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1. |
The sum of two numbers is 36. Twice the first number minus the second is 6. Find the numbers. |
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A. |
(10, 26) |
B. |
(30, 6) |
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C. |
(14, 22) |
D. |
(42, 6) |
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Hint |
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2. |
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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3. |
Find (x + 3)(x - 5). |
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A. |
x2 - 2x - 15 |
B. |
x2 + 8x - 15 |
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C. |
x2 - 15 |
D. |
x2 + 2x - 15 |
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Hint |
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4. |
Find (x – 3)(x + 3). |
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A. |
x2 - 9 |
B. |
x2 - 6x + 9 |
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C. |
x2 - 6x - 9 |
D. |
x2 + 9 |
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Hint |
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5. |
Rectangle DEFG has vertices D(-4, -1), E(-2, -1), F(-2, -4), and G(-4, -4). Which graph shows the translation image of the rectangle that is 6 units right and 3 units up? |
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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. |
Simplify the polynomial 4a2 + a2. |
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A. |
5a2 |
B. |
4a2 |
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C. |
6a2 |
D. |
4a2 + a |
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Hint |
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7. |
Find a quadratic equation for the table. |
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A. |
y = 5x2 – 2 |
B. |
y = 5x2 + 1 |
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C. |
y = 5x2 – 1 |
D. |
y = x2 – 5 |
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Hint |
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8. |
Consider the equation . What happens to the value of y when x is divided by 4? |
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A. |
y is added to 4 |
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B. |
y is divided by 4 |
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C. |
y is multiplied by 4 |
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D. |
y is subtracted from 4 |
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Hint |
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9. |
Which curve represents exponential decay? |
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A. |
curve b |
B. |
curve d |
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C. |
curve a |
D. |
curve c |
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Hint |
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10. |
Find a solution to the equation using backtracking.
 |
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A. |
n = 10 |
B. |
n = –89 |
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C. |
n = –12 |
D. |
n = –100 |
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Hint |
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11. |
Find a solution to the equation using backtracking.
 |
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A. |
c = 2 |
B. |
c = –1 |
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C. |
c = –14 |
D. |
c = 8 |
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Hint |
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12. |
Using the figure below as a basic design element, choose a center of rotation and make a design with a 60° angle of rotation. Choose the correct figure. |
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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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13. |
Find the correct representation of a translation. |
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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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14. |
Find the correct representation of a glide reflection. |
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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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15. |
Solve the equation by backtracking. |
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A. |
p = –12 |
B. |
p = 12 and p = –12 |
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C. |
p = 12 |
D. |
p = –10 |
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Hint |
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16. |
Give the approximate solution of this equation.5 + (2c – 3) 2 = 5 |
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A. |
c = 1.5 and c = –1.5 |
B. |
c = –1.5 |
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C. |
c = 1.5 |
D. |
c = –1.5 and c = –1.5 |
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Hint |
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17. |
Solve the equation.x2 – 2x – 3 = 0 |
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A. |
x = 2 and x = –1 |
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B. |
x = 3 and x = –1 |
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C. |
x = 5 and x = 0 |
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D. |
x = –5 and x = 0 |
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Hint |
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18. |
Find the domain of the function.y = –x + 3 |
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A. |
all real numbers except –3 |
B. |
all real numbers except 1 |
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C. |
all real numbers |
D. |
all real numbers except 3 |
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Hint |
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19. |
Suppose one player rolls a 6-sided die numbered 1 to 6, and a second player rolls an 8-sided die numbered 1 to 8. They find the difference between the numbers subtracting the lesser number from the greater number. Which difference gives the greatest probability? |
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A. |
2 |
B. |
4 |
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C. |
1 |
D. |
3 |
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Hint |
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20. |
To win the 2-of-7 lottery game, players must match two numbers from 1 to 7 with those selected in a random drawing. How many ways are there to select the first number? |
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A. |
14 |
B. |
2 |
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C. |
7 |
D. |
42 |
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Hint |
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