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1. |
Use substitution to solve the system of equations given below.
y = 2x
5x - y = -24 |
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A. |
(-4, -8) |
B. |
no solution |
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C. |
(-8, -16) |
D. |
infinitely many solutions |
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Hint |
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2. |
Simplify  Assume the denominator is not equal to zero. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
Evaluate  . Express the result in scientific notation. |
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A. |
8.0 × 10-9 |
B. |
80 × 10-8 |
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C. |
0.8 × 10-8 |
D. |
8.0 × 10-7 |
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Hint |
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4. |
Find (5t2 - 2w)2 |
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A. |
25t4 + 4w2 |
B. |
25t4 – 4w2 |
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C. |
25t4 – 20t2w + 4w2 |
D. |
25t4 – 10t2w + 4w2 |
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Hint |
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5. |
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'(4, -4), B'(2, -6), C'(6, -5) |
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C. |
A'(0, 2), B'(-2, 0), C'(2, 1) |
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D. |
A'(-1, 1), B'(-3, -1), C'(1, 0) |
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Hint |
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6. |
State the excluded values of a and b in the expression  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
Solve  . |
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A. |
-2 |
B. |
1 or 4 |
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C. |
4 |
D. |
0 |
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Hint |
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8. |
Solve a2 - a - 20 = 0 by completing the square. |
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A. |
-5, 4 |
B. |
 |
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C. |
-4, 5 |
D. |
 |
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Hint |
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9. |
Find the equation that is nonlinear. |
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A. |
y = –3x – 1 |
B. |
y = 4y2 |
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C. |
y = 14 + 6x |
D. |
y = 8 – x |
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Hint |
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10. |
What is the equation of a line that has a slope of 3 and passes through (–4, –3)? |
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A. |
y = 3x – 9 |
B. |
y = 3x – 3 |
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C. |
y = 3x + 3 |
D. |
y = 3x + 9 |
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Hint |
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11. |
Describe how the graph of y = (x + 1)2 differs from the graph of y = x2. |
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A. |
the graph of y = (x + 1)2 moved 1 unit to the left |
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B. |
the graph of y = (x + 1)2 moved up 1 unit |
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C. |
the graph of y = (x+1)2 moved 1 unit to the right |
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D. |
the graph of y = (x + 1) 2 moved down 1 unit |
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Hint |
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12. |
Solve for y in terms of x.xy = 100 |
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A. |
y = 100x |
B. |
y =  |
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C. |
y =  |
D. |
x =  |
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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 y |
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B. |
the relationship is undefined at x = 0 |
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C. |
8 is divided into x |
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D. |
the product of xy is a constant, 8 |
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Hint |
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14. |
What is a conjecture? |
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A. |
a ''shot in the dark'' guess that hasn't been proved yet |
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B. |
an educated guess that hasn't been proved yet |
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C. |
an educated guess that has been proved |
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D. |
a ''shot in the dark'' guess that has been proved |
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Hint |
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15. |
Use an exponent to write 177,147 as a power of 3. |
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A. |
311 |
B. |
319 |
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C. |
317 |
D. |
39 |
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Hint |
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16. |
How many solutions can a graph of y = ax2 + bx + c have? |
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A. |
zero |
B. |
all answers are correct |
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C. |
two |
D. |
one |
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Hint |
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17. |
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. |
–8.32 |
B. |
–11.05 |
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C. |
–12.32 |
D. |
–9.05 |
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Hint |
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18. |
Solve the equation by backtracking. |
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A. |
y = 3 |
B. |
y =  |
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C. |
y = 1 |
D. |
y =  |
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Hint |
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19. |
Solve the equation by backtracking. |
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A. |
p = –10 |
B. |
p = –12 |
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C. |
p = 12 |
D. |
p = 12 and p = –12 |
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Hint |
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20. |
Give the approximate solutions of this equation.(2z – 3) 2 – 31 = 33 |
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A. |
z = –2.5 and z = –5.5 |
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B. |
z = 2.5 and z = –5.5 |
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C. |
z = –2.5 and z = 5.5 |
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D. |
z = 2.5 and z = 5.5 |
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Hint |
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