Question 1

Perform the indicated operation. Write the answer in scientific notation.
-$\frac { 9.14 \times 10 ^ { 6 } } { 2 \times 10 ^ { 3 } }$

Accepted Answer

A)   9.14 x 109 
B)   4.57 x 103 
C)   9.14 x 103 
D)   4.57 x 109

Question 2

Determine if the statement is true or false.
- 18<-2

Accepted Answer

A) True 
 B)False

Question 3

Evaluate the expression.
-$( - 4 ) ^ { 0 }$

Accepted Answer

A)  1 
B)  4 
C)   -1 
D)  0

Question 4

Write the phrase as a variable expression. Use x to represent "a number."
-The sum of a number and 97

Accepted Answer

A)  97 
B)   x+97 
C)   97-x 
D)   97x

Question 5

Place $\in$ Or $\notin$ in the space provided to make the statement true.
-$\frac { 7 } { 4 } ـــــــــــ \{ x \mid x$ is a rational number}

Accepted Answer

A)  $E$ 
B)  $\notin$

Question 6

Use the product rule to simplify the expression.
-$\left( - 3 x ^ { 6 } y \right) \left( - 9 x ^ { 3 } y ^ { 2 } \right)$

Accepted Answer

A)  $- 27 x ^ { 9 } y ^ { 2 }$ 
B)  $27 x ^ { 9 } y ^ { 3 }$ 
C)  $- 27 x ^ { 9 } y ^ { 3 }$ 
D)  $27 x ^ { 18 } y ^ { 2 }$

Question 7

Find the value of the expression.
-PPP

Accepted Answer

A)  64 
B)   -12 
C)   -16 
D)   -64

Question 8

Simplify the expression.
-$\frac { - 6 \left( 5 ^ { 3 } - 6 \right) + 7 } { 4 - 8 }$

Accepted Answer

A)  189 
B)  $\frac { 749 } { 4 }$ 
C)  $\frac { 26999 } { 4 }$ 
D)  $\frac { 707 } { 4 }$

Question 9

Simplify.
-6(4x - 4) - 5(x - 1)

Accepted Answer

A)  19x - 19 
B)  19x - 29 
C)  -6x - 19 
D)  19x - 5

Question 10

Add or subtract as indicated.
-Subtract  -10  from 1 .

Accepted Answer

A)  11 
B)   -11 
C)   -9 
D)  9

Question 11

Place $\in$ Or $\notin$ in the space provided to make the statement true.
-25 _____{x is an integer }

Accepted Answer

A)  $\notin$ 
B)  $\in$

Question 12

Which of these is NOT an end-of-chapter component designed to help you understand the concepts of the chapter?

Accepted Answer

A)  Chapter test 
B)  Calculator exercises 
C)  Vocabulary checks 
D)  Highlights

Question 13

Evaluate the expression for the given values.
-$\frac { \sqrt { x } } { 2 y } - \frac { y } { x }$ when  x=4  and  y=-1

Accepted Answer

A) $\frac { 3 } { 4 }$ 
B)  -$\frac { 3 } { 2 }$ 
C)  -$\frac { 5 } { 4 }$ 
D)  -$\frac { 3 } { 4 }$

Question 14

Write the sentence as an equation.
-The sum of  x  and 8 is  -17 .

Accepted Answer

A)   x -8=-17 
B)   x +8=-17 
C)   x +8=-17 . 
D)   8x=-17

Question 15

Write the number in scientific notation.
- 0.000099611

Accepted Answer

A)   9.9611 x 10-4 
B)   9.9611 x 10-5 
C)   9.9611 x 105 
D)   9.9611 x 104

Question 16

Simplify and write with positive exponents only.
-$- 5 z ^ { - 3 }$

Accepted Answer

A)  $\frac { - 125 } { z ^ { 3 } }$ 
B)  - $\frac { 1 } { 125 z ^ { 3 } }$ 
C)   -$\frac { 5 } { z ^ { 3 } }$ 
D)   $\frac { 1 } { 125 z ^ { 3 } }$

Question 17

List the elements in the set.
-$\{ x \mid x$ is a natural number less than 28 }

Accepted Answer

A)   { ..., 26,27,28} 
B)   {1,2,3, ... , 26,27,28} 
C)   {0,1,2, ... , 25,26,27} 
D)   {1,2,3, ... , 25,26,27}

Question 18

Simplify the expression.
-$7 ^ { 3 } - ( - 3 ) ^ { 2 }$

Accepted Answer

A)  27 
B)  12 
C)  334 
D)  352

Question 19

Simplify.
-(7z + 8) - (5z - 3)

Accepted Answer

A)  12z + 11 
B)  2z - 11 
C)  2z + 5 
D)  2z + 11

Question 20

Evaluate the expression for the given values.
-$\frac { - 1 + 2 | y - x | } { x + 5 y }$  when  x=8  and  y=-3

Accepted Answer

A)  3 
B)  $\frac { 23 } { 7 }$ 
C)   -3 
D)  $\frac { 21 } { 23 }$

Exam 1: Real Numbers and Algebraic Expressions

Perform the indicated operation. Write the answer in scientific notation. - $\frac { 9.14 \times 10 ^ { 6 } } { 2 \times 10 ^ { 3 } }$

Determine if the statement is true or false. - 18<-2

Evaluate the expression. - $( - 4 ) ^ { 0 }$

Write the phrase as a variable expression. Use x to represent "a number." -The sum of a number and 97

Place $\in$ Or $\notin$ in the space provided to make the statement true. - $\frac { 7 } { 4 } ـــــــــــ \{ x \mid x$ is a rational number}

Use the product rule to simplify the expression. - $\left( - 3 x ^ { 6 } y \right) \left( - 9 x ^ { 3 } y ^ { 2 } \right)$

Find the value of the expression. -PPP

Simplify the expression. - $\frac { - 6 \left( 5 ^ { 3 } - 6 \right) + 7 } { 4 - 8 }$

Simplify. -6(4x - 4) - 5(x - 1)

Add or subtract as indicated. -Subtract -10 from 1 .

Place $\in$ Or $\notin$ in the space provided to make the statement true. -25 _{x $Place \in Or \notin in the space provided to make the statement true. -25 _{x x is an integer } A) \notin B) \in$ x is an integer }

Which of these is NOT an end-of-chapter component designed to help you understand the concepts of the chapter?

Evaluate the expression for the given values. - $\frac { \sqrt { x } } { 2 y } - \frac { y } { x }$ when x=4 and y=-1

Write the sentence as an equation. -The sum of x and 8 is -17 .

Write the number in scientific notation. - 0.000099611

Simplify and write with positive exponents only. - $- 5 z ^ { - 3 }$

List the elements in the set. - $\{ x \mid x$ is a natural number less than 28 }

Simplify the expression. - $7 ^ { 3 } - ( - 3 ) ^ { 2 }$

Simplify. -(7z + 8) - (5z - 3)

Evaluate the expression for the given values. - $\frac { - 1 + 2 | y - x | } { x + 5 y }$ when x=8 and y=-3

Exam 1: Real Numbers and Algebraic Expressions

Perform the indicated operation. Write the answer in scientific notation. - 9.14×1062×103\frac { 9.14 \times 10 ^ { 6 } } { 2 \times 10 ^ { 3 } }2×1039.14×106​

Determine if the statement is true or false. - 18<-2

Evaluate the expression. - (−4) 0( - 4 ) ^ { 0 }(−4) 0

Write the phrase as a variable expression. Use x to represent "a number." -The sum of a number and 97

Place ∈\in∈ Or ∉\notin∈/ in the space provided to make the statement true. - 74ـــــــــــ{x∣x\frac { 7 } { 4 } ـــــــــــ \{ x \mid x47​ـــــــــــ{x∣x is a rational number}

Use the product rule to simplify the expression. - (−3x6y) (−9x3y2) \left( - 3 x ^ { 6 } y \right) \left( - 9 x ^ { 3 } y ^ { 2 } \right) (−3x6y) (−9x3y2)

Find the value of the expression. -PPP

Simplify the expression. - −6(53−6) +74−8\frac { - 6 \left( 5 ^ { 3 } - 6 \right) + 7 } { 4 - 8 }4−8−6(53−6) +7​

Simplify. -6(4x - 4) - 5(x - 1)

Add or subtract as indicated. -Subtract -10 from 1 .

Place ∈\in∈ Or ∉\notin∈/ in the space provided to make the statement true. -25 _____{xx is an integer }

Which of these is NOT an end-of-chapter component designed to help you understand the concepts of the chapter?

Evaluate the expression for the given values. - x2y−yx\frac { \sqrt { x } } { 2 y } - \frac { y } { x }2yx​​−xy​ when x=4 and y=-1

Write the sentence as an equation. -The sum of x and 8 is -17 .

Write the number in scientific notation. - 0.000099611

Simplify and write with positive exponents only. - −5z−3- 5 z ^ { - 3 }−5z−3

List the elements in the set. - {x∣x\{ x \mid x{x∣x is a natural number less than 28 }

Simplify the expression. - 73−(−3) 27 ^ { 3 } - ( - 3 ) ^ { 2 }73−(−3) 2

Simplify. -(7z + 8) - (5z - 3)

Evaluate the expression for the given values. - −1+2∣y−x∣x+5y\frac { - 1 + 2 | y - x | } { x + 5 y }x+5y−1+2∣y−x∣​ when x=8 and y=-3

Perform the indicated operation. Write the answer in scientific notation. - $\frac { 9.14 \times 10 ^ { 6 } } { 2 \times 10 ^ { 3 } }$

Evaluate the expression. - $( - 4 ) ^ { 0 }$

Place $\in$ Or $\notin$ in the space provided to make the statement true. - $\frac { 7 } { 4 } ـــــــــــ \{ x \mid x$ is a rational number}

Use the product rule to simplify the expression. - $\left( - 3 x ^ { 6 } y \right) \left( - 9 x ^ { 3 } y ^ { 2 } \right)$

Simplify the expression. - $\frac { - 6 \left( 5 ^ { 3 } - 6 \right) + 7 } { 4 - 8 }$

Place $\in$ Or $\notin$ in the space provided to make the statement true. -25 _{x $Place \in Or \notin in the space provided to make the statement true. -25 _{x x is an integer } A) \notin B) \in$ x is an integer }

Evaluate the expression for the given values. - $\frac { \sqrt { x } } { 2 y } - \frac { y } { x }$ when x=4 and y=-1

Simplify and write with positive exponents only. - $- 5 z ^ { - 3 }$

List the elements in the set. - $\{ x \mid x$ is a natural number less than 28 }

Simplify the expression. - $7 ^ { 3 } - ( - 3 ) ^ { 2 }$

Evaluate the expression for the given values. - $\frac { - 1 + 2 | y - x | } { x + 5 y }$ when x=8 and y=-3