| |
| |
1. |
Three times the greater of two consecutive odd integers is five less than four times the smaller. Find the two numbers. |
| |
|
A. |
8, 9 |
B. |
11, 13 |
| |
|
C. |
15, 17 |
D. |
8, 10 |
| |
|
Hint |
|
| |
2. |
A direct variation equation has (-2, 4) and (n, -8) as solutions. Find the missing value. |
| |
|
A. |
-2 |
B. |
1 |
| |
|
C. |
4 |
D. |
16 |
| |
|
Hint |
|
| |
3. |
Which scatter plot shows that x and y have no correlation? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Arrange the terms of 6x4y2 – 4x2y + 2xy3 + 8 so that the powers of y are in ascending order. |
| |
|
A. |
2xy3 + 6x4y2 - 4x2y + 8 |
| |
|
B. |
8 – 4x2y + 6x4y2 + 2xy3 |
| |
|
C. |
6x4y2 - 4x2y + 2xy3 +8 |
| |
|
D. |
8 + 2xy3 - 4x2y + 6x4y2 |
| |
|
Hint |
|
| |
5. |
Find (5t2 - 2w)2 |
| |
|
A. |
25t4 + 4w2 |
B. |
25t4 – 4w2 |
| |
|
C. |
25t4 – 10t2w + 4w2 |
D. |
25t4 – 20t2w + 4w2 |
| |
|
Hint |
|
| |
6. |
What are the real roots of the quadratic equation whose related function is graphed below? |
| |
|
 |
| |
|
A. |
3, -1 |
B. |
-3, 1 |
| |
|
C. |
-1, -3 |
D. |
3 |
| |
|
Hint |
|
| |
7. |
State the excluded values of x in the expression . |
| |
|
A. |
or - 3 |
B. |
 |
| |
|
C. |
or 3 |
D. |
, 3, or 4 |
| |
|
Hint |
|
| |
8. |
Which are the vertices of an isosceles triangle? |
| |
|
A. |
G(5, 1), H(-4, 3), I(2, 6) |
| |
|
B. |
J(0, 4), K(-3, -4), L(1, -5) |
| |
|
C. |
A(6, 3), B(-2, 4), C(2, 11) |
| |
|
D. |
D(2, -6), E(1, -5), F(8, 0) |
| |
|
Hint |
|
| |
9. |
Simplify 7(b + 3) + 14. |
| |
|
A. |
42b |
B. |
24b |
| |
|
C. |
7b + 17 |
D. |
7b + 35 |
| |
|
Hint |
|
| |
10. |
Find 56.875 ÷ -6.5. |
| |
|
A. |
-11.375 |
B. |
-8.75 |
| |
|
C. |
8.75 |
D. |
11.375 |
| |
|
Hint |
|
| |
11. |
Last year, an internet service provider's fee was $17.99 per month. This year, the same internet service provider charges $19.99 per month. Rounded to the nearest percent, what is the percent of increase for internet service? |
| |
|
A. |
15% |
B. |
9% |
| |
|
C. |
2% |
D. |
11% |
| |
|
Hint |
|
| |
12. |
Graph  |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
13. |
Solve  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Express 4.67 × 10-7 in standard notation. |
| |
|
A. |
0.0000000467 |
B. |
0.00000467 |
| |
|
C. |
0.000000467 |
D. |
46,700,000 |
| |
|
Hint |
|
| |
15. |
Find the product (3x + 3)2. |
| |
|
A. |
9x2 + 18x + 9 |
B. |
9x2 + 12x + 9 |
| |
|
C. |
6x2 + 12x + 9 |
D. |
6x2 + 18x + 9 |
| |
|
Hint |
|
| |
16. |
Solve the following: y2 + 6y + 9 = 49. |
| |
|
A. |
{–10, 4} |
B. |
{10, –4} |
| |
|
C. |
{7} |
D. |
{7, –7} |
| |
|
Hint |
|
| |
17. |
How many real roots are there for the equation 2x2 + 6x + 3? |
| |
|
A. |
cannot be determined from given information |
B. |
1 |
| |
|
C. |
0 |
D. |
2 |
| |
|
Hint |
|
| |
18. |
Suppose Tyler sprayed around the house for ants. Which formula would be used to find the number of ants still alive after a certain time if the number of ants was changing exponentially? |
| |
|
A. |
exponential decay |
B. |
compound interest |
| |
|
C. |
exponential growth |
D. |
cannot be determined from given information |
| |
|
Hint |
|
| |
19. |
Solve . |
| |
|
A. |
no solution |
B. |
1 |
| |
|
C. |
{1, –1} |
D. |
–1 |
| |
|
Hint |
|
| |
20. |
Which of the following is not a necessary condition of all right triangles? |
| |
|
A. |
The largest angle is 90°. |
B. |
a2 + b2 = c2, where c is the length of the hypotenuse, and a and b are the lengths of the legs. |
| |
|
C. |
a < b |
D. |
The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. |
| |
|
Hint |
|
|
|