Question 1

Evaluate: $$- 8 + ( - 20 )$$

Accepted Answer

A)  -12 
B)  -28 
C)  12 
D)  28 
E)  18

Question 2

Write the reciprocal of the expression below. Assume the variables do not equal zero. $$\frac { x } { y }$$

Accepted Answer

A)  $\frac { y } { x }$ 
B)  $- \frac { y } { x }$ 
C)  $- \frac { 1 } { x }$ 
D)  $y$ 
E)  $- x$

Question 3

Simplify the expression without a calculator. $\sqrt { ( 7 - ( - 5 ) ) ^ { 2 } + ( - 4 - 1 ) ^ { 2 } }$

Accepted Answer

A)  13 
B)  14 
C)  15 
D)  10 
E)  9

Question 4

Why is $7 < x < 1$ not a true statement?

Accepted Answer

A)  A number cannot be less 7. 
B)  A number cannot be less than 1 and less than 7. 
C)  A number cannot be greater than 1 and greater than 7. 
D)  A number cannot be less than 1 and greater than 7. 
E)  A number cannot be less than 7 and greater than 1.

Question 5

Evaluate: (-2 )3(-4)2(-2)3

Accepted Answer

A)  -256 
B)  -288 
C)  1024 
D)  -32 
E)  256

Question 6

Evaluate: 4 - 12

Accepted Answer

A)  16 
B)  -8 
C)  -16 
D)  8 
E)  -48

Question 7

Evaluate: 13 - (-19)

Accepted Answer

A)  32 
B)  -6 
C)  -32 
D)  6 
E)  247

Question 8

Write the pair of inequalities as a compound inequality. Use only $ x$

Accepted Answer

A)  $- \frac { 1 } { 8 } \leq x < \frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 3 } \leq x < - \frac { 1 } { 8 }$ 
C)  $- \frac { 1 } { 8 } < x \leq \frac { 1 } { 3 }$ 
D)  $\frac { 1 } { 3 } < x \leq - \frac { 1 } { 8 }$ 
E)  $- \frac { 1 } { 8 } \leq x \leq \frac { 1 } { 3 }$

Question 9

Simplify the expression (6 ft)3. Use the definition of positive integer exponents.

Accepted Answer

A)  18 ft 
B)  18 ft3 
C)  216 ft 
D)  36 ft3 
E)  216 ft3

Question 10

Multiply: $$- \frac { 3 } { 10 } \cdot \frac { 4 } { 9 }$$

Accepted Answer

A)  $- \frac { 2 } { 15 }$ 
B)  $- \frac { 27 } { 40 }$ 
C)  $\frac { 1 } { 90 }$ 
D)  $\frac { 13 } { 90 }$ 
E)  $- \frac { 6 } { 5 }$

Question 11

Evaluate: $$- 16 + ( - 9 ) + 10$$

Accepted Answer

A)  -35 
B)  35 
C)  17 
D)  -15 
E)  -13

Question 12

Your assistant brings four bills for $10 each. Find the change in net worth for your business.

Accepted Answer

A)  -$40 
B)  $40 
C)  -$30 
D)  -$60 
E)  $60

Question 13

What are the surface area S and volume V of a cylinder with radius 3 cm and height 4 cm? Use $\pi$ from a calculator. Choices are rounded to the nearest tenth.

Accepted Answer

A)  S = 113.1 cm2 ; V = 150.8 cm3 
B)  S = 131.9 cm2 ; V = 113.1 cm3 
C)  S = 75.4 cm2 ; V = 28.3 cm3 
D)  S = 103.7 cm2; V = 150.8 cm3 
E)  S = 75.4 cm2; V = 131.9 cm3

Question 14

What is $\frac { 3 } { 8 }$ divided by $- \frac { 11 } { 2 }$ ?

Accepted Answer

A)  $- \frac { 41 } { 8 }$ 
B)  $- \frac { 5 } { 3 }$ 
C)  $- \frac { 3 } { 44 }$ 
D)  $\frac { 5 } { 88 }$ 
E)  $- \frac { 33 } { 16 }$

Question 15

Evaluate: $$\left( - \frac { 2 } { 5 } \right) ^ { 5 }$$

Accepted Answer

A)  $\frac { 32 } { 3125 }$ 
B)  $- \frac { 2 } { 625 }$ 
C)  $- \frac { 2 } { 5 }$ 
D)  $- \frac { 32 } { 3125 }$ 
E)  $- \frac { 32 } { 5 }$

Question 16

Simplify: $$- 11 ( a + 3 )$$

Accepted Answer

A)  $11 a - 8$ 
B)  $- 11 a - 33$ 
C)  $- 8 a - 33$ 
D)  $- 11 a - 8$ 
E)  $- 8 a + 3$

Question 17

Calculate the expression. $$- ( - 2 )$$

Accepted Answer

A)  2 
B)  -2 
C)  $- \frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 2 }$ 
E)  1

Question 18

Evaluate: 5(-3 )4

Accepted Answer

A)  405 
B)  -405 
C)  -60 
D)  $\frac { 4 } { 15 }$ 
E)  60

Question 19

Fill in the correct sign:  -6 ___ 7

Accepted Answer

A)  > 
B)  < 
C)  =

Question 20

What is $- ( - x )$ , if $x = - 8$ ?

Accepted Answer

A)  -8 
B)  8 
C)  -7 
D)  7 
E)  10

Exam 2: Operations With Real Numbers

Evaluate: $- 8 + ( - 20 )$

Write the reciprocal of the expression below. Assume the variables do not equal zero. $\frac { x } { y }$

Simplify the expression without a calculator. $\sqrt { ( 7 - ( - 5 ) ) ^ { 2 } + ( - 4 - 1 ) ^ { 2 } }$

Why is $7 < x < 1$ not a true statement?

Evaluate: (-2 ) ³(-4) ²(-2) ³

Evaluate: 4 - 12

Evaluate: 13 - (-19)

Write the pair of inequalities as a compound inequality. Use only $<$ or $\leq$ . $x \geq - \frac { 1 } { 8 } \text { and } \frac { 1 } { 3 } > x$

Simplify the expression (6 ft) ³. Use the definition of positive integer exponents.

Multiply: $- \frac { 3 } { 10 } \cdot \frac { 4 } { 9 }$

Evaluate: $- 16 + ( - 9 ) + 10$

Your assistant brings four bills for $10 each. Find the change in net worth for your business.

What are the surface area S and volume V of a cylinder with radius 3 cm and height 4 cm? Use $\pi$ from a calculator. Choices are rounded to the nearest tenth.

What is $\frac { 3 } { 8 }$ divided by $- \frac { 11 } { 2 }$ ?

Evaluate: $\left( - \frac { 2 } { 5 } \right) ^ { 5 }$

Simplify: $- 11 ( a + 3 )$

Calculate the expression. $- ( - 2 )$

Evaluate: 5(-3 ) ⁴

Fill in the correct sign: <, =, or > -6 ___ 7

What is $- ( - x )$ , if $x = - 8$ ?

Exam 2: Operations With Real Numbers

Evaluate: −8+(−20) - 8 + ( - 20 ) −8+(−20)

Write the reciprocal of the expression below. Assume the variables do not equal zero. xy\frac { x } { y }yx​

Simplify the expression without a calculator. (7−(−5) ) 2+(−4−1) 2\sqrt { ( 7 - ( - 5 ) ) ^ { 2 } + ( - 4 - 1 ) ^ { 2 } }(7−(−5) ) 2+(−4−1) 2​

Why is 7<x<17 < x < 17<x<1 not a true statement?

Evaluate: (-2 ) 3(-4) 2(-2) 3

Evaluate: 4 - 12

Evaluate: 13 - (-19)

Write the pair of inequalities as a compound inequality. Use only <<< or ≤\leq≤ . x≥−18 and 13>xx \geq - \frac { 1 } { 8 } \text { and } \frac { 1 } { 3 } > xx≥−81​ and 31​>x

Simplify the expression (6 ft) 3. Use the definition of positive integer exponents.

Multiply: −310⋅49- \frac { 3 } { 10 } \cdot \frac { 4 } { 9 }−103​⋅94​

Evaluate: −16+(−9) +10- 16 + ( - 9 ) + 10−16+(−9) +10

Your assistant brings four bills for $10 each. Find the change in net worth for your business.

What are the surface area S and volume V of a cylinder with radius 3 cm and height 4 cm? Use π\piπ from a calculator. Choices are rounded to the nearest tenth.

What is 38\frac { 3 } { 8 }83​ divided by −112- \frac { 11 } { 2 }−211​ ?

Evaluate: (−25) 5\left( - \frac { 2 } { 5 } \right) ^ { 5 }(−52​) 5

Simplify: −11(a+3) - 11 ( a + 3 ) −11(a+3)

Calculate the expression. −(−2) - ( - 2 ) −(−2)

Evaluate: 5(-3 ) 4

Fill in the correct sign: <, =, or > -6 ___ 7

What is −(−x) - ( - x ) −(−x) , if x=−8x = - 8x=−8 ?

Evaluate: $- 8 + ( - 20 )$

Write the reciprocal of the expression below. Assume the variables do not equal zero. $\frac { x } { y }$

Simplify the expression without a calculator. $\sqrt { ( 7 - ( - 5 ) ) ^ { 2 } + ( - 4 - 1 ) ^ { 2 } }$

Why is $7 < x < 1$ not a true statement?

Evaluate: (-2 ) ³(-4) ²(-2) ³

Write the pair of inequalities as a compound inequality. Use only $<$ or $\leq$ . $x \geq - \frac { 1 } { 8 } \text { and } \frac { 1 } { 3 } > x$

Simplify the expression (6 ft) ³. Use the definition of positive integer exponents.

Multiply: $- \frac { 3 } { 10 } \cdot \frac { 4 } { 9 }$

Evaluate: $- 16 + ( - 9 ) + 10$

What are the surface area S and volume V of a cylinder with radius 3 cm and height 4 cm? Use $\pi$ from a calculator. Choices are rounded to the nearest tenth.

What is $\frac { 3 } { 8 }$ divided by $- \frac { 11 } { 2 }$ ?

Evaluate: $\left( - \frac { 2 } { 5 } \right) ^ { 5 }$

Simplify: $- 11 ( a + 3 )$

Calculate the expression. $- ( - 2 )$

Evaluate: 5(-3 ) ⁴

What is $- ( - x )$ , if $x = - 8$ ?