Question 1

Find the value of the numerical expression. $\left( - \frac { 1 } { 6 } \right) ^ { 2 }$

Accepted Answer

The answer of Find the value of the numerical expression....

Question 2

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 4 } { 5 } \right) \div \left( \frac { 3 } { 5 } \right) \left( - \frac { 9 } { 4 } \right)$

Accepted Answer

The answer of Perform the operations as indicated, and express...

Question 3

Translate the word phrase into an algebraic expression. six minus the square of y

Accepted Answer

The answer of Translate the word phrase into an algebraic...

Question 4

Subtract the fractions below, and express the answer in lowest terms. $\frac { 2 } { x } - \frac { 9 } { b }$

Accepted Answer

The answer of Subtract the fractions below, and express the...

Question 5

Find the value of the numerical expression below. $( - 5 ) ^ { 2 }$

Accepted Answer

The answer of Find the value of the numerical expression...

Question 6

Simplify the numerical expression below. $5 ^ { 3 } + 4 ^ { 2 } - 3 ^ { 4 }$

Accepted Answer

The answer of Simplify the numerical expression below. \(5 ^...

Question 7

Subtract as indicated, and express your answer in lowest terms. $- 4 - \frac { 2 } { 5 }$

Accepted Answer

A)  $\frac { 22 } { 5 }$ 
B)  $\frac { 5 } { 22 }$ 
C)  $- \frac { 1 } { 22 }$ 
D)  $- \frac { 22 } { 5 }$ 
E)  $- \frac { 5 } { 22 }$ 
A)  $\frac { 22 } { 5 }$ 
B)  $\frac { 5 } { 22 }$ 
C)  $- \frac { 1 } { 22 }$ 
D)  $- \frac { 22 } { 5 }$ 
E)  $- \frac { 5 } { 22 }$

Question 8

Simplify the numerical expression below, stating the answer in its reduced form. $\frac { 1 } { 5 } + \frac { 7 } { 4 } \cdot \frac { 4 } { 49 } - \frac { 1 } { 35 } \cdot \frac { 5 } { 5 }$

Accepted Answer

The answer of Simplify the numerical expression below, stating the...

Question 9

Multiply as indicated, and express your answer in reduced form. $\frac { 2 } { 3 } \cdot \frac { - 18 } { 15 }$

Accepted Answer

The answer of Multiply as indicated, and express your answer...

Question 10

Subtract the fractions below, and express the answer in its lowest terms. $\frac { 10 } { z } - \frac { 2 } { b }$

Accepted Answer

A)  $\frac { 10 b + 2 z } { z b }$ 
B)  $\frac { 10 b - 2 z } { z b }$ 
C)  $\frac { 10 b - 2 z } { b }$ 
D)  none of these 
A)  $\frac { 10 b + 2 z } { z b }$ 
B)  $\frac { 10 b - 2 z } { z b }$ 
C)  $\frac { 10 b - 2 z } { b }$ 
D)  none of these

Question 11

Reduce the fraction to lowest terms. $\frac { - 54 y z } { - 45 x y }$

Accepted Answer

The answer of Reduce the fraction to lowest terms. \(\frac...

Question 12

Simplify the numerical expression and express your answer in reduced form. $\frac { 1 } { 5 } + \frac { 3 } { 9 } \cdot \frac { 9 } { 21 } - \frac { 1 } { 14 } \cdot \frac { 2 } { 5 }$

Accepted Answer

A)  $\frac { 4 } { 5 }$ 
B)  $\frac { 7 } { 35 }$ 
C)  $\frac { 11 } { 35 }$ 
D)  $\frac { 6 } { 7 }$ 
E)  none of these 
A)  $\frac { 4 } { 5 }$ 
B)  $\frac { 7 } { 35 }$ 
C)  $\frac { 11 } { 35 }$ 
D)  $\frac { 6 } { 7 }$ 
E)  none of these

Question 13

Simplify the numerical expression. 0.68(0.5 + 0.5)

Accepted Answer

The answer of Simplify the numerical expression. 0.68(0.5 + 0.5)...

Question 14

If it takes $5 \frac { 1 } { 4 }$ yards of material to make drapes for one window, how much material is needed for 5 windows? Express your answer as a mixed fraction.

Accepted Answer

The answer of If it takes \(5 \frac { 1...

Question 15

Simplify the expression below by combining similar terms. $6 x ^ { 6 } - 11 x ^ { 6 } + 3 x ^ { 6 }$

Accepted Answer

A)  $- 2 \cdot x ^ { 6 }$ 
B)  $- 8 \cdot x ^ { 6 }$ 
C)  $4 \cdot x$ 
D)  $- 2 \cdot x ^ { 18 }$ 
A)  $- 2 \cdot x ^ { 6 }$ 
B)  $- 8 \cdot x ^ { 6 }$ 
C)  $4 \cdot x$ 
D)  $- 2 \cdot x ^ { 18 }$

Question 16

A repeating decimal has a block of digits that repeats indefinitely.

Accepted Answer

A) True 
 B)False

Question 17

Reduce the fraction below to its simplest form. $\frac { 4 q n } { 2 n }$

Accepted Answer

A)  $8 q$ 
B)  $2 q$ 
C)  $2 q n ^ { 2 }$ 
D)  $8 n q ^ { 2 }$ 
A)  $8 q$ 
B)  $2 q$ 
C)  $2 q n ^ { 2 }$ 
D)  $8 n q ^ { 2 }$

Question 18

Translate the word phrase into an algebraic expression. six larger than the product of x and y

Accepted Answer

The answer of Translate the word phrase into an algebraic...

Question 19

Reduce the fraction to lowest terms. $\frac { - 36 y z } { - 32 x y }$

Accepted Answer

A)  $- \frac { 8 x } { 9 z }$ 
B)  $\frac { 8 z } { x }$ 
C)  $\frac { 9 y } { 8 x }$ 
D)  $- \frac { 9 z } { 8 y }$ 
E)  $\frac { 9 z } { 8 x }$ 
A)  $- \frac { 8 x } { 9 z }$ 
B)  $\frac { 8 z } { x }$ 
C)  $\frac { 9 y } { 8 x }$ 
D)  $- \frac { 9 z } { 8 y }$ 
E)  $\frac { 9 z } { 8 x }$

Question 20

Find the value of the numerical expression below. $( 0.2 ) ^ { 5 }$

Accepted Answer

A)  -0.01268 
B)  0.10032 
C)  0.19032 
D)  0.00032 
A)  -0.01268 
B)  0.10032 
C)  0.19032 
D)  0.00032

Find the value of the numerical expression. $\left( - \frac { 1 } { 6 } \right) ^ { 2 }$

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 4 } { 5 } \right) \div \left( \frac { 3 } { 5 } \right) \left( - \frac { 9 } { 4 } \right)$

Translate the word phrase into an algebraic expression. six minus the square of y

Subtract the fractions below, and express the answer in lowest terms. $\frac { 2 } { x } - \frac { 9 } { b }$

Find the value of the numerical expression below. $( - 5 ) ^ { 2 }$

Simplify the numerical expression below. $5 ^ { 3 } + 4 ^ { 2 } - 3 ^ { 4 }$

Subtract as indicated, and express your answer in lowest terms. $- 4 - \frac { 2 } { 5 }$

Simplify the numerical expression below, stating the answer in its reduced form. $\frac { 1 } { 5 } + \frac { 7 } { 4 } \cdot \frac { 4 } { 49 } - \frac { 1 } { 35 } \cdot \frac { 5 } { 5 }$

Multiply as indicated, and express your answer in reduced form. $\frac { 2 } { 3 } \cdot \frac { - 18 } { 15 }$

Subtract the fractions below, and express the answer in its lowest terms. $\frac { 10 } { z } - \frac { 2 } { b }$

Reduce the fraction to lowest terms. $\frac { - 54 y z } { - 45 x y }$

Simplify the numerical expression and express your answer in reduced form. $\frac { 1 } { 5 } + \frac { 3 } { 9 } \cdot \frac { 9 } { 21 } - \frac { 1 } { 14 } \cdot \frac { 2 } { 5 }$

Simplify the numerical expression. 0.68(0.5 + 0.5)

If it takes $5 \frac { 1 } { 4 }$ yards of material to make drapes for one window, how much material is needed for 5 windows? Express your answer as a mixed fraction.

Simplify the expression below by combining similar terms. $6 x ^ { 6 } - 11 x ^ { 6 } + 3 x ^ { 6 }$

A repeating decimal has a block of digits that repeats indefinitely.

Reduce the fraction below to its simplest form. $\frac { 4 q n } { 2 n }$

Translate the word phrase into an algebraic expression. six larger than the product of x and y

Reduce the fraction to lowest terms. $\frac { - 36 y z } { - 32 x y }$

Find the value of the numerical expression below. $( 0.2 ) ^ { 5 }$

Some Basic Concepts of Arithmetic and Algebra

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 2: The Real Numbers

Find the value of the numerical expression. (−16)2\left( - \frac { 1 } { 6 } \right) ^ { 2 }(−61​)2

Perform the operations as indicated, and express your answer in lowest terms. (−45)÷(35)(−94)\left( - \frac { 4 } { 5 } \right) \div \left( \frac { 3 } { 5 } \right) \left( - \frac { 9 } { 4 } \right)(−54​)÷(53​)(−49​)

Translate the word phrase into an algebraic expression. six minus the square of y

Subtract the fractions below, and express the answer in lowest terms. 2x−9b\frac { 2 } { x } - \frac { 9 } { b }x2​−b9​

Find the value of the numerical expression below. (−5)2( - 5 ) ^ { 2 }(−5)2

Simplify the numerical expression below. 53+42−345 ^ { 3 } + 4 ^ { 2 } - 3 ^ { 4 }53+42−34

Subtract as indicated, and express your answer in lowest terms. −4−25- 4 - \frac { 2 } { 5 }−4−52​

Simplify the numerical expression below, stating the answer in its reduced form. 15+74⋅449−135⋅55\frac { 1 } { 5 } + \frac { 7 } { 4 } \cdot \frac { 4 } { 49 } - \frac { 1 } { 35 } \cdot \frac { 5 } { 5 }51​+47​⋅494​−351​⋅55​

Multiply as indicated, and express your answer in reduced form. 23⋅−1815\frac { 2 } { 3 } \cdot \frac { - 18 } { 15 }32​⋅15−18​

Subtract the fractions below, and express the answer in its lowest terms. 10z−2b\frac { 10 } { z } - \frac { 2 } { b }z10​−b2​

Reduce the fraction to lowest terms. −54yz−45xy\frac { - 54 y z } { - 45 x y }−45xy−54yz​

Simplify the numerical expression and express your answer in reduced form. 15+39⋅921−114⋅25\frac { 1 } { 5 } + \frac { 3 } { 9 } \cdot \frac { 9 } { 21 } - \frac { 1 } { 14 } \cdot \frac { 2 } { 5 }51​+93​⋅219​−141​⋅52​

Simplify the numerical expression. 0.68(0.5 + 0.5)

If it takes 5145 \frac { 1 } { 4 }541​ yards of material to make drapes for one window, how much material is needed for 5 windows? Express your answer as a mixed fraction.

Simplify the expression below by combining similar terms. 6x6−11x6+3x66 x ^ { 6 } - 11 x ^ { 6 } + 3 x ^ { 6 }6x6−11x6+3x6

A repeating decimal has a block of digits that repeats indefinitely.

Reduce the fraction below to its simplest form. 4qn2n\frac { 4 q n } { 2 n }2n4qn​

Translate the word phrase into an algebraic expression. six larger than the product of x and y

Reduce the fraction to lowest terms. −36yz−32xy\frac { - 36 y z } { - 32 x y }−32xy−36yz​

Find the value of the numerical expression below. (0.2)5( 0.2 ) ^ { 5 }(0.2)5

Some Basic Concepts of Arithmetic and Algebra

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Find the value of the numerical expression. $\left( - \frac { 1 } { 6 } \right) ^ { 2 }$

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 4 } { 5 } \right) \div \left( \frac { 3 } { 5 } \right) \left( - \frac { 9 } { 4 } \right)$

Subtract the fractions below, and express the answer in lowest terms. $\frac { 2 } { x } - \frac { 9 } { b }$

Find the value of the numerical expression below. $( - 5 ) ^ { 2 }$

Simplify the numerical expression below. $5 ^ { 3 } + 4 ^ { 2 } - 3 ^ { 4 }$

Subtract as indicated, and express your answer in lowest terms. $- 4 - \frac { 2 } { 5 }$

Simplify the numerical expression below, stating the answer in its reduced form. $\frac { 1 } { 5 } + \frac { 7 } { 4 } \cdot \frac { 4 } { 49 } - \frac { 1 } { 35 } \cdot \frac { 5 } { 5 }$

Multiply as indicated, and express your answer in reduced form. $\frac { 2 } { 3 } \cdot \frac { - 18 } { 15 }$

Subtract the fractions below, and express the answer in its lowest terms. $\frac { 10 } { z } - \frac { 2 } { b }$

Reduce the fraction to lowest terms. $\frac { - 54 y z } { - 45 x y }$

Simplify the numerical expression and express your answer in reduced form. $\frac { 1 } { 5 } + \frac { 3 } { 9 } \cdot \frac { 9 } { 21 } - \frac { 1 } { 14 } \cdot \frac { 2 } { 5 }$

If it takes $5 \frac { 1 } { 4 }$ yards of material to make drapes for one window, how much material is needed for 5 windows? Express your answer as a mixed fraction.

Simplify the expression below by combining similar terms. $6 x ^ { 6 } - 11 x ^ { 6 } + 3 x ^ { 6 }$

Reduce the fraction below to its simplest form. $\frac { 4 q n } { 2 n }$

Reduce the fraction to lowest terms. $\frac { - 36 y z } { - 32 x y }$

Find the value of the numerical expression below. $( 0.2 ) ^ { 5 }$