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1. |
Evaluate the expression –2a3 + 3z2 if a = –3 and z = 2. |
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A. |
-180 |
B. |
-42 |
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C. |
66 |
D. |
252 |
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Hint |
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2. |
Simplify the expression  |
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A. |
-4a3b3c |
B. |
-4a4b2c |
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C. |
-4a4b2 |
D. |
-4a3b3 |
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Hint |
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3. |
Simplify  . |
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A. |
 |
B. |
-2c2 |
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C. |
-2a4c2 |
D. |
-2a4b4c2 |
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Hint |
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4. |
Which is the correct definition for a number expressed in scientific notation? |
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A. |
A number is expressed in scientific notation when it is in the form a × 10n, where  and n is an integer. |
B. |
A number is expressed in scientific notation when it is in the form a × 10n, where and n is a whole number. |
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C. |
A number is expressed in scientific notation when it is in the form a × 10n, where  and n is a whole number. |
D. |
A number is expressed in scientific notation when it is in the form a × 10n, where and n is an integer. |
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Hint |
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5. |
To determine the speed of a vehicle involved in an accident, police officers use the formula  . In the formula, s is the speed in miles per hour, d is the length of the skid marks in feet, and f is the friction factor. Suppose for a particular accident d = 45 feet and f = 0.8. What was the approximate speed of the vehicle? |
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A. |
198 miles per hour |
B. |
84 miles per hour |
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C. |
33 miles per hour |
D. |
14 miles per hour |
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Hint |
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6. |
Numbers that are expressed using exponents are called ________. |
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A. |
powers |
B. |
perfect squares |
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C. |
scientific numbers |
D. |
bases |
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Hint |
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7. |
Simplify the expression  . |
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A. |
m5 |
B. |
m21 |
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C. |
m1.625 |
D. |
m-5 |
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Hint |
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8. |
Simplify the expression  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Evaluate the expression 0.000008 × 17,000,000,000. |
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A. |
136 |
B. |
136,000 |
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C. |
1,360,000 |
D. |
13,600 |
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Hint |
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10. |
Simplify the expression  . |
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A. |
9 |
B. |
12 |
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C. |
13 |
D. |
17 |
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Hint |
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11. |
Estimate the square root  . |
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A. |
13 |
B. |
196 |
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C. |
169 |
D. |
14 |
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Hint |
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12. |
Chris is making a square patio of square stones that each measure 1 ft2. If each stone costs two dollars and he can spend no more than $956.00, how long can the patio be? |
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A. |
31 ft |
B. |
30 ft |
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C. |
21 ft |
D. |
22 ft |
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Hint |
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13. |
If c is the measure of the longest side of a triangle and c2 = a2 + b2, then ___________________. |
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A. |
the triangle is a right triangle |
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B. |
the triangle is not a right triangle |
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C. |
the triangle is an isosceles triangle |
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D. |
the triangle is not an isosceles triangle |
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Hint |
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14. |
Determine if the triangle is a right triangle. Explain. |
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A. |
Yes; the sum of the lengths of the legs is equal to the length of the hypotenuse. |
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B. |
Yes; the sum of the squares of the lengths of the legs is equal to the square of the hypotenuse. |
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C. |
No; the sum of the squares of the lengths of the legs is not equal to the square of the hypotenuse. |
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D. |
No; the sum of the lengths of the legs is not equal to the length of the hypotenuse. |
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Hint |
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