| |
| |
1. |
Write  in simple form. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Which graph represents a function? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Solve  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Use substitution to solve the system of equations given below.
8x - 4y = 16
2x - y = 4 |
| |
|
A. |
(0, -4) |
B. |
(2, 0) |
| |
|
C. |
infinitely many solutions |
D. |
no solution |
| |
|
Hint |
|
| |
5. |
Evaluate (3.2 × 10-5)(5.4 × 109). Express the result in scientific notation. |
| |
|
A. |
0.1728 × 106 |
B. |
17.28 × 104 |
| |
|
C. |
1.728 × 103 |
D. |
1.728 × 105 |
| |
|
Hint |
|
| |
6. |
Find (4y - 5)(3y - 7). |
| |
|
A. |
12y2 – 13y + 35 |
B. |
12y2 – 43y - 35 |
| |
|
C. |
12y2 – 43y + 35 |
D. |
12y2 + 35 |
| |
|
Hint |
|
| |
7. |
Use the quadratic formula to solve x2 + 2x - 8 = 0. |
| |
|
A. |
-2 |
B. |
-4, -2 |
| |
|
C. |
-4, 2 |
D. |
-4 |
| |
|
Hint |
|
| |
8. |
Which characteristic describes a graph that is linear and has direct variation. |
| |
|
A. |
The graph does not pass through (0, 0). |
| |
|
B. |
The equation has the form y = mx. |
| |
|
C. |
The equation has the form y = mx + b. |
| |
|
D. |
Variables x and y are not proportional. |
| |
|
Hint |
|
| |
9. |
Michael just got a job mowing his elderly neighbor's lawn paying him $10 each week. Draw a graph showing the amount he receives is increasing very rapidly. Suppose you graph the time in weeks on the horizontal axis and the amount Michael receives on the vertical axis. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Write the equation in slope-intercept form.
–6x = –10 – 2y |
| |
|
A. |
y = 3x – 5 |
| |
|
B. |
y = 3x + 8 |
| |
|
C. |
–6x + 2y + 10 = 0 |
| |
|
D. |
y + 8 = 3(x + 1) |
| |
|
Hint |
|
| |
11. |
How many diagonals does a 25-sided polygon have? |
| |
|
A. |
550 |
B. |
300 |
| |
|
C. |
25 |
D. |
275 |
| |
|
Hint |
|
| |
12. |
Find the equation of the graph below. |
| |
|
 |
| |
|
A. |
y = x2 – 3 |
B. |
y = (x + 3)2 |
| |
|
C. |
y = x2 + 3 |
D. |
y = (x - 3)2 |
| |
|
Hint |
|
| |
13. |
Consider the equation xy = 3. What happens to the value of y when x doubles? |
| |
|
A. |
y triples |
B. |
y quarters |
| |
|
C. |
y doubles |
D. |
y halves |
| |
|
Hint |
|
| |
14. |
What type of relationship does the equation have if its first differences are constant? |
| |
|
A. |
cubic |
B. |
linear |
| |
|
C. |
quadratic |
D. |
constant |
| |
|
Hint |
|
| |
15. |
How many counterexamples are needed to prove a conjecture wrong? |
| |
|
A. |
4 |
B. |
3 |
| |
|
C. |
1 |
D. |
2 |
| |
|
Hint |
|
| |
16. |
Find a solution to the equation by doing the same thing to both sides.
3 – 6m = 5 – 7m |
| |
|
A. |
m = –2 |
B. |
m = –5 |
| |
|
C. |
m = 0 |
D. |
m = 2 |
| |
|
Hint |
|
| |
17. |
Find the rule for the translation below. |
| |
|
 |
| |
|
A. |
rule: (x, y)  (x + 7, y + 1) |
| |
|
B. |
rule: (x, y) (x – 7, y – 1) |
| |
|
C. |
rule: (x, y) (x – 1, y – 7) |
| |
|
D. |
rule: (x, y) (x – 1, y + 7) |
| |
|
Hint |
|
| |
18. |
Solve the equation by backtracking. |
| |
|
A. |
y = 3 |
B. |
y = 1 |
| |
|
C. |
y =  |
D. |
y =  |
| |
|
Hint |
|
| |
19. |
Solve the equation by backtracking. |
| |
|
A. |
f = –21 |
B. |
f = –28 |
| |
|
C. |
f = –24 |
D. |
f = 16 |
| |
|
Hint |
|
| |
20. |
Consider the function f(x) = 2x. Find the domain and range. |
| |
|
|
| |
|
A. |
domain:all real numbers greater than zero range: all real numbers except zero |
| |
|
B. |
domain: all real numbers greater than zero range: all real numbers greater than zero |
| |
|
C. |
domain: all real numbers range: all real numbers |
| |
|
D. |
domain: all real numbers range: all real numbers less than zero |
| |
|
Hint |
|
|
|