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1. |
Which equation is the slope-intercept form of the equation of the line that passes through (1, 2) and is parallel to 4x - 2y = 6? |
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A. |
y = 2x |
B. |
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C. |
y = 4x + 3 |
D. |
y = -2x + 1 |
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Hint |
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2. |
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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3. |
The sum of two numbers is 36. Twice the first number minus the second is 6. Find the numbers. |
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A. |
(30, 6) |
B. |
(14, 22) |
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C. |
(42, 6) |
D. |
(10, 26) |
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Hint |
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4. |
Simplify (7a4b) (8a7b6). |
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A. |
15a28b6 |
B. |
56a28b6 |
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C. |
15a11b7 |
D. |
56a11b7 |
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Hint |
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5. |
Simplify Assume the denominator is not equal to zero. |
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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. |
Solve the system of equations y = 3x + 4 and by graphing. |
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A. |
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B. |
(3, 5) |
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C. |
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D. |
(-3, -5) |
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Hint |
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7. |
Find a number that when squared equals 484. |
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A. |
None of these is correct |
B. |
22 only |
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C. |
22 or -22 |
D. |
-22 only |
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Hint |
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8. |
What is the equation of the graph shown? |
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A. |
f(x) = -2x2 + 2x + 1 |
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B. |
f(x) = 2x2 + 2x + 1 |
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C. |
f(x) = -2x2 + 2x - 1 |
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D. |
f(x) = 2x2 - 2x + 1 |
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Hint |
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9. |
Which characteristic describes a graph that is linear and has direct variation. |
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A. |
Variables x and y are not proportional. |
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B. |
The equation has the form y = mx + b. |
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C. |
The graph does not pass through (0, 0). |
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D. |
The equation has the form y = mx. |
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Hint |
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10. |
Find the table that represents a graph with direct variation. |
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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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11. |
Which table shows a quadratic relationship? |
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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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12. |
Find a quadratic equation for the table. |
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A. |
y = 5x2 + 1 |
B. |
y = 5x2 – 1 |
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C. |
y = 5x2 – 2 |
D. |
y = x2 – 5 |
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Hint |
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13. |
In the relationship , why is y inversely proportional to x? |
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A. |
8 is divided into x |
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B. |
the relationship is undefined at x = 0 |
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C. |
the product of xy is a constant, 8 |
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D. |
8 is divided into y |
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Hint |
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14. |
How does a affect graphs of equations in the form of ? |
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A. |
a affects the length of the graph |
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B. |
positive values of a move the graph to the left, negative values move it to the right |
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C. |
a affects the width of the graph |
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D. |
negative values of a move the graph to the left, positive values move it to the right |
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Hint |
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15. |
What is a conjecture? |
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A. |
an educated guess that has been proved |
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B. |
a ''shot in the dark'' guess that hasn't been proved yet |
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C. |
a ''shot in the dark'' guess that has been proved |
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D. |
an educated guess that hasn't been proved yet |
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Hint |
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16. |
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. |
1.69 |
D. |
1.069 |
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Hint |
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17. |
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. |
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A. |
p |
B. |
0.89 |
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C. |
1,508,069 |
D. |
n |
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Hint |
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18. |
Find a solution to the equation using backtracking.
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A. |
a = 5 |
B. |
a = –2 |
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C. |
a = 2 |
D. |
a = 3 |
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Hint |
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19. |
Find a solution to the equation by doing the same thing to both sides. 8p + 14 = 2p – 22 |
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A. |
p = –6 |
B. |
p = –1 |
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C. |
p = 1 |
D. |
p = 6 |
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Hint |
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20. |
Toby needs to create a rectangular pen for his dog. He decides that the area of the pen will be 100 square feet with its length 2 feet longer than its width. As you find the width of the pen, which solution can be thrown away since the width cannot be negative? |
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A. |
–12.32 |
B. |
–8.32 |
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C. |
–11.05 |
D. |
–9.05 |
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Hint |
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