Correct Answer: C

The perimeter of a rectangle is equal to 2l+2w, where l is the length of the rectangle and w is the width of the rectangle. If the length is one greater than three times the width, then set the width equal to x and set the length equal to 3x+1:

The width of the rectangle is 3 ft and the length of the rectangle is 10 ft. The area of a rectangle is equal to lw;(10 ft)(3 ft) = 30 ft2.

Correct Answer: B

Correct Answer: D

Explanation:

22% of the movies rented were action movies; 250(0.22) = 55 movies; 12% of the movies rented were horror movies; 250(0.12) = 30 movies. There were 55 – 30 = 25 more action movies rented than horror movies.

Correct Answer: E

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

Correct Answer: E

No penguins live at the North Pole, so anything that lives at the North Pole must not be a penguin. If Flipper lives at the North Pole, then he, like all things at the North Pole, is not a penguin.

Correct Answer: A

When a base is raised to a fractional exponent, raise the base to the power given by the numerator and take the root given by the denominator. Raise the base,a, to the bth power, since b is the numerator of the exponent. Then, take theth rooth of that:

Correct Answer: C

Explanation: The equation of a parabola with its turning point c units to the left of they-a x is written as y=(x + c)2. The equation of a parabola with its turning point d units above the x-axis is written as y= x2+d. The vertex of the parabola formed by the equation y = (x+1)2+2is found one unit to the left of the y-a x is and two units above the x-axis, at the point (–1,2). Alternatively, test each answer choice by plugging the x value of the choice into the equation and solving for y. Only the coordinates in choice c, (-1, 2, represent a point on the parabola(y = (x+1)2+2, 2=(-1+1)2+2, 2 = 02+2, 2=2, so it is the only point of the choices given that could be the vertex of the parabola.

Correct Answer: C

The set of positive factors of 12 is {1, 2, 3, 4, 6, 12}. All of the even numbers (2, 4, 6, and 12) are multiples of 2. The only positive factors of 12 that are not multiples of 2 are 1 and 3.

Correct Answer: B

Explanation:

Be careful — the question asks you for the number of values off (3) not f(x)=3. In other words, how many y values can be generated when x=3? If the line x=3 is drawn on the graph, it passes through only one point. There is only one value for f(x)