Question 1

Evaluate.
-$- \frac { 2 } { 9 } \div \left( \frac { 1 } { 4 } \right)$

Accepted Answer

A)  $- \frac { 8 } { 9 }$ 
B)  $- \frac { 1 } { 13 }$ 
C)  $- \frac { 1 } { 18 }$ 
D)  $- \frac { 2 } { 9 }$ 
A)  $- \frac { 8 } { 9 }$ 
B)  $- \frac { 1 } { 13 }$ 
C)  $- \frac { 1 } { 18 }$ 
D)  $- \frac { 2 } { 9 }$

Question 2

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth.
-$\left( \frac { 3 } { 7 } \right) ^ { 6 }$

Accepted Answer

A) 0.003 
B) 0.014 
C) 161.384 
D) 0.006 
A) 0.003 
B) 0.014 
C) 161.384 
D) 0.006

Question 3

Evaluate the expression without using a calculator.
-$\sqrt { 0.81 }$

Accepted Answer

A) 4.05 
B) 0.9 
C) 0.45 
D) 0.009 
A) 4.05 
B) 0.9 
C) 0.45 
D) 0.009

Question 4

Evaluate the expression.
-$5 ^ { - 1 } + 2 ^ { - 1 }$

Accepted Answer

A) 2 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 10 } { 7 }$ 
D)  $\frac { 7 } { 10 }$ 
A) 2 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 10 } { 7 }$ 
D)  $\frac { 7 } { 10 }$

Question 5

Evaluate the expression for the given value or values.
-$x ^ { 2 } + 5 x + 7 \text { when } x = - 3$

Accepted Answer

A) 1 
B) 17 
C) 31 
D) -13 
A) 1 
B) 17 
C) 31 
D) -13

Question 6

Evaluate the expression without using a calculator.
-$\sqrt [ 3 ] { 0.027 }$

Accepted Answer

A) 0.0003 
B) 0.3 
C) 0.03 
D) 0.003 
A) 0.0003 
B) 0.3 
C) 0.03 
D) 0.003

Question 7

Simplify the expression and write the answer without negative exponents.
-$- 4 z ^ { - 2 }$

Accepted Answer

A)  $- \frac { 4 } { z ^ { 2 } }$ 
B)  $\frac { 16 } { z ^ { 2 } }$ 
C)  $\frac { 1 } { 16 z ^ { 2 } }$ 
D)  $- \frac { 1 } { 16 z ^ { 2 } }$ 
A)  $- \frac { 4 } { z ^ { 2 } }$ 
B)  $\frac { 16 } { z ^ { 2 } }$ 
C)  $\frac { 1 } { 16 z ^ { 2 } }$ 
D)  $- \frac { 1 } { 16 z ^ { 2 } }$

Question 8

Simplify the expression and write the answer without negative exponents.
-$\frac { 3 m ^ { - 4 } n ^ { - 4 } } { 2 p ^ { - 5 } }$

Accepted Answer

A)  $\frac { 2 p ^ { 5 } } { 3 m ^ { 4 } n ^ { 4 } }$ 
B)  $\frac { 3 } { 2 m ^ { 4 } n ^ { 4 } p ^ { 5 } }$ 
C)  $\frac { 3 p ^ { 5 } } { 2 m ^ { 4 } n ^ { 4 } }$ 
D)  $\frac { 32 p ^ { 5 } } { 81 m ^ { 4 } n ^ { 4 } }$ 
A)  $\frac { 2 p ^ { 5 } } { 3 m ^ { 4 } n ^ { 4 } }$ 
B)  $\frac { 3 } { 2 m ^ { 4 } n ^ { 4 } p ^ { 5 } }$ 
C)  $\frac { 3 p ^ { 5 } } { 2 m ^ { 4 } n ^ { 4 } }$ 
D)  $\frac { 32 p ^ { 5 } } { 81 m ^ { 4 } n ^ { 4 } }$

Question 9

Evaluate the addition and subtraction problem.
-$8.1 - | 7.4 | - | 15.3 |$

Accepted Answer

A) 30.8 
B) -14.6 
C) 0.2 
D) 16 
A) 30.8 
B) -14.6 
C) 0.2 
D) 16

Question 10

Solve. Express the result in scientific notation. Round to the nearest hundredth, if necessary.
-If the density of a substance is $6.43 \times 10 ^ { - 7 }$ tons per cubic foot, what would be the mass of $6.13 \times 10 ^ { - 7 }$ cubic feet of this substance. (Use the formula D $\left. D = \frac { M } { V } . \right)$

Accepted Answer

A)  $3.94 \times 10 ^ { - 14 } \text { tons }$ 
B)  $3.94 \times 10 ^ { - 12 } \text { tons }$ 
C)  $3.94 \times 10 ^ { - 13 } \text { tons }$ 
D)  $0.39 \times 10 ^ { - 13 } \text { tons }$ 
A)  $3.94 \times 10 ^ { - 14 } \text { tons }$ 
B)  $3.94 \times 10 ^ { - 12 } \text { tons }$ 
C)  $3.94 \times 10 ^ { - 13 } \text { tons }$ 
D)  $0.39 \times 10 ^ { - 13 } \text { tons }$

Question 11

Evaluate the expression.
-$\left( \frac { 1 } { 4 } \right) ^ { 2 } \cdot \left( \frac { 1 } { 3 } - \frac { 5 } { 18 } \right)$

Accepted Answer

A)  $- \frac { 37 } { 144 }$ 
B)  $- \frac { 1 } { 63 }$ 
C)  $\frac { 1 } { 126 }$ 
D)  $\frac { 1 } { 288 }$ 
A)  $- \frac { 37 } { 144 }$ 
B)  $- \frac { 1 } { 63 }$ 
C)  $\frac { 1 } { 126 }$ 
D)  $\frac { 1 } { 288 }$

Question 12

Evaluate the expression without using a calculator.
-$\sqrt [ 3 ] { 1000 }$

Accepted Answer

A) -10 
B) 32 
C) 100 
D) 10 
A) -10 
B) 32 
C) 100 
D) 10

Question 13

Solve the problem.
-The table shows the students who had a score of 80 or higher on the first two tests in a chemistry class. (Note: Every student in the class had a different first name.) $$\begin{array} { c | c } 
\begin{array} { c  c } 
\text { First } \
\text { Test }
\end{array} & \begin{array} { c } 
\text { Second } \
\text { Test }
\end{array} \
\hline \text { Fred } & \text { Linda } \
\text { Sue } & \text { Earl } \
\text { Ken } & \text { Eloise } \
\text { Eloise } & \text { Fred } \
\text { Roger } & \text { Ken } \
\text { Bill } & \
\text { Cal } &
\end{array}$$ Find the set of students who had a score of 80 or higher on the first or second tests.

Accepted Answer

A) {Linda, Ken, Eloise, Roger } 
B) {Fred, Ken, Eloise} 
C) {Linda, Sue, Earl, Roger, Bill, Cal} 
D) {Fred, Linda, Sue, Earl, Ken, Eloise, Roger, Bill, Cal} 
A) {Linda, Ken, Eloise, Roger } 
B) {Fred, Ken, Eloise} 
C) {Linda, Sue, Earl, Roger, Bill, Cal} 
D) {Fred, Linda, Sue, Earl, Ken, Eloise, Roger, Bill, Cal}

Question 14

Express the number without exponents.
-$8.38 \times 10 ^ { 4 }$

Accepted Answer

A) 8380 
B) 83,800 
C) 838,000 
D) 335.2 
A) 8380 
B) 83,800 
C) 838,000 
D) 335.2

Question 15

List the set in roster form.
-$$S = \{ x \mid x \text { is a natural number less than } 5 \}$$

Accepted Answer

A) {1, 2, 3, 4, 5} 
B) {0, 1, 2, 3, 4, 5} 
C) {1, 2, 3, 4} 
D) {0, 1, 2, 3, 4} 
A) {1, 2, 3, 4, 5} 
B) {0, 1, 2, 3, 4, 5} 
C) {1, 2, 3, 4} 
D) {0, 1, 2, 3, 4}

Question 16

Evaluate.
-3 + (-14)

Accepted Answer

A) -17 
B) 11 
C) -11 
D) 17 
A) -17 
B) 11 
C) -11 
D) 17

Question 17

Express the number in scientific notation.
-66,600,000

Accepted Answer

A)  $6.66 \times 10 ^ { - 8 }$ 
B)  $6.66 \times 10 ^ { - 7 }$ 
C)  $6.66 \times 10 ^ { 8 }$ 
D)  $6.66 \times 10 ^ { 7 }$ 
A)  $6.66 \times 10 ^ { - 8 }$ 
B)  $6.66 \times 10 ^ { - 7 }$ 
C)  $6.66 \times 10 ^ { 8 }$ 
D)  $6.66 \times 10 ^ { 7 }$

Question 18

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth.
-$\sqrt [ 5 ] { 71.3 }$

Accepted Answer

A) 2.348 
B) 2.349 
C) 2.354 
D) 2.358 
A) 2.348 
B) 2.349 
C) 2.354 
D) 2.358

Question 19

$\mathbf { Evaluate ~i)~ x ^ { 3 }~  and~ ii) - x ^ { 3 } ~ for~ the~ given~ value ~of  ~x . }$
-$$- \frac { 1 } { 2 }$$

Accepted Answer

A)  i) $- \frac { 1 } { 8 }$
ii) $\frac { 1 } { 8 }$ 
B)  i) $\frac { 1 } { 4 }$
ii) $- \frac { 1 } { 4 }$ 
C)  i) $\frac { 1 } { 8 }$

ii) $\frac { 1 } { 8 }$ 
D)  i) $\frac { 1 } { 8 }$
ii) $- \frac { 1 } { 8 }$ 
A)  i) $- \frac { 1 } { 8 }$
ii) $\frac { 1 } { 8 }$ 
B)  i) $\frac { 1 } { 4 }$
ii) $- \frac { 1 } { 4 }$ 
C)  i) $\frac { 1 } { 8 }$

ii) $\frac { 1 } { 8 }$ 
D)  i) $\frac { 1 } { 8 }$
ii) $- \frac { 1 } { 8 }$

Question 20

Solve the problem.
-In 2001, Aaron purchased 100 shares of a pharmaceutical company's stock for a price of $2.30. In 2002, Aaron sold all 100 shares for a price of $6.70. What was Aaron's total gain or loss for this transaction?

Accepted Answer

A) gain of $44 
B) loss of $440 
C) loss of $44 
D) gain of $440 
A) gain of $44 
B) loss of $440 
C) loss of $44 
D) gain of $440

Evaluate. - $- \frac { 2 } { 9 } \div \left( \frac { 1 } { 4 } \right)$

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth. - $\left( \frac { 3 } { 7 } \right) ^ { 6 }$

Evaluate the expression without using a calculator. - $\sqrt { 0.81 }$

Evaluate the expression. - $5 ^ { - 1 } + 2 ^ { - 1 }$

Evaluate the expression for the given value or values. - $x ^ { 2 } + 5 x + 7 \text { when } x = - 3$

Evaluate the expression without using a calculator. - $\sqrt [ 3 ] { 0.027 }$

Simplify the expression and write the answer without negative exponents. - $- 4 z ^ { - 2 }$

Simplify the expression and write the answer without negative exponents. - $\frac { 3 m ^ { - 4 } n ^ { - 4 } } { 2 p ^ { - 5 } }$

Evaluate the addition and subtraction problem. - $8.1 - | 7.4 | - | 15.3 |$

Evaluate the expression. - $\left( \frac { 1 } { 4 } \right) ^ { 2 } \cdot \left( \frac { 1 } { 3 } - \frac { 5 } { 18 } \right)$

Evaluate the expression without using a calculator. - $\sqrt [ 3 ] { 1000 }$

Express the number without exponents. - $8.38 \times 10 ^ { 4 }$

List the set in roster form. - $S = \{ x \mid x \text { is a natural number less than } 5 \}$

Evaluate. -3 + (-14)

Express the number in scientific notation. -66,600,000

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth. - $\sqrt [ 5 ] { 71.3 }$

$\mathbf { Evaluate ~i)~ x ^ { 3 }~ and~ ii) - x ^ { 3 } ~ for~ the~ given~ value ~of ~x . }$ - $- \frac { 1 } { 2 }$

Solve the problem. -In 2001, Aaron purchased 100 shares of a pharmaceutical company's stock for a price of $2.30. In 2002, Aaron sold all 100 shares for a price of $6.70. What was Aaron's total gain or loss for this transaction?

Equations and Inequalities

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Polynomials and Polynomial Functions

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Exam 1: Basic Concepts

Evaluate. - −29÷(14)- \frac { 2 } { 9 } \div \left( \frac { 1 } { 4 } \right)−92​÷(41​)

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth. - (37)6\left( \frac { 3 } { 7 } \right) ^ { 6 }(73​)6

Evaluate the expression without using a calculator. - 0.81\sqrt { 0.81 }0.81​

Evaluate the expression. - 5−1+2−15 ^ { - 1 } + 2 ^ { - 1 }5−1+2−1

Evaluate the expression for the given value or values. - x2+5x+7 when x=−3x ^ { 2 } + 5 x + 7 \text { when } x = - 3x2+5x+7 when x=−3

Evaluate the expression without using a calculator. - 0.0273\sqrt [ 3 ] { 0.027 }30.027​

Simplify the expression and write the answer without negative exponents. - −4z−2- 4 z ^ { - 2 }−4z−2

Simplify the expression and write the answer without negative exponents. - 3m−4n−42p−5\frac { 3 m ^ { - 4 } n ^ { - 4 } } { 2 p ^ { - 5 } }2p−53m−4n−4​

Evaluate the addition and subtraction problem. - 8.1−∣7.4∣−∣15.3∣8.1 - | 7.4 | - | 15.3 |8.1−∣7.4∣−∣15.3∣

Evaluate the expression. - (14)2⋅(13−518)\left( \frac { 1 } { 4 } \right) ^ { 2 } \cdot \left( \frac { 1 } { 3 } - \frac { 5 } { 18 } \right)(41​)2⋅(31​−185​)

Evaluate the expression without using a calculator. - 10003\sqrt [ 3 ] { 1000 }31000​

Express the number without exponents. - 8.38×1048.38 \times 10 ^ { 4 }8.38×104

List the set in roster form. - S={x∣x is a natural number less than 5}S = \{ x \mid x \text { is a natural number less than } 5 \}S={x∣x is a natural number less than 5}