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1. |
Three out of the four equations listed below are equations of lines that are parallel to each other. Which equation does not have a graph that is a line parallel to the other three? |
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A. |
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B. |
3x + 4y = -16 |
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C. |
8y = - 6x |
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D. |
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Hint |
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2. |
Evaluate (3.2 × 10-5)(5.4 × 109). Express the result in scientific notation. |
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A. |
0.1728 × 106 |
B. |
1.728 × 103 |
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C. |
1.728 × 105 |
D. |
17.28 × 104 |
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Hint |
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3. |
Find (5t2 - 2w)2 |
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A. |
25t4 – 20t2w + 4w2 |
B. |
25t4 – 4w2 |
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C. |
25t4 – 10t2w + 4w2 |
D. |
25t4 + 4w2 |
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Hint |
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4. |
The vertices of are A(2, -1), B(0, -3), and C(4, -2). Find the vertices of the triangle after a translation 2 units right and 3 units down. |
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A. |
A'(4, 2), B'(2, 0), C'(6, 1) |
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B. |
A'(0, 2), B'(-2, 0), C'(2, 1) |
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C. |
A'(4, -4), B'(2, -6), C'(6, -5) |
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D. |
A'(-1, 1), B'(-3, -1), C'(1, 0) |
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Hint |
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5. |
Solve a2 – 12a = -27. |
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A. |
a = -27 or a = -15 |
B. |
a = 9 |
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C. |
a = 3 |
D. |
a = 3 or a = 9 |
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Hint |
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6. |
Simplify the polynomial 4a2 + a2. |
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A. |
6a2 |
B. |
5a2 |
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C. |
4a2 |
D. |
4a2 + a |
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Hint |
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7. |
Simplify the expression 2a + 7b + 12a + 3b and then evaluate if a = 2 and b = -2. |
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A. |
10a + 14b; -8 |
B. |
14a + 10b; 8 |
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C. |
9a + 15b; -12 |
D. |
14a + 8b; 12 |
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Hint |
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8. |
Add 3x2 + 2x - 1 and x2 - 3x + 5. |
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A. |
2x2 - 5x - 6 |
B. |
2x2 + 5x + 4 |
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C. |
4x2 - x + 4 |
D. |
4x2 + 5x - 4 |
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Hint |
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9. |
Find the difference:  |
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A. |
3x2 - 7x - 5 |
B. |
-3x2 - 7x + 1 |
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C. |
-3x2 - 7x - 5 |
D. |
-3x2 + x - 5 |
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Hint |
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10. |
Find the equation that contains a decreasing linear relationship. |
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A. |
y = 5 – 6x |
B. |
y = 10 + x |
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C. |
y = 4x – 3 |
D. |
y = 12+ 2x |
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Hint |
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11. |
Find a quadratic equation for the table. |
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A. |
y = x2 – 5 |
B. |
y = 5x2 – 2 |
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C. |
y = 5x2 + 1 |
D. |
y = 5x2 – 1 |
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Hint |
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12. |
How does a affect graphs of equations in the form of ? |
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A. |
a affects the width of the graph |
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B. |
negative values of a move the graph to the left, positive values move it to the right |
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C. |
positive values of a move the graph to the left, negative values move it to the right |
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D. |
a affects the length of the graph |
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Hint |
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13. |
Which differences are constant in a cubic equation? |
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A. |
third |
B. |
second |
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C. |
fourth |
D. |
first |
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Hint |
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14. |
Julian said, ''I'm thinking of a number. When I add 3 to my number, multiply the sum by 12, divide the product by 8, and subtract the result by 7, I get 11. What is the number I'm thinking of?'' |
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A. |
8 |
B. |
7 |
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C. |
10 |
D. |
9 |
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Hint |
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15. |
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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16. |
Write the expression in factored form.3x2 – 6x |
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A. |
3x (x + 2) |
B. |
3x (x – 2) |
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C. |
x (x – 6) |
D. |
3x (x – 6) |
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Hint |
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17. |
Solve the equation.6x2 – 12x + 3 = 0 |
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A. |
x = –0.29 and x = –1.71 |
B. |
x = 0.29 and x = –1.71 |
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C. |
x = 0.29 and x = 1.71 |
D. |
x = –0.29 and x = 1.71 |
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Hint |
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18. |
Consider the function f(x) = –x2 + 5. Write the new equation of the function after it has been translated 3 units down. |
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A. |
f(x) = –x2 + 2 |
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B. |
f(x) = –x2 + 8 |
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C. |
f(x) = –(x – 3) 2 + 5 |
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D. |
f(x) = –(x + 3) 2 + 5 |
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Hint |
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19. |
Find the x-intercepts of the graph of f(x) = x2 – 2x – 3. |
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A. |
–1, 4 |
B. |
–1, 3 |
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C. |
1, –4 |
D. |
1, –3 |
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Hint |
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20. |
Find the x-intercepts of the graph of f(x) = –x2 + 4x + 12. |
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A. |
2, 16 |
B. |
–2, 16 |
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C. |
–2, 6 |
D. |
–2, –6 |
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Hint |
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