Question 1

Multiply or divide as indicated.
-- $- \frac { 4 } { 9 } \cdot \left( \frac { 1 } { 7 } \right)$

Accepted Answer

A)  $- \frac { 63 } { 4 }$ 
B)  $\frac { 4 } { 63 }$ 
C)  $- \frac { 4 } { 63 }$ 
D)  $\frac { 63 } { 4 }$ 
A)  $- \frac { 63 } { 4 }$ 
B)  $\frac { 4 } { 63 }$ 
C)  $- \frac { 4 } { 63 }$ 
D)  $\frac { 63 } { 4 }$

Question 2

Multiply or divide as indicated.
- -3(-1)(7)

Accepted Answer

A)   -21 
B)   -28 
C)  28 
D)  21 
A)   -21 
B)   -28 
C)  28 
D)  21

Question 3

Add or subtract as indicated.
- 10-(-4)

Accepted Answer

A)  14 
B)  6 
C)   -6 
D)   -14 
A)  14 
B)  6 
C)   -6 
D)   -14

Question 4

Simplify the expression.
-$0 \div 5 + 2 \cdot 8$

Accepted Answer

A)  21 
B)  16 
C)  56 
D)  undefined 
A)  21 
B)  16 
C)  56 
D)  undefined

Question 5

Add or subtract as indicated.
-$\frac { 1 } { 3 } - \frac { 1 } { 8 }$

Accepted Answer

A)  $\frac { 5 } { 24 }$ 
B)   $- \frac { 1 } { 5 }$ 
C)  $\frac { 1 } { 24 }$ 
D)  $- \frac { 5 } { 24 }$ 
A)  $\frac { 5 } { 24 }$ 
B)   $- \frac { 1 } { 5 }$ 
C)  $\frac { 1 } { 24 }$ 
D)  $- \frac { 5 } { 24 }$

Question 6

Simplify. Write the answer using positive exponents only.
-$\left( x ^ { 6 } \right) ^ { 5 }$

Accepted Answer

A)  $5 x ^ { 30 }$ 
B)  $5 x ^ { 6 }$ 
C)  $x ^ { 30 }$ 
D)  $x ^ { 11 }$ 
A)  $5 x ^ { 30 }$ 
B)  $5 x ^ { 6 }$ 
C)  $x ^ { 30 }$ 
D)  $x ^ { 11 }$

Question 7

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$\frac { x ^ { 6 a } \left( x ^ { 6 a } \right) ^ { 7 } } { x }$

Accepted Answer

A)  $x ^ { 48 a - 1 }$ 
B)  $x ^ { 51 a - 1 }$ 
C)  $\frac { 1 } { 48 a - 1 }$ 
D)  $x ^ { 36 a + 1 }$ 
A)  $x ^ { 48 a - 1 }$ 
B)  $x ^ { 51 a - 1 }$ 
C)  $\frac { 1 } { 48 a - 1 }$ 
D)  $x ^ { 36 a + 1 }$

Question 8

Write the number in standard notation.
- 9.334 x 10-6

Accepted Answer

A)   0.000009334 
B)   0.0000009334 
C)   0.00009334 
D)   -9,334,000 
A)   0.000009334 
B)   0.0000009334 
C)   0.00009334 
D)   -9,334,000

Question 9

Simplify. Write the answer using positive exponents only.
-$\left( \frac { \mathrm { a } } { 7 } \right) ^ { 3 }$

Accepted Answer

A)  $\frac { a ^ { 4 } } { 2401 }$ 
B)  $\frac { a ^ { 3 } } { 343 }$ 
C)  $\frac { a } { 7 }$ 
D)  $\frac { a ^ { 3 } } { 7 }$ 
A)  $\frac { a ^ { 4 } } { 2401 }$ 
B)  $\frac { a ^ { 3 } } { 343 }$ 
C)  $\frac { a } { 7 }$ 
D)  $\frac { a ^ { 3 } } { 7 }$

Question 10

Find the root.
-$\sqrt [ 3 ] { 512 }$

Accepted Answer

A)  8 
B)  9 
C)  64 
D)  23 
A)  8 
B)  9 
C)  64 
D)  23

Question 11

Find the opposite (or additive inverse) of the number.
-14

Accepted Answer

A)   $\frac { 1 } { 14 }$ 
B)  0 
C)  14 
D)   -14 
A)   $\frac { 1 } { 14 }$ 
B)  0 
C)  14 
D)   -14

Question 12

Perform the indicated operation. Write the answer in scientific notation.
-$\frac { 10 \times 10 ^ { - 7 } } { 2 \times 10 ^ { 4 } }$

Accepted Answer

A)   5 x 10-11 
B)   10 x 10-11 
C)   5 x 10-3 
D)   10 x 10-3 
A)   5 x 10-11 
B)   10 x 10-11 
C)   5 x 10-3 
D)   10 x 10-3

Question 13

Simplify and write with positive exponents only.
-$3 ^ { 3 } \cdot 3 ^ { - 4 }$

Accepted Answer

A)  2187 
B)   -3 
C) $\frac { 1 } { 3 }$ 
D)   -$\frac { 1 } { 3 }$ 
A)  2187 
B)   -3 
C) $\frac { 1 } { 3 }$ 
D)   -$\frac { 1 } { 3 }$

Question 14

Perform the indicated operation. Write the answer in scientific notation.
-(2.2 x 101)3

Accepted Answer

A)   6.60 x 104 
B)   6.60 x 103 
C)   1.06 x 104 
D)   1.06 x 105  
A)   6.60 x 104 
B)   6.60 x 103 
C)   1.06 x 104 
D)   1.06 x 105

Question 15

Evaluate the expression for the given values.
-$- 4 y ^ { 2 }$ when y=-3

Accepted Answer

A)   -12 
B)   -36 
C)  36 
D)  12 
A)   -12 
B)   -36 
C)  36 
D)  12

Question 16

List the elements in the set.
-$\{ x \mid x$ is an even natural number}

Accepted Answer

A)   {0,2,4,6,8, ...} 
B)   {2,4,6,8} 
C)   {2,4,6,8, ....} 
D)   {...-8,-6,-4,-2,2,4,6,8, ...} 
A)   {0,2,4,6,8, ...} 
B)   {2,4,6,8} 
C)   {2,4,6,8, ....} 
D)   {...-8,-6,-4,-2,2,4,6,8, ...}

Question 17

Evaluate the expression.
-$7 ^ { 0 } + 7 x ^ { 0 }$

Accepted Answer

A)  8 
B)  2 
C)  14 
D)  7 
A)  8 
B)  2 
C)  14 
D)  7

Question 18

Write the number in scientific notation.
- 0.000000080005

Accepted Answer

A)   8.0005 x 10-7 
B)   8.0005 x 108 
C)   8.0005 x 10-9 
D)   8.0005 x 10-8 
A)   8.0005 x 10-7 
B)   8.0005 x 108 
C)   8.0005 x 10-9 
D)   8.0005 x 10-8

Question 19

Use the quotient rule to simplify.
-$\frac { \mathrm { d } ^ { 3 } } { \mathrm {~d} }$

Accepted Answer

A)   d4 
B)   d2 
C)   d3-d 
D)  3 
A)   d4 
B)   d2 
C)   d3-d 
D)  3

Question 20

Evaluate the expression.
-$- 3 ^ { 0 }$

Accepted Answer

A)   -1 
B)  3 
C)  0 
D)  1 
A)   -1 
B)  3 
C)  0 
D)  1

Multiply or divide as indicated. -- $- \frac { 4 } { 9 } \cdot \left( \frac { 1 } { 7 } \right)$

Multiply or divide as indicated. - -3(-1)(7)

Add or subtract as indicated. - 10-(-4)

Simplify the expression. - $0 \div 5 + 2 \cdot 8$

Add or subtract as indicated. - $\frac { 1 } { 3 } - \frac { 1 } { 8 }$

Simplify. Write the answer using positive exponents only. - $\left( x ^ { 6 } \right) ^ { 5 }$

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $\frac { x ^ { 6 a } \left( x ^ { 6 a } \right) ^ { 7 } } { x }$

Write the number in standard notation. - 9.334 x 10^-6

Simplify. Write the answer using positive exponents only. - $\left( \frac { \mathrm { a } } { 7 } \right) ^ { 3 }$

Find the root. - $\sqrt [ 3 ] { 512 }$

Find the opposite (or additive inverse) of the number. -14

Perform the indicated operation. Write the answer in scientific notation. - $\frac { 10 \times 10 ^ { - 7 } } { 2 \times 10 ^ { 4 } }$

Simplify and write with positive exponents only. - $3 ^ { 3 } \cdot 3 ^ { - 4 }$

Perform the indicated operation. Write the answer in scientific notation. -(2.2 x 10¹)³

Evaluate the expression for the given values. - $- 4 y ^ { 2 }$ when y=-3

List the elements in the set. - $\{ x \mid x$ is an even natural number}

Evaluate the expression. - $7 ^ { 0 } + 7 x ^ { 0 }$

Write the number in scientific notation. - 0.000000080005

Use the quotient rule to simplify. - $\frac { \mathrm { d } ^ { 3 } } { \mathrm {~d} }$

Evaluate the expression. - $- 3 ^ { 0 }$

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. -- −49⋅(17)- \frac { 4 } { 9 } \cdot \left( \frac { 1 } { 7 } \right)−94​⋅(71​)

Multiply or divide as indicated. - -3(-1)(7)

Add or subtract as indicated. - 10-(-4)

Simplify the expression. - 0÷5+2⋅80 \div 5 + 2 \cdot 80÷5+2⋅8

Add or subtract as indicated. - 13−18\frac { 1 } { 3 } - \frac { 1 } { 8 }31​−81​

Simplify. Write the answer using positive exponents only. - (x6)5\left( x ^ { 6 } \right) ^ { 5 }(x6)5

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - x6a(x6a)7x\frac { x ^ { 6 a } \left( x ^ { 6 a } \right) ^ { 7 } } { x }xx6a(x6a)7​

Write the number in standard notation. - 9.334 x 10-6

Simplify. Write the answer using positive exponents only. - (a7)3\left( \frac { \mathrm { a } } { 7 } \right) ^ { 3 }(7a​)3

Find the root. - 5123\sqrt [ 3 ] { 512 }3512​