b) + c = a + (b + c)

Answer

The associative property states that grouping of addends does not change the sum: (a + b) + c = a + (b + c).

Question 4

Solve for x: 3(x − 4) = 2x + 7

Accepted Answer

x = 19

Answer

3x − 12 = 2x + 7, so x = 19.

Question 5

What is the degree of the polynomial 4x³ − 7x² + x − 9?

Accepted Answer

3

Answer

The degree of a polynomial is the highest exponent of the variable, which is 3 here.

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