Question 1

Simplify the numerical expression below. $7 ( - 4 ) ^ { 3 } - 3 ( - 6 ) ^ { 2 } + 11 ( - 6 ) + 4$

Accepted Answer

The answer of Simplify the numerical expression below. \(7 (...

Question 2

Reduce the fraction below to its lowest terms. $\frac { 55 a x } { 40 a }$

Accepted Answer

A)  $\frac { 11 x } { 8 }$ 
B)  $\frac { 11 x } { 16 }$ 
C)  $\frac { 11 } { 8 }$ 
D)  none of these 
A)  $\frac { 11 x } { 8 }$ 
B)  $\frac { 11 x } { 16 }$ 
C)  $\frac { 11 } { 8 }$ 
D)  none of these

Question 3

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 7 } { 8 } \right) \left( \frac { 4 } { 7 } \right) \div \left( - \frac { 7 } { 2 } \right)$

Accepted Answer

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

Question 4

Evaluate. $8.05 \div 3.5$

Accepted Answer

The answer of Evaluate. $8.05 \div 3.5$...

Question 5

Subtract as indicated, and express your answer in lowest terms. $\frac { 5 } { 8 } - \frac { 4 } { 5 }$

Accepted Answer

A)  $\frac { 7 } { 40 }$ 
B)  $\frac { 1 } { 5 }$ 
C)  $- \frac { 7 } { 40 }$ 
D)  $- \frac { 7 } { 41 }$ 
E)  $- \frac { 8 } { 41 }$ 
A)  $\frac { 7 } { 40 }$ 
B)  $\frac { 1 } { 5 }$ 
C)  $- \frac { 7 } { 40 }$ 
D)  $- \frac { 7 } { 41 }$ 
E)  $- \frac { 8 } { 41 }$

Question 6

Multiply as indicated, and express your answer in reduced form. $\left( - \frac { 4 } { 14 } \right) \left( - \frac { 14 } { 24 } \right)$

Accepted Answer

A)  $\frac { 1 } { 24 }$ 
B)  $- \frac { 5 } { 6 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 5 } { 6 }$ 
E)  $- \frac { 1 } { 6 }$ 
A)  $\frac { 1 } { 24 }$ 
B)  $- \frac { 5 } { 6 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 5 } { 6 }$ 
E)  $- \frac { 1 } { 6 }$

Question 7

Simplify the algebraic expression by combining similar terms. 0.2( x - 2) + 0.6( x + 6) - 0.7 x

Accepted Answer

A)  0.1 x + 3.2 
B)  0.1 x + 2.8 
C)  0.1 x + 3.5 
D)  0.1 x + 3.1 
E)  0.1 x + 3.4 
A)  0.1 x + 3.2 
B)  0.1 x + 2.8 
C)  0.1 x + 3.5 
D)  0.1 x + 3.1 
E)  0.1 x + 3.4

Question 8

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 1 } { 7 } + \frac { 6 } { 4 } \cdot \frac { 4 } { 30 } - \frac { 1 } { 20 } \cdot \frac { 4 } { 7 }$

Accepted Answer

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

Question 9

Use exponents to express the algebraic expression below in a more compact form. $\left( 6 p ^ { 2 } \right) \left( 11 p ^ { 3 } \right)$

Accepted Answer

The answer of Use exponents to express the algebraic expression...

Question 10

Divide as indicated, and express your answer in reduced form. $\frac { 9 } { x } \div \frac { 21 } { y }$

Accepted Answer

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

Question 11

Add the fractions below, and express the answer in lowest terms. $\frac { 10 } { 3 z } + \frac { 8 } { 5 a }$

Accepted Answer

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

Question 12

Add the fractions below, and express the answer in its lowest terms. $\frac { 2 } { 13 } + \frac { 5 } { 13 }$

Accepted Answer

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

Question 13

Perform the indicated operation, and express your answer in reduced form. $\frac { 4 } { 3 x ^ { 3 } } + \frac { 5 } { x }$

Accepted Answer

A)  $\frac { 4 + 15 x ^ { 2 } } { 3 x ^ { 3 } }$ 
B)  $\frac { 5 + 4 x ^ { 2 } } { 15 x ^ { 3 } }$ 
C)  $\frac { 4 + 5 x } { 3 x ^ { 3 } }$ 
D)  $\frac { 5 + 15 x ^ { 2 } } { 3 x ^ { 3 } }$ 
E)  $\frac { 3 + 15 x } { 4 x ^ { 3 } }$ 
A)  $\frac { 4 + 15 x ^ { 2 } } { 3 x ^ { 3 } }$ 
B)  $\frac { 5 + 4 x ^ { 2 } } { 15 x ^ { 3 } }$ 
C)  $\frac { 4 + 5 x } { 3 x ^ { 3 } }$ 
D)  $\frac { 5 + 15 x ^ { 2 } } { 3 x ^ { 3 } }$ 
E)  $\frac { 3 + 15 x } { 4 x ^ { 3 } }$

Question 14

Evaluate. (6.6) + (-5.2)

Accepted Answer

A)  1.4 
B)  1.2 
C)  1.3 
D)  1 
E)  1.1 
A)  1.4 
B)  1.2 
C)  1.3 
D)  1 
E)  1.1

Question 15

Add the fractions below, and express the answer in lowest terms. $\frac { 12 } { 26 y } + \frac { 10 } { 26 y }$

Accepted Answer

A)  $\frac { 5 } { 26 y }$ 
B)  $\frac { 6 } { 13 y }$ 
C)  $\frac { 11 } { 13 y }$ 
D)  $\frac { 6 } { 26 y }$ 
E)  none of these 
A)  $\frac { 5 } { 26 y }$ 
B)  $\frac { 6 } { 13 y }$ 
C)  $\frac { 11 } { 13 y }$ 
D)  $\frac { 6 } { 26 y }$ 
E)  none of these

Question 16

Only rational numbers with common denominators can be multiplied or divided.

Accepted Answer

A) True 
 B)False

Question 17

Translate the word phrase into an algebraic expression. The quantity, x minus y , divided by 4.

Accepted Answer

A)  $\frac { x - y } { 4 }$ 
B)  $\frac { y } { 4 } - x$ 
C)  $\frac { x - 4 } { y }$ 
D)  $\frac { x } { 4 } - y$ 
E)  none of these 
A)  $\frac { x - y } { 4 }$ 
B)  $\frac { y } { 4 } - x$ 
C)  $\frac { x - 4 } { y }$ 
D)  $\frac { x } { 4 } - y$ 
E)  none of these

Question 18

Subtract the fractions below,and express the answer in its lowest terms. $\frac { 6 } { 17 } - \frac { 4 } { 17 }$

Accepted Answer

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

Question 19

Reduce the fraction below to its simplest form. $\frac { 14 q ^ { 3 } n ^ { 9 } } { 21 n ^ { 2 } q ^ { 5 } }$

Accepted Answer

A)  $\frac { 2 n } { 3 q ^ { 2 } }$ 
B)  $\frac { 2 n ^ { 11 } } { 3 q ^ { 8 } }$ 
C)  $\frac { 3 n } { 2 q ^ { 2 } }$ 
D)  $\frac { 2 n ^ { 7 } } { 3 q ^ { 9 } }$ 
A)  $\frac { 2 n } { 3 q ^ { 2 } }$ 
B)  $\frac { 2 n ^ { 11 } } { 3 q ^ { 8 } }$ 
C)  $\frac { 3 n } { 2 q ^ { 2 } }$ 
D)  $\frac { 2 n ^ { 7 } } { 3 q ^ { 9 } }$

Question 20

Reduce the fraction below to its lowest terms. $\frac { 45 } { 20 }$

Accepted Answer

A)  $\frac { 9 } { 4 }$ 
B)  $\frac { 27 } { 4 }$ 
C)  $\frac { 9 } { 8 }$ 
D)  none of these 
A)  $\frac { 9 } { 4 }$ 
B)  $\frac { 27 } { 4 }$ 
C)  $\frac { 9 } { 8 }$ 
D)  none of these

Simplify the numerical expression below. $7 ( - 4 ) ^ { 3 } - 3 ( - 6 ) ^ { 2 } + 11 ( - 6 ) + 4$

Reduce the fraction below to its lowest terms. $\frac { 55 a x } { 40 a }$

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 7 } { 8 } \right) \left( \frac { 4 } { 7 } \right) \div \left( - \frac { 7 } { 2 } \right)$

Evaluate. $8.05 \div 3.5$

Subtract as indicated, and express your answer in lowest terms. $\frac { 5 } { 8 } - \frac { 4 } { 5 }$

Multiply as indicated, and express your answer in reduced form. $\left( - \frac { 4 } { 14 } \right) \left( - \frac { 14 } { 24 } \right)$

Simplify the algebraic expression by combining similar terms. 0.2( x - 2) + 0.6( x + 6) - 0.7 x

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 1 } { 7 } + \frac { 6 } { 4 } \cdot \frac { 4 } { 30 } - \frac { 1 } { 20 } \cdot \frac { 4 } { 7 }$

Use exponents to express the algebraic expression below in a more compact form. $\left( 6 p ^ { 2 } \right) \left( 11 p ^ { 3 } \right)$

Divide as indicated, and express your answer in reduced form. $\frac { 9 } { x } \div \frac { 21 } { y }$

Add the fractions below, and express the answer in lowest terms. $\frac { 10 } { 3 z } + \frac { 8 } { 5 a }$

Add the fractions below, and express the answer in its lowest terms. $\frac { 2 } { 13 } + \frac { 5 } { 13 }$

Perform the indicated operation, and express your answer in reduced form. $\frac { 4 } { 3 x ^ { 3 } } + \frac { 5 } { x }$

Evaluate. (6.6) + (-5.2)

Add the fractions below, and express the answer in lowest terms. $\frac { 12 } { 26 y } + \frac { 10 } { 26 y }$

Only rational numbers with common denominators can be multiplied or divided.

Translate the word phrase into an algebraic expression. The quantity, x minus y , divided by 4.

Subtract the fractions below,and express the answer in its lowest terms. $\frac { 6 } { 17 } - \frac { 4 } { 17 }$

Reduce the fraction below to its simplest form. $\frac { 14 q ^ { 3 } n ^ { 9 } } { 21 n ^ { 2 } q ^ { 5 } }$

Reduce the fraction below to its lowest terms. $\frac { 45 } { 20 }$

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

Simplify the numerical expression below. 7(−4)3−3(−6)2+11(−6)+47 ( - 4 ) ^ { 3 } - 3 ( - 6 ) ^ { 2 } + 11 ( - 6 ) + 47(−4)3−3(−6)2+11(−6)+4

Reduce the fraction below to its lowest terms. 55ax40a\frac { 55 a x } { 40 a }40a55ax​

Perform the operations as indicated, and express your answer in lowest terms. (−78)(47)÷(−72)\left( - \frac { 7 } { 8 } \right) \left( \frac { 4 } { 7 } \right) \div \left( - \frac { 7 } { 2 } \right)(−87​)(74​)÷(−27​)

Evaluate. 8.05÷3.58.05 \div 3.58.05÷3.5

Subtract as indicated, and express your answer in lowest terms. 58−45\frac { 5 } { 8 } - \frac { 4 } { 5 }85​−54​

Multiply as indicated, and express your answer in reduced form. (−414)(−1424)\left( - \frac { 4 } { 14 } \right) \left( - \frac { 14 } { 24 } \right)(−144​)(−2414​)

Simplify the algebraic expression by combining similar terms. 0.2( x - 2) + 0.6( x + 6) - 0.7 x

Simplify the numerical expression below, expressing the answer in its reduced form. 17+64⋅430−120⋅47\frac { 1 } { 7 } + \frac { 6 } { 4 } \cdot \frac { 4 } { 30 } - \frac { 1 } { 20 } \cdot \frac { 4 } { 7 }71​+46​⋅304​−201​⋅74​

Use exponents to express the algebraic expression below in a more compact form. (6p2)(11p3)\left( 6 p ^ { 2 } \right) \left( 11 p ^ { 3 } \right)(6p2)(11p3)

Divide as indicated, and express your answer in reduced form. 9x÷21y\frac { 9 } { x } \div \frac { 21 } { y }x9​÷y21​

Add the fractions below, and express the answer in lowest terms. 103z+85a\frac { 10 } { 3 z } + \frac { 8 } { 5 a }3z10​+5a8​

Add the fractions below, and express the answer in its lowest terms. 213+513\frac { 2 } { 13 } + \frac { 5 } { 13 }132​+135​

Perform the indicated operation, and express your answer in reduced form. 43x3+5x\frac { 4 } { 3 x ^ { 3 } } + \frac { 5 } { x }3x34​+x5​

Evaluate. (6.6) + (-5.2)

Add the fractions below, and express the answer in lowest terms. 1226y+1026y\frac { 12 } { 26 y } + \frac { 10 } { 26 y }26y12​+26y10​

Only rational numbers with common denominators can be multiplied or divided.

Translate the word phrase into an algebraic expression. The quantity, x minus y , divided by 4.

Subtract the fractions below,and express the answer in its lowest terms. 617−417\frac { 6 } { 17 } - \frac { 4 } { 17 }176​−174​

Reduce the fraction below to its simplest form. 14q3n921n2q5\frac { 14 q ^ { 3 } n ^ { 9 } } { 21 n ^ { 2 } q ^ { 5 } }21n2q514q3n9​

Reduce the fraction below to its lowest terms. 4520\frac { 45 } { 20 }2045​

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

Simplify the numerical expression below. $7 ( - 4 ) ^ { 3 } - 3 ( - 6 ) ^ { 2 } + 11 ( - 6 ) + 4$

Reduce the fraction below to its lowest terms. $\frac { 55 a x } { 40 a }$

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 7 } { 8 } \right) \left( \frac { 4 } { 7 } \right) \div \left( - \frac { 7 } { 2 } \right)$

Evaluate. $8.05 \div 3.5$

Subtract as indicated, and express your answer in lowest terms. $\frac { 5 } { 8 } - \frac { 4 } { 5 }$

Multiply as indicated, and express your answer in reduced form. $\left( - \frac { 4 } { 14 } \right) \left( - \frac { 14 } { 24 } \right)$

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 1 } { 7 } + \frac { 6 } { 4 } \cdot \frac { 4 } { 30 } - \frac { 1 } { 20 } \cdot \frac { 4 } { 7 }$

Use exponents to express the algebraic expression below in a more compact form. $\left( 6 p ^ { 2 } \right) \left( 11 p ^ { 3 } \right)$

Divide as indicated, and express your answer in reduced form. $\frac { 9 } { x } \div \frac { 21 } { y }$

Add the fractions below, and express the answer in lowest terms. $\frac { 10 } { 3 z } + \frac { 8 } { 5 a }$

Add the fractions below, and express the answer in its lowest terms. $\frac { 2 } { 13 } + \frac { 5 } { 13 }$

Perform the indicated operation, and express your answer in reduced form. $\frac { 4 } { 3 x ^ { 3 } } + \frac { 5 } { x }$

Add the fractions below, and express the answer in lowest terms. $\frac { 12 } { 26 y } + \frac { 10 } { 26 y }$

Subtract the fractions below,and express the answer in its lowest terms. $\frac { 6 } { 17 } - \frac { 4 } { 17 }$

Reduce the fraction below to its simplest form. $\frac { 14 q ^ { 3 } n ^ { 9 } } { 21 n ^ { 2 } q ^ { 5 } }$

Reduce the fraction below to its lowest terms. $\frac { 45 } { 20 }$