Question 1

Multiply or divide as indicated.
- (-0.7)(-0.9)

Accepted Answer

A)   0.63 
B)   0.063 
C)   -0.63 
D)   6.3 
A)   0.63 
B)   0.063 
C)   -0.63 
D)   6.3

Question 2

Add or subtract as indicated.
- 14+(-16)-20

Accepted Answer

A)  10 
B)  18 
C)   -22 
D)  50 
A)  10 
B)  18 
C)   -22 
D)  50

Question 3

Simplify. Write the answer using positive exponents only.
-$\left( \frac { 4 p ^ { 4 } v ^ { 3 } } { s ^ { 2 } } \right) ^ { 4 }$

Accepted Answer

A)  $\frac { 4 p ^ { 16 } v ^ { 12 } } { s ^ { 8 } }$ 
B)  $\frac { 4 p ^ { 16 } { } _ { \mathrm { V } } ^ { 12 } } { s ^ { 6 } }$ 
C)  $\frac { 256 p ^ { 8 } v ^ { 7 } } { s ^ { 6 } }$ 
D)  $\frac { 256 p ^ { 16 } \mathrm {~V} ^ { 12 } } { s ^ { 8 } }$ 
A)  $\frac { 4 p ^ { 16 } v ^ { 12 } } { s ^ { 8 } }$ 
B)  $\frac { 4 p ^ { 16 } { } _ { \mathrm { V } } ^ { 12 } } { s ^ { 6 } }$ 
C)  $\frac { 256 p ^ { 8 } v ^ { 7 } } { s ^ { 6 } }$ 
D)  $\frac { 256 p ^ { 16 } \mathrm {~V} ^ { 12 } } { s ^ { 8 } }$

Question 4

Multiply or divide as indicated.
-$\frac { 28 } { - 4 }$

Accepted Answer

A)   -6 
B)  7 
C)  6 
D)   -7 
A)   -6 
B)  7 
C)  6 
D)   -7

Question 5

Add or subtract as indicated.
-$\frac { 7 } { 8 } - \left( - \frac { 3 } { 5 } \right)$

Accepted Answer

A)  $\frac { 11 } { 40 }$ 
B)  $\frac { 59 } { 40 }$ 
C)  $- \frac { 1 } { 4 }$ 
D)  $- \frac { 59 } { 40 }$ 
A)  $\frac { 11 } { 40 }$ 
B)  $\frac { 59 } { 40 }$ 
C)  $- \frac { 1 } { 4 }$ 
D)  $- \frac { 59 } { 40 }$

Question 6

Write the reciprocal (or multiplicative inverse) of the number if it exists.
-$\frac { 0 } { 3 }$

Accepted Answer

A)  Undefined 
B)  3 
C)  3/0 
D)  0 
A)  Undefined 
B)  3 
C)  3/0 
D)  0

Question 7

Write the number in scientific notation.
-In a certain city, the bus system carried a total of  11,300,000,000  passengers. Write this number in scientific notation.

Accepted Answer

A)   1.13 x 1010 
B)   11.3 x 1010 
C)   1.13 x 1011 
D)   1.13 x 109 
A)   1.13 x 1010 
B)   11.3 x 1010 
C)   1.13 x 1011 
D)   1.13 x 109

Question 8

Use the distributive property to multiply.
- 7(x+8)

Accepted Answer

A)   7x+8 
B)   56x 
C)   x+56 
D)   7x+56 
A)   7x+8 
B)   56x 
C)   x+56 
D)   7x+56

Question 9

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l } 
\text { distributive } & \text { absolute value } & \text { inequality } & \text { algebraic expression } \
\text { real } & \text { opposite } & \text { commutative } & \text { exponent } \
\text { recinrocals } & \text { associative } & \text { whole } & \text { variable }
\end{array}$$
-The _____ of a number  a is -a.

Accepted Answer

A)  exponent 
B)  variable 
C)  opposite 
D)  absolute value 
A)  exponent 
B)  variable 
C)  opposite 
D)  absolute value

Question 10

Simplify. Write the answer using positive exponents only.
-$( 2 a ) ^ { 6 }$

Accepted Answer

A)  $12 a ^ { 6 }$ 
B)  $64 a ^ { 6 }$ 
C)   64a 
D)   12a 
A)  $12 a ^ { 6 }$ 
B)  $64 a ^ { 6 }$ 
C)   64a 
D)   12a

Question 11

Complete the statement to illustrate the given property.
- 11+(-11)=_________ Additive inverse property

Accepted Answer

A)  121 
B)  22 
C)   -22 
D)  0 
A)  121 
B)  22 
C)   -22 
D)  0

Question 12

Simplify and write with positive exponents only.
-$\frac { \mathrm { m } ^ { 0 } } { \mathrm {~m} ^ { - 2 } }$

Accepted Answer

A)   1+m2 
B)   1-m2 
C)   m2 
D)   -m2 
A)   1+m2 
B)   1-m2 
C)   m2 
D)   -m2

Question 13

Use the product rule to simplify the expression.
-$( - 4 x ) \left( - 5 x ^ { 2 } \right) \left( x ^ { 4 } \right)$

Accepted Answer

A)  $9 x ^ { 6 }$ 
B)  $20 x ^ { 7 }$ 
C)  $10 x ^ { 7 }$ 
D)  $20 x ^ { 6 }$ 
A)  $9 x ^ { 6 }$ 
B)  $20 x ^ { 7 }$ 
C)  $10 x ^ { 7 }$ 
D)  $20 x ^ { 6 }$

Question 14

Use scientific notation to find the quotient. Express the quotient in scientific notation.
-$\frac { 150,000,000,000,000 } { 0.00000005 }$

Accepted Answer

A)   3 x 1021 
B)   10 x 1021 
C)   10 x 1020 
D)   3 x 1020 
A)   3 x 1021 
B)   10 x 1021 
C)   10 x 1020 
D)   3 x 1020

Question 15

Multiply or divide as indicated.
- 4(-6)(0)

Accepted Answer

A)   -28 
B)  0 
C)  24 
D)   -24 
A)   -28 
B)  0 
C)  24 
D)   -24

Question 16

Simplify. Write the answer using positive exponents only.
-$\left( 8 a ^ { - 3 } b ^ { 3 } \right) ^ { - 3 } \left( 2 a b ^ { - 3 } \right) ^ { 3 }$

Accepted Answer

A)  $\frac { 4 a ^ { 12 } } { b ^ { 18 } }$ 
B)  $\frac { a ^ { 6 } } { 64 b ^ { 18 } }$ 
C)  $\frac { a ^ { 12 } b ^ { 18 } } { 64 }$ 
D)  $\frac { a ^ { 12 } } { 64 b ^ { 18 } }$ 
A)  $\frac { 4 a ^ { 12 } } { b ^ { 18 } }$ 
B)  $\frac { a ^ { 6 } } { 64 b ^ { 18 } }$ 
C)  $\frac { a ^ { 12 } b ^ { 18 } } { 64 }$ 
D)  $\frac { a ^ { 12 } } { 64 b ^ { 18 } }$

Question 17

Insert $ \text {, or } =$ to in the space provided to form a true statement.
- 8.055____8.5

Accepted Answer

A) \(\overline{8}.0558.5 
A) \(\overline{8}.0558.5

Question 18

Which of these is the most important general tip for success in a mathematics course?

Accepted Answer

A)  Don't be afraid to ask questions 
B)  Organize your class materials 
C)  Do your homework 
D)  Check your work 
A)  Don't be afraid to ask questions 
B)  Organize your class materials 
C)  Do your homework 
D)  Check your work

Question 19

Simplify.
-$\left[ 2 | 7 - 8 | ^ { 7 } - ( - 2 ) \right] \div ( - 2 )$

Accepted Answer

A)  2 
B)  0 
C)   -4 
D)   -2 
A)  2 
B)  0 
C)   -4 
D)   -2

Question 20

Multiply or divide as indicated.
- -45 / 9

Accepted Answer

A)  5 
B)  4 
C)   -4 
D)   -5 
A)  5 
B)  4 
C)   -4 
D)   -5

Multiply or divide as indicated. - (-0.7)(-0.9)

Add or subtract as indicated. - 14+(-16)-20

Simplify. Write the answer using positive exponents only. - $\left( \frac { 4 p ^ { 4 } v ^ { 3 } } { s ^ { 2 } } \right) ^ { 4 }$

Multiply or divide as indicated. - $\frac { 28 } { - 4 }$

Add or subtract as indicated. - $\frac { 7 } { 8 } - \left( - \frac { 3 } { 5 } \right)$

Write the reciprocal (or multiplicative inverse) of the number if it exists. - $\frac { 0 } { 3 }$

Write the number in scientific notation. -In a certain city, the bus system carried a total of 11,300,000,000 passengers. Write this number in scientific notation.

Use the distributive property to multiply. - 7(x+8)

Fill in the blank with one of the words or phrases listed below. distributive absolute value inequality algebraic expression real opposite commutative exponent recinrocals associative whole variable -The _____ of a number a is -a.

Simplify. Write the answer using positive exponents only. - $( 2 a ) ^ { 6 }$

Complete the statement to illustrate the given property. - 11+(-11)=_________ Additive inverse property

Simplify and write with positive exponents only. - $\frac { \mathrm { m } ^ { 0 } } { \mathrm {~m} ^ { - 2 } }$

Use the product rule to simplify the expression. - $( - 4 x ) \left( - 5 x ^ { 2 } \right) \left( x ^ { 4 } \right)$

Use scientific notation to find the quotient. Express the quotient in scientific notation. - $\frac { 150,000,000,000,000 } { 0.00000005 }$

Multiply or divide as indicated. - 4(-6)(0)

Simplify. Write the answer using positive exponents only. - $\left( 8 a ^ { - 3 } b ^ { 3 } \right) ^ { - 3 } \left( 2 a b ^ { - 3 } \right) ^ { 3 }$

Insert $< , > \text {, or } =$ to in the space provided to form a true statement. - 8.055____8.5

Which of these is the most important general tip for success in a mathematics course?

Simplify. - $\left[ 2 | 7 - 8 | ^ { 7 } - ( - 2 ) \right] \div ( - 2 )$

Multiply or divide as indicated. - -45 / 9

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Fractions

Filters

Exam 1: Real Numbers and Algebraic Expressions

Multiply or divide as indicated. - (-0.7)(-0.9)

Add or subtract as indicated. - 14+(-16)-20

Simplify. Write the answer using positive exponents only. - (4p4v3s2)4\left( \frac { 4 p ^ { 4 } v ^ { 3 } } { s ^ { 2 } } \right) ^ { 4 }(s24p4v3​)4

Multiply or divide as indicated. - 28−4\frac { 28 } { - 4 }−428​

Add or subtract as indicated. - 78−(−35)\frac { 7 } { 8 } - \left( - \frac { 3 } { 5 } \right)87​−(−53​)

Write the reciprocal (or multiplicative inverse) of the number if it exists. - 03\frac { 0 } { 3 }30​

Write the number in scientific notation. -In a certain city, the bus system carried a total of 11,300,000,000 passengers. Write this number in scientific notation.

Use the distributive property to multiply. - 7(x+8)

Fill in the blank with one of the words or phrases listed below. distributive absolute value inequality algebraic expression real opposite commutative exponent recinrocals associative whole variable -The _____ of a number a is -a.

Simplify. Write the answer using positive exponents only. - (2a)6( 2 a ) ^ { 6 }(2a)6

Complete the statement to illustrate the given property. - 11+(-11)=_________ Additive inverse property

Simplify and write with positive exponents only. - m0 m−2\frac { \mathrm { m } ^ { 0 } } { \mathrm {~m} ^ { - 2 } } m−2m0​

Use the product rule to simplify the expression. - (−4x)(−5x2)(x4)( - 4 x ) \left( - 5 x ^ { 2 } \right) \left( x ^ { 4 } \right)(−4x)(−5x2)(x4)

Use scientific notation to find the quotient. Express the quotient in scientific notation. - 150,000,000,000,0000.00000005\frac { 150,000,000,000,000 } { 0.00000005 }0.00000005150,000,000,000,000​

Multiply or divide as indicated. - 4(-6)(0)

Simplify. Write the answer using positive exponents only. - (8a−3b3)−3(2ab−3)3\left( 8 a ^ { - 3 } b ^ { 3 } \right) ^ { - 3 } \left( 2 a b ^ { - 3 } \right) ^ { 3 }(8a−3b3)−3(2ab−3)3

Insert <,>, or =< , > \text {, or } =<,>, or = to in the space provided to form a true statement. - 8.055____8.5

Which of these is the most important general tip for success in a mathematics course?

Simplify. - [2∣7−8∣7−(−2)]÷(−2)\left[ 2 | 7 - 8 | ^ { 7 } - ( - 2 ) \right] \div ( - 2 )[2∣7−8∣7−(−2)]÷(−2)

Multiply or divide as indicated. - -45 / 9

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Fractions

Filters

Simplify. Write the answer using positive exponents only. - $\left( \frac { 4 p ^ { 4 } v ^ { 3 } } { s ^ { 2 } } \right) ^ { 4 }$

Multiply or divide as indicated. - $\frac { 28 } { - 4 }$

Add or subtract as indicated. - $\frac { 7 } { 8 } - \left( - \frac { 3 } { 5 } \right)$

Write the reciprocal (or multiplicative inverse) of the number if it exists. - $\frac { 0 } { 3 }$

Simplify. Write the answer using positive exponents only. - $( 2 a ) ^ { 6 }$

Simplify and write with positive exponents only. - $\frac { \mathrm { m } ^ { 0 } } { \mathrm {~m} ^ { - 2 } }$

Use the product rule to simplify the expression. - $( - 4 x ) \left( - 5 x ^ { 2 } \right) \left( x ^ { 4 } \right)$

Use scientific notation to find the quotient. Express the quotient in scientific notation. - $\frac { 150,000,000,000,000 } { 0.00000005 }$

Simplify. Write the answer using positive exponents only. - $\left( 8 a ^ { - 3 } b ^ { 3 } \right) ^ { - 3 } \left( 2 a b ^ { - 3 } \right) ^ { 3 }$

Insert $< , > \text {, or } =$ to in the space provided to form a true statement. - 8.055____8.5

Simplify. - $\left[ 2 | 7 - 8 | ^ { 7 } - ( - 2 ) \right] \div ( - 2 )$