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1. |
The formula for the area of a trapezoid is  Solve the formula for h. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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2. |
Graph the solution set of  |
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A. |
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B. |
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C. |
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D. |
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Hint |
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3. |
Write an inequality for the following problem. One fourth of a number increased by 17 is at least 63. |
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B. |
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C. |
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D. |
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4. |
Write an equation of the line that passes through (10,-4) and is perpendicular to the line whose equation is  |
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B. |
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5. |
State the solution of the system of equations graphed below. |
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A. |
(0, 3) |
B. |
(3, -1) |
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C. |
(3, 1) |
D. |
(-1, 3) |
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Hint |
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6. |
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena wants to keep costs at a minimum. Write the function that describes the cost of the quilt. |
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A. |
f(b, w) = 4b + 7w |
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B. |
f(b, w) = 0.80b + 1.20w |
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C. |
96 = 0.80b + 1.20w |
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D. |
96 = 4b + 7w |
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Hint |
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7. |
Solve the system of equations. 
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A. |
(1, 1, 2) |
B. |
infinite number of solutions |
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C. |
(0, -2, 7) |
D. |
no solution |
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Hint |
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8. |
Find the determinant of  |
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A. |
0 |
B. |
-21 |
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C. |
-16 |
D. |
-11 |
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Hint |
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9. |
Solve the equation | 4k + 6 | = 5k + 3. |
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A. |
{-1, 3} |
B. |
-1 |
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C. |
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D. |
3 |
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Hint |
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10. |
When the equation  is written in standard form, what is the value of B? |
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A. |
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B. |
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C. |
25 |
D. |
-25 |
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Hint |
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11. |
Find the slope of the line below. |
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A. |
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B. |
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12. |
What is the y-intercept of the graph of the line with equation  |
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A. |
7 |
B. |
-7 |
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D. |
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13. |
What is the inequality represented in the graph? |
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A. |
3x – 2y  0 |
B. |
3x – 2y  0 |
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C. |
3x + 2y 0 |
D. |
3x + 2y 0 |
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Hint |
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14. |
Solve the system of equations. –2x + 3y = 7
4x – 6y = 8. |
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A. |
y = –22, x = 29.5 |
B. |
y = –22, x = –36.5 |
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C. |
y = –22, x = –31 |
D. |
no solution |
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Hint |
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15. |
The matrix  is an example of which of the following matrices? |
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A. |
column matrix |
B. |
square matrix |
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C. |
row matrix |
D. |
all of the above |
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Hint |
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16. |
Find A – B if  and  |
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B. |
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17. |
Find the product of  |
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B. |
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C. |
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Hint |
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18. |
Evaluate  |
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A. |
–128 |
B. |
–38 |
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C. |
128 |
D. |
38 |
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Hint |
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19. |
Which method of finding solutions would work best to find the solutions to the system 12.4x – 3.66y = 12.19, 3.9x + 6.17y = 19.28, and why? |
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A. |
elimination, because 6.17 is a factor of 3.66 |
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B. |
Cramer's Rule, because none of the other methods will correctly solve the problem |
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C. |
Cramer's Rule, because there are fewer calculations. |
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D. |
elimination, because Cramer's Rule doesn't apply to this problem |
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Hint |
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20. |
In order for a matrix to have an inverse, what must be true? |
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A. |
ad – bc  0 |
B. |
ad – bc 1 |
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C. |
ad – bc = 0 |
D. |
ad – bc = 1 |
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Hint |
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