Correct Answer: A

An equation is undefined when the value of a denominator in the equation is equal to zero. Set x 2?7x +18 equal to zero and factor the quadratic to find its roots:

Correct Answer: C

A positive number minus a negative number will not only always be a positive number, but will also be a positive number greater than the first operand. gh will always be negative when one multiplicand is positive and the other is negative. g + h will be positive when the absolute value of g is greater than the absolute value of h, but g + h will be negative when the absolute value of g is less than the absolute value of h. |h| ?| g| will be positive when |h| is greater than g, but |h| ?|g| will be negative when |h| is less than g. hg will be positive when g is an even, whole number, but negative when g is an odd, whole number.

Correct Answer: B

Explanation:

The area of a circle is equal to πr2. The radius of the inner circle is 5 m; therefore, the area of the inner

circle is 25πm2. The radius of the outer circle is (1.2)(5) = 6 m; therefore, the area of the outer circle is

36π. Subtract the area of the inner circle from the area of the outer circle: 36π – 25π = 9πm2.

Correct Answer: E

If plus any value will be less than that same value (whether positive or negative). Therefore,

Correct Answer: A

If a = 4, x could be less than a. For example, x could be

Although x

Correct Answer: A

To increased by 50%, multiply d by 1.5:d= 1.5d. To find 50% of 1.5d, multiply 1.5d by 0.5: (1.5d)(0.5) = 0.75d. Compared to its original value, d is now 75% of what it was. The value of d is now 25% smaller.

Correct Answer: D

Comparing the hundredths digits,3>0 therefore, 0.43>0.40 and

Correct Answer: D

Line OB line OC, which means the angles opposite line OB and OC (angles C and B) are congruent. Since angle B = 55 degrees, then angle C = 55 degrees. There are 180 degrees in a triangle, so the measure of angle O is equal to 180 ?(55 + 55) = 180 ?110 = 70 degrees. Angle O is a central angle. The measure of its intercepted arc, minor arc BC, is equal to the measure of angle O, 70 degrees.

Correct Answer: A

Explanation:

The equation of a parabola with its turning point five units to the right of the y-axis is written as y = (x - 5)2.

The equation of a parabola with its turning point four units below the x-axis is written as y = x2- 4.

Therefore, the equation of a parabola with its vertex at (5, 4) is y= (x - 5)2 – 4.

Correct Answer: A

Substitute 2 for x and 5 for

the 5th root of 32 is 2, 2 raised to the 2nd power is 4.