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1. |
Sarah must maintain a balance of at least $500 in her checking account to avoid finance charges. If her current balance is $794, write an inequality to determine how many times she can withdraw $25 for shopping without paying finance charges. |
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A. |
25w 294 |
B. |
25w 794 |
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C. |
25w 500 |
D. |
25w 106 |
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Hint |
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2. |
Students from the local high school are selling tickets to the town's annual carnival. Adult admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first day, 440 tickets had been sold totaling $1900. How many adults and how many children entered the carnival during the first two hours it was open? |
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A. |
293 adults, 147 children |
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B. |
320 adults, 120 children |
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C. |
220 adults, 220 children |
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D. |
380 adults, 760 children |
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Hint |
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3. |
Use elimination to solve the system of equations shown below. 2x - 4y = -5 3x + 4y = -15 |
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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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4. |
Solve the equation x2 = 0.81. |
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A. |
x = -0.9 only |
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B. |
x = 0.9 only |
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C. |
x = 0.9 or x = -0.9 |
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D. |
none of these is correct |
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Hint |
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5. |
Find . |
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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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6. |
Find the difference:  |
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A. |
-3x2 + x - 5 |
B. |
-3x2 - 7x - 5 |
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C. |
3x2 - 7x - 5 |
D. |
-3x2 - 7x + 1 |
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Hint |
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7. |
Simplify  |
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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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8. |
Find the product of (4n + 5) and (2n + 3). |
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A. |
8n2 + 22n - 15 |
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B. |
6n2 + 20n + 12 |
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C. |
8n2 + 22n + 15 |
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D. |
6n2 + 18n + 8 |
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Hint |
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9. |
Find the equation that contains a decreasing linear relationship. |
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A. |
y = 4x – 3 |
B. |
y = 5 – 6x |
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C. |
y = 12+ 2x |
D. |
y = 10 + x |
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Hint |
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10. |
What is the equation of a line that has a slope of –1 and passes through (–2, 0)? |
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A. |
y = –x – 2 |
B. |
y = –x – 1 |
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C. |
y = –2x + 1 |
D. |
y = –x + 2 |
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Hint |
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11. |
Consider the equation xy = 3. What happens to the value of y when x doubles? |
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A. |
y quarters |
B. |
y triples |
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C. |
y halves |
D. |
y doubles |
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Hint |
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12. |
What is true of the second differences for the equation x2 – 6x + 12? |
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A. |
they are constant |
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B. |
they decrease by 1 |
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C. |
they increase by 1 |
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D. |
they increase by 12 |
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Hint |
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13. |
What type of relationship does the equation have if its second differences are constant? |
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A. |
constant |
B. |
quadratic |
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C. |
cubic |
D. |
linear |
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Hint |
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14. |
Find the values for m and n which the conjecture (m – n)2 = m2 – n2 is false. |
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A. |
m = 1, n = 0 |
B. |
m = –2, n = 0 |
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C. |
m = 1, n = 1 |
D. |
m = 1, n = 2 |
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Hint |
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15. |
The population of fish in Mark's lake is 500 this year. If the population increases by 6.9% a year, what number can Mark multiply this year's population by to estimate the fish population in the lake next year? |
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A. |
6.9 |
B. |
0.0931 |
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C. |
1.069 |
D. |
1.69 |
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Hint |
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16. |
Identify the growth factor in the equation p = 682,363 × 1.08n where p is the population and n is the number of years after 2001. |
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A. |
p |
B. |
n |
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C. |
682,363 |
D. |
1.08 |
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Hint |
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17. |
Which equation represents exponential decay? |
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A. |
y = 63 × 4x |
B. |
y = 63 × 0.4x |
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C. |
y = 63 × 4.4x |
D. |
y = · 63x |
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Hint |
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18. |
How could you use the graph of h = 20t – 6t2 to estimate the solution(s) of 20t – 6t2 = 7, where h stands for height and t stands for time? |
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A. |
Draw a vertical line at t = 20 and find where it intersects the curve. |
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B. |
Draw a vertical line at t = 7 and find where it intersects the curve. |
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C. |
Draw a horizontal line at h = 7 and find where it intersects the curve. |
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D. |
Draw a horizontal line at h = 20 and find where it intersects the curve. |
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Hint |
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19. |
How many solutions can a graph of y = ax2 + bx + c have? |
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A. |
two |
B. |
all answers are correct |
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C. |
one |
D. |
zero |
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Hint |
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20. |
Scale the figure below by . |
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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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