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1. |
Write 3x3y5 as a multiplication expression. |
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A. |
2(3x3y5) |
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B. |
3 · 3 · x · 5 · y |
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C. |
3 · x · x · x · y · y · y · y · y |
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D. |
(xy2)3 |
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Hint |
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2. |
Select the correct first step when using the order of operations. |
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A. |
Do all operations within grouping symbols starting with the innermost grouping symbols. |
B. |
Do all additions and subtractions from left to right. |
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C. |
Evaluate all powers in order from left to right. |
D. |
Do all multiplications and divisions from left to right. |
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Hint |
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3. |
You can multiply powers with the same base by _____. |
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A. |
dividing the exponents |
B. |
adding the exponents |
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C. |
subtracting the exponents |
D. |
multiplying the exponents |
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Hint |
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4. |
Simplify 24 · 23. |
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A. |
212 |
B. |
47 |
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C. |
27 |
D. |
21 or 2 |
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Hint |
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5. |
The rule for negative exponents states that  Which statement is not a correct use of this rule? |
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A. |
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B. |
10-1 = 1 |
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C. |
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D. |
 |
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Hint |
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6. |
The rule for multiplying by powers of 10 states that if the exponent of the 10 is positive, then you move the decimal point __________. |
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A. |
to the left by the same number of spaces as the number in the exponent |
B. |
to the right by the number of spaces as the number in the exponent minus 1 |
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C. |
to the right by the same number of spaces as the number in the exponent |
D. |
to the right by the number of spaces as the number in the exponent plus 1 |
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Hint |
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7. |
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 an integer. |
D. |
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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Hint |
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8. |
A whole number that has exactly two factors, the number itself and 1, is called a ______. |
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A. |
prime number |
B. |
radical number |
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C. |
square number |
D. |
composite number |
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Hint |
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9. |
Simplify the expression  . |
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A. |
61 |
B. |
17 |
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C. |
19 |
D. |
21 |
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Hint |
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10. |
The distance around the equator of Jupiter is approximately
4.49 × 108m, and a normal football field is about 1.1 × 102m long. About how many football fields could fit lengthwise across Jupiter's equator? |
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A. |
408 football fields |
B. |
40,800,000,000 football fields |
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C. |
408,000 football fields |
D. |
4,080,000 football fields |
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Hint |
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11. |
Estimate the square root  . |
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A. |
4 |
B. |
25 |
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C. |
5 |
D. |
16 |
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Hint |
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12. |
To fertilize the crops on the farm he works at, Omari has to use no less than the fertilizer recommended for 262 yd2 of land. If the field has the same width and length, that are a whole number of yards long, how long is the field? |
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A. |
18 yd |
B. |
17 yd |
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C. |
19 yd |
D. |
16 yd |
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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 an isosceles triangle |
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C. |
the triangle is not a right triangle |
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D. |
the triangle is an isosceles triangle |
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Hint |
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14. |
Find the length of the leg of the right triangle. |
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A. |
17.7 cm |
B. |
12.5 cm |
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C. |
4 cm |
D. |
5 cm |
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Hint |
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