| |
| |
1. |
Which pair of lines graphed below are parallel? |
| |
|
 |
| |
|
A. |
l and m |
B. |
l and n |
| |
|
C. |
k and n |
D. |
k and m |
| |
|
Hint |
|
| |
2. |
Use substitution to solve the system of equations given below. 8x - 4y = 16 2x - y = 4 |
| |
|
A. |
infinitely many solutions |
B. |
(2, 0) |
| |
|
C. |
no solution |
D. |
(0, -4) |
| |
|
Hint |
|
| |
3. |
Use elimination to solve the system of equations shown below. 2x - 4y = -5 3x + 4y = -15 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Evaluate (3.2 × 10-5)(5.4 × 109). Express the result in scientific notation. |
| |
|
A. |
1.728 × 103 |
B. |
0.1728 × 106 |
| |
|
C. |
17.28 × 104 |
D. |
1.728 × 105 |
| |
|
Hint |
|
| |
5. |
If a rocket is fired from the ground with an initial velocity of 75 meters per second, then the height of the rocket after t seconds is h = 75t - 4.9t2. Find the height of the rocket after 3 seconds. |
| |
|
A. |
130.4 meters |
B. |
252.5 meters |
| |
|
C. |
221.6 meters |
D. |
180.9 meters |
| |
|
Hint |
|
| |
6. |
Factor x2 + 5x + 6. |
| |
|
A. |
(x + 1)(x + 6) |
B. |
(x + 1)(x + 5) |
| |
|
C. |
prime |
D. |
(x + 2)(x + 3) |
| |
|
Hint |
|
| |
7. |
Solve x2 – x – 72 = 0. |
| |
|
A. |
x = -8 |
B. |
x = 8 or x = -9 |
| |
|
C. |
x = -8 or x = 9 |
D. |
x = 9 |
| |
|
Hint |
|
| |
8. |
Find the equation that is nonlinear. |
| |
|
A. |
y = 14 + 6x |
B. |
y = –3x – 1 |
| |
|
C. |
y = 4y2 |
D. |
y = 8 – x |
| |
|
Hint |
|
| |
9. |
How many diagonals does a 25-sided polygon have? |
| |
|
A. |
25 |
B. |
300 |
| |
|
C. |
275 |
D. |
550 |
| |
|
Hint |
|
| |
10. |
Which equation is in the same family as y = x2? |
| |
|
A. |
y = 2x – 3 |
B. |
y = x2 – 3 |
| |
|
C. |
y = x3 – 3 |
D. |
y = 2x2 – 3 |
| |
|
Hint |
|
| |
11. |
How does b affect graphs of equations in the form of ? |
| |
|
A. |
b affects the width of the graph |
| |
|
B. |
negative values of b move the graph to the left, positive values move it to the right |
| |
|
C. |
positive values of b move the graph to the left, negative values move it to the right |
| |
|
D. |
b affects the length of the graph |
| |
|
Hint |
|
| |
12. |
Describe a figure that is reflected over two intersecting lines? |
| |
|
A. |
a translation of the original figure across the closest intersecting line |
| |
|
B. |
a rotation of the original figure about the intersection point |
| |
|
C. |
a translation of the original figure across the intersecting lines |
| |
|
D. |
a reflection of the original figure across any line through the intersection point |
| |
|
Hint |
|
| |
13. |
If you want to scale a segment by a factor of 8, how long will the new segment be? |
| |
|
A. |
80% of its original size |
| |
|
B. |
of its original size |
| |
|
C. |
8 times its original size |
| |
|
D. |
64 times its original size |
| |
|
Hint |
|
| |
14. |
Expand the expression.(3z + n) >2 |
| |
|
A. |
9n2 + 6m + m>2 |
B. |
9n>2 + 6n + m>2 |
| |
|
C. |
9m2 + n>2 |
D. |
9m2 + 6mn + n>2 |
| |
|
Hint |
|
| |
15. |
Solve the equation. |
| |
|
A. |
x = 2 |
B. |
x = –2 |
| |
|
C. |
x = –3 |
D. |
x = 3 |
| |
|
Hint |
|
| |
16. |
Find the correct equation for the flowchart. |
| |
|
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
17. |
Solve the equation by backtracking. |
| |
|
A. |
f = 16 |
B. |
f = –28 |
| |
|
C. |
f = –24 |
D. |
f = –21 |
| |
|
Hint |
|
| |
18. |
Hector needs to build a rectangular pen for his dog. He decides to use an area of 50 m2 in his backyard for the pen. Using l for the length and w for the width, express the area in terms of the two variables. |
| |
|
A. |
 |
B. |
l + w = 50 |
| |
|
C. |
w = 50 – w |
D. |
lw = 50 |
| |
|
Hint |
|
| |
19. |
Consider the function f(x) = –x2 + 5. Write the new equation of the function after it has been translated 3 units down. |
| |
|
A. |
f(x) = –x2 + 8 |
| |
|
B. |
f(x) = –(x – 3) 2 + 5 |
| |
|
C. |
f(x) = –x2 + 2 |
| |
|
D. |
f(x) = –(x + 3) 2 + 5 |
| |
|
Hint |
|
| |
20. |
Ben, Jenny, Angela, and Craig all ran in the 1-mile cross-country race. What is the probability that Jenny came in first? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|