Question 1

Evaluate the expression.
-$\frac { 7 ( 3 ) + 4 } { 1 - 5 ( 2 ) }$

Accepted Answer

A)  $- \frac { 25 } { 9 }$ 
B)  $- \frac { 25 } { 8 }$ 
C)  $\frac { 25 } { 9 }$ 
D)  $- \frac { 49 } { 9 }$ 
A)  $- \frac { 25 } { 9 }$ 
B)  $- \frac { 25 } { 8 }$ 
C)  $\frac { 25 } { 9 }$ 
D)  $- \frac { 49 } { 9 }$

Question 2

Evaluate.
-12(-10)

Accepted Answer

A) -120 
B) -132 
C) -220 
D) -1200 
A) -120 
B) -132 
C) -220 
D) -1200

Question 3

Evaluate the expression.
-$$\left( 2 ^ { 3 } \right) ^ { 4 }$$

Accepted Answer

A) 32 
B) 128 
C) 24 
D) 4096 
A) 32 
B) 128 
C) 24 
D) 4096

Question 4

Evaluate.
-$\left( - \frac { 1 } { 23 } \right) \left( - \frac { 1 } { 6 } \right)$

Accepted Answer

A)  $- \frac { 1 } { 92 }$ 
B)  $\frac { 2 } { 35 }$ 
C)  $- \frac { 3 } { 35 }$ 
D)  $\frac { 1 } { 138 }$ 
A)  $- \frac { 1 } { 92 }$ 
B)  $\frac { 2 } { 35 }$ 
C)  $- \frac { 3 } { 35 }$ 
D)  $\frac { 1 } { 138 }$

Question 5

$\mathbf { Evaluate ~i)~ x ^ { 2 }~  and~ ii) - x ^ { 2 } ~ for~ the~ given~ value ~of  ~x . }$
-4

Accepted Answer

A)  i) $- 16$
ii) 16 
B)  i) 25
ii) $- 25$ 
C)  i) 16
ii) 16 
D)  i) 16
ii) $- 16$ 
A)  i) $- 16$
ii) 16 
B)  i) 25
ii) $- 25$ 
C)  i) 16
ii) 16 
D)  i) 16
ii) $- 16$

Question 6

Evaluate the expression.
-240 ÷ 5 - 4

Accepted Answer

A) 239 
B) 44 
C) 231 
D) 240 
A) 239 
B) 44 
C) 231 
D) 240

Question 7

Evaluate.
--3 + 16

Accepted Answer

A) 19 
B) 13 
C) -13 
D) -19 
A) 19 
B) 13 
C) -13 
D) -19

Question 8

Evaluate.
-$\frac { 4 } { 13 } \div \left( - \frac { 2 } { 7 } \right)$

Accepted Answer

A)  $\frac { 13 } { 14 }$ 
B)  $- \frac { 8 } { 91 }$ 
C)  $\frac { 14 } { 13 }$ 
D)  $- \frac { 14 } { 13 }$ 
A)  $\frac { 13 } { 14 }$ 
B)  $- \frac { 8 } { 91 }$ 
C)  $\frac { 14 } { 13 }$ 
D)  $- \frac { 14 } { 13 }$

Question 9

Evaluate the expression.
-$\frac { ( - 2 ) \cdot ( 6 - 3 ) + ( - 2 ) \cdot 4 } { ( - 2 ) \cdot ( 7 - 2 ) }$

Accepted Answer

A)  $\frac { 11 } { 3 }$ 
B) 1 
C)  $\frac { 7 } { 5 }$ 
D) 2 
A)  $\frac { 11 } { 3 }$ 
B) 1 
C)  $\frac { 7 } { 5 }$ 
D) 2

Question 10

Evaluate the absolute value expression.
-$\left|\frac { 4 } { 11 }\right|$

Accepted Answer

A)  $\frac { 4 } { 11 }$ 
B)  $- \frac { 4 } { 11 }$ 
C) 0 
D)  $\frac { 8 } { 11 }$ 
A)  $\frac { 4 } { 11 }$ 
B)  $- \frac { 4 } { 11 }$ 
C) 0 
D)  $\frac { 8 } { 11 }$

Question 11

Evaluate the expression for the given value or values.
-$( x + 3 y ) ^ { 2 } \text { when } x = 3 , y = 4$

Accepted Answer

A) 225 
B) 30 
C) 15 
D) 36 
A) 225 
B) 30 
C) 15 
D) 36

Question 12

Name the property illustrated by the statement.
-$\left( \frac { 1 } { 4 } \right) ( 4 ) = 1$

Accepted Answer

A) inverse property of multiplication 
B) associative property of multiplication 
C) identity property of multiplication 
D) distributive property 
A) inverse property of multiplication 
B) associative property of multiplication 
C) identity property of multiplication 
D) distributive property

Question 13

Evaluate the expression without using a calculator.
-$\left( \frac { 1 } { 9 } \right) ^ { 2 }$

Accepted Answer

A)  $\frac { 1 } { 18 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 1 } { 11 }$ 
D)  $\frac { 1 } { 81 }$ 
A)  $\frac { 1 } { 18 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 1 } { 11 }$ 
D)  $\frac { 1 } { 81 }$

Question 14

Evaluate the expression without using a calculator.
-$\sqrt [ 3 ] { - 343 }$

Accepted Answer

A) 7 
B) -7 
C) 49 
D) 19 
A) 7 
B) -7 
C) 49 
D) 19

Question 15

Find both the additive inverse and the multiplicative inverse for the given number.
-11

Accepted Answer

A)  $- 11 , - \frac { 1 } { 11 }$ 
B) 0, 1 
C)  $\frac { 1 } { 11 } , - 11$ 
D)  $- 11 , \frac { 1 } { 11 }$ 
A)  $- 11 , - \frac { 1 } { 11 }$ 
B) 0, 1 
C)  $\frac { 1 } { 11 } , - 11$ 
D)  $- 11 , \frac { 1 } { 11 }$

Question 16

Solve. Express the result in scientific notation. Round to the nearest hundredth, if necessary.
-A particle is observed moving at $9.39 \times 10 ^ { - 5 }$ meters per second. Find the distance the particle would travel in $5.22 \times 10 ^ { - 7 }$ sec seconds.

Accepted Answer

A)  $4.90 \times 10 ^ { - 12 } \text { meters }$ 
B)  $4.90 \times 10 ^ { - 10 } \text { meters }$ 
C)  $4.90 \times 10 ^ { - 11 } \text { meters }$ 
D)  $0.49 \times 10 ^ { - 11 } \text { meters }$ 
A)  $4.90 \times 10 ^ { - 12 } \text { meters }$ 
B)  $4.90 \times 10 ^ { - 10 } \text { meters }$ 
C)  $4.90 \times 10 ^ { - 11 } \text { meters }$ 
D)  $0.49 \times 10 ^ { - 11 } \text { meters }$

Question 17

Evaluate the absolute value expression.
-| $| - 23.5 |$

Accepted Answer

A) 47 
B) 23.5 
C) -23.5 
D) 0 
A) 47 
B) 23.5 
C) -23.5 
D) 0

Question 18

Evaluate the absolute value expression.
-$- | 16 |$

Accepted Answer

A) 32 
B) 0 
C) -16 
D) 16 
A) 32 
B) 0 
C) -16 
D) 16

Question 19

Simplify the expression. Assume that all variables represent nonzero integers.
-$\frac { x ^ { ( 7 a - 2 ) } } { x ^ { ( 3 a - 3 ) } }$

Accepted Answer

A)  $x ^ { ( 4 a + 1 ) }$ 
B)  $x ^ { ( 4 a - 5 ) }$ 
C)  $x ^ { ( - 4 a - 1 ) }$ 
D)  $x^{ ( 10 a - 5 )}$ 
A)  $x ^ { ( 4 a + 1 ) }$ 
B)  $x ^ { ( 4 a - 5 ) }$ 
C)  $x ^ { ( - 4 a - 1 ) }$ 
D)  $x^{ ( 10 a - 5 )}$

Question 20

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

Accepted Answer

A)  i) 27
ii) $- 27$ 
B)  i) $\quad - 27$
ii) 27 
C)  i) $\quad 9$
ii) $- 9$ 
D)  i) $- 27$
ii) $- 27$ 
A)  i) 27
ii) $- 27$ 
B)  i) $\quad - 27$
ii) 27 
C)  i) $\quad 9$
ii) $- 9$ 
D)  i) $- 27$
ii) $- 27$

Evaluate the expression. - $\frac { 7 ( 3 ) + 4 } { 1 - 5 ( 2 ) }$

Evaluate. -12(-10)

Evaluate the expression. - $\left( 2 ^ { 3 } \right) ^ { 4 }$

Evaluate. - $\left( - \frac { 1 } { 23 } \right) \left( - \frac { 1 } { 6 } \right)$

$\mathbf { Evaluate ~i)~ x ^ { 2 }~ and~ ii) - x ^ { 2 } ~ for~ the~ given~ value ~of ~x . }$ -4

Evaluate the expression. -240 ÷ 5 - 4

Evaluate. --3 + 16

Evaluate. - $\frac { 4 } { 13 } \div \left( - \frac { 2 } { 7 } \right)$

Evaluate the expression. - $\frac { ( - 2 ) \cdot ( 6 - 3 ) + ( - 2 ) \cdot 4 } { ( - 2 ) \cdot ( 7 - 2 ) }$

Evaluate the absolute value expression. - $\left|\frac { 4 } { 11 }\right|$

Evaluate the expression for the given value or values. - $( x + 3 y ) ^ { 2 } \text { when } x = 3 , y = 4$

Name the property illustrated by the statement. - $\left( \frac { 1 } { 4 } \right) ( 4 ) = 1$

Evaluate the expression without using a calculator. - $\left( \frac { 1 } { 9 } \right) ^ { 2 }$

Evaluate the expression without using a calculator. - $\sqrt [ 3 ] { - 343 }$

Find both the additive inverse and the multiplicative inverse for the given number. -11

Solve. Express the result in scientific notation. Round to the nearest hundredth, if necessary. -A particle is observed moving at $9.39 \times 10 ^ { - 5 }$ meters per second. Find the distance the particle would travel in $5.22 \times 10 ^ { - 7 }$ sec seconds.

Evaluate the absolute value expression. -| $| - 23.5 |$

Evaluate the absolute value expression. - $- | 16 |$

Simplify the expression. Assume that all variables represent nonzero integers. - $\frac { x ^ { ( 7 a - 2 ) } } { x ^ { ( 3 a - 3 ) } }$

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

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Exam 1: Basic Concepts

Evaluate the expression. - 7(3)+41−5(2)\frac { 7 ( 3 ) + 4 } { 1 - 5 ( 2 ) }1−5(2)7(3)+4​

Evaluate. -12(-10)

Evaluate the expression. - (23)4\left( 2 ^ { 3 } \right) ^ { 4 }(23)4

Evaluate. - (−123)(−16)\left( - \frac { 1 } { 23 } \right) \left( - \frac { 1 } { 6 } \right)(−231​)(−61​)

Evaluate i) x2 and ii)−x2 for the given value of x.\mathbf { Evaluate ~i)~ x ^ { 2 }~ and~ ii) - x ^ { 2 } ~ for~ the~ given~ value ~of ~x . }Evaluate i) x2 and ii)−x2 for the given value of x. -4