Problem

Skill/Concept Involved

1. The box pictured below has a rectangular base and an open top. Express its surface area in terms of x and h.

(a) 5xyh (b) 4yh + xy (c) 2h(x+y) + xy

(d) 2xy + 4xyh (e) yh + xh + 2xy

The correct answer is: (a) (b) (c) (d) (e)

(1) Word Problems

(2) Surface Area of a solid rectangular object

2. Below is the graph of f(x). From it, we can see that f(x) > 0 whenever

(a) x < 0 (b) x > -2 (c) x < 4 (d) -2 < x < 6 (e) x < -2, x > 6

The correct answer is: (a) (b) (c) (d) (e)

Analyzing graphs of parabolae

3. If money in an investment triples every 15 years, then by what factor does it increase over a 45-year period?

(a) 3 (b) 9 (c) 27 (d) 15 (e) 45

The correct answer is: (a) (b) (c) (d) (e)

Word Problem Solving

4. The x-coordinate of the point of intersection of the graphs of x - y = 2 and 3x + 5y = 30 is

(a) 3 (b) 5 (c) -5/3 (d) 5/2 (e) -7/2

The correct answer is: (a) (b) (c) (d) (e)

solving systems of linear equations

5. Definition: A function is odd if the image of x is the opposite of the image of -x. That is, if f(x) = -f(-x) or, to put it another way, if f(-x) = -f(x). Which of the functions whose graphs are shown is odd?

(a) (b) (c)

(d) (e)

The correct answer is: (a) (b) (c) (d) (e)

Identifying properties of graphs

The correct answer is: (a) (b) (c) (d) (e)

Multiplying factors having fractional exponents

(a) (b) (c)

(d) (e)

The correct answer is: (a) (b) (c) (d) (e)

Recognizing graphs of various degreed functions

The correct answer is: (a) (b) (c) (d) (e)

Solving log equations

9. Which of the following curves most resembles the graph of f(x) = 3^-x?

(a) (b) (c)

(d) (e)

The correct answer is: (a) (b) (c) (d) (e)

Graphs of exponential functions

The correct answer is: (a) (b) (c) (d) (e)

Solving for a variable

The correct answer is: (a) (b) (c) (d) (e)

Manipulating Exponents

12. In the given figure, the distance between points A and C is

The correct answer is: (a) (b) (c) (d) (e)

Distance between two points

The correct answer is: (a) (b) (c) (d) (e)

Evaluating functions

14. The graph of the equation y = 3x - 4 is

(a) a vertical line (b) a line rising to the right (c) a horizontal line

(d) a line falling to the right (e) not a line

The correct answer is: (a) (b) (c) (d) (e)

Linear graphs

15. The area of the rectangle pictured below is:

The correct answer is: (a) (b) (c) (d) (e)

(a) 6.0

(b) 4.0

(d) 8.0

(e) 5.5

(1) Evaluating functions

(2) Area of a rectangle

16. The quantity y + k is a factor of how many of the following:

y² - k² y²+k²y^{3 -}k³y^{3 +}k³

^{(a)
0       (b)
1       (c)
2       (d)
3       (e) 4}

The correct answer is: (a) (b) (c) (d) (e)

factoring the difference of two squares and the sum/difference of two cubes

17. A farmer fenced in a rectangular area for his tomato garden. But then he saw that he needed a bigger area, so he bought "x" feet of additional fencing to increase the area of his tomato garden.. If he uses all "x" feet of it, and increases each dimension, length "l" and width "w", by the same amount, by how much will he have increased
the area of his garden?