| |
| |
1. |
Use the distributive property to rewrite  without parentheses. |
| |
|
A. |
24x - 3 |
B. |
24x - 24 |
| |
|
C. |
24x - 4 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Which graph represents the solution to x + 4 > -2? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
3. |
How many lines of symmetry does the figure shown below have? |
| |
|
 |
| |
|
A. |
1 |
B. |
4 |
| |
|
C. |
0 |
D. |
2 |
| |
|
Hint |
|
| |
4. |
The table shows the possible lengths and widths of a rectangle that has an area of 72 square centimeters. Make a scatter plot of the data. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Find (x - 4)2. |
| |
|
A. |
x2 - 16 |
B. |
x2 - 4x + 16 |
| |
|
C. |
x2 + 16 |
D. |
x2 - 8x + 16 |
| |
|
Hint |
|
| |
6. |
Consider the following conjecture. If an even number is written 2k, where k is a whole number, then 2k + 1 must be an odd number. What can be your next course of action in dealing with this conjecture? |
| |
|
A. |
test every possible case to prove the conjecture |
| |
|
B. |
find a counterexample to disprove the conjecture |
| |
|
C. |
develop an argument to prove the conjecture |
| |
|
D. |
all answers are correct |
| |
|
Hint |
|
| |
7. |
Use an exponent to write 177,147 as a power of 3. |
| |
|
A. |
317 |
B. |
319 |
| |
|
C. |
39 |
D. |
311 |
| |
|
Hint |
|
| |
8. |
Identify the decay factor in the equation p = 1,508,069 × 0.89n where p is the bacteria population and n is the number of days after a vaccine was administered. |
| |
|
A. |
1,508,069 |
B. |
0.89 |
| |
|
C. |
p |
D. |
n |
| |
|
Hint |
|
| |
9. |
Use you calculator's Table feature to approximate the solutions to the nearest hundredth.
4x(x + 2) = 12 |
| |
|
A. |
x = 2, x = –2 |
B. |
x = 0, x = –4 |
| |
|
C. |
x = –1, x = –4 |
D. |
x = 1, x = –3 |
| |
|
Hint |
|
| |
10. |
What angle of rotation does the figure below have? |
| |
|
 |
| |
|
A. |
45° |
B. |
180° |
| |
|
C. |
120° |
D. |
90° |
| |
|
Hint |
|
| |
11. |
Find the angle of rotation for the following figure. |
| |
|
 |
| |
|
A. |
–320° |
B. |
–140° |
| |
|
C. |
–40° |
D. |
140° |
| |
|
Hint |
|
| |
12. |
Use the projection method to scale this polygon by a factor of  . |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Use the diagram to write and expand an expression for the area. |
| |
|
 |
| |
|
A. |
(f + 7)(f+ 9) = f2 + 16f + 63 |
B. |
(f+ 7)( f + 9) = f2 – 16f + 63 |
| |
|
C. |
(f + f)(7 + 9) = 32f |
D. |
(f + 7)( f + 9) = f2 + 63 |
| |
|
Hint |
|
| |
14. |
Multiply the pair of binomials.(8g + 2)( g + 5) |
| |
|
A. |
8g2 + 42g+ 10 |
B. |
8g2 + 50g+ 10 |
| |
|
C. |
8g2 + 10g + 42 |
D. |
8g2 + 7g + 10 |
| |
|
Hint |
|
| |
15. |
Use the difference of two squares to find the product. |
| |
|
A. |
(60 + 1)(60 + 1) = 3,600 + 120 + 1 = 3,721 |
| |
|
B. |
–(60 + 1)(60 – 1) = –3,600 + 1 = –3,599 |
| |
|
C. |
(60 + 1)(60 – 1) = 3,600 – 1 = 3,599 |
| |
|
D. |
–(60 + 1)(60 + 1) = –3,600 – 120 – 1 =– 3,721 |
| |
|
Hint |
|
| |
16. |
Find the solutions of the equation.4y2 – 16 = 0 |
| |
|
A. |
y = and y =  |
B. |
y = 2 and y = –2 |
| |
|
C. |
y = and y = |
D. |
y = –2 and y = –2 |
| |
|
Hint |
|
| |
17. |
Find the range of a parabola if the vertex is (–5, 3) and the parabola opens upward. |
| |
|
A. |
range: f (x)  –5 |
| |
|
B. |
range: f (x)  –5 |
| |
|
C. |
range: f (x) 3 |
| |
|
D. |
range: f(x) 3 |
| |
|
Hint |
|
| |
18. |
How many solutions does the equation have?x2 – 6x + 8 = 2x – 3 |
| |
|
A. |
0 |
B. |
2 |
| |
|
C. |
3 |
D. |
1 |
| |
|
Hint |
|
| |
19. |
All whole-number pairs with a sum of 30 are placed into a hat. What is the probability that one of the numbers in the pair selected is greater than 20? |
| |
|
A. |
 |
B. |
|
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
20. |
In the six-team playoff structure below, how many games does Team D have to win to win the playoff? |
| |
|
 |
| |
|
A. |
2 |
B. |
1 |
| |
|
C. |
4 |
D. |
3 |
| |
|
Hint |
|
|
|