Question 1

Simplify the algebraic expression by combining similar terms. $\frac { 3 } { 5 } n - \frac { 3 } { 4 } n + \frac { 7 } { 10 } n$

Accepted Answer

A)  $- \frac { 13 } { 20 } n$ 
B)  $\frac { 20 } { 13 } n$ 
C)  $\frac { 13 } { 20 } n$ 
D)  $\frac { 11 } { 20 } n$ 
E)  $\frac { 20 } { 11 } n$ 
A)  $- \frac { 13 } { 20 } n$ 
B)  $\frac { 20 } { 13 } n$ 
C)  $\frac { 13 } { 20 } n$ 
D)  $\frac { 11 } { 20 } n$ 
E)  $\frac { 20 } { 11 } n$

Question 2

Add the fractions below, and express the answer in its lowest terms. $\frac { 1 } { 8 y } + \frac { 10 } { y }$

Accepted Answer

A)  $\frac { 81 } { 8 y }$ 
B)  $\frac { 10 } { 8 }$ 
C)  $\frac { 80 } { 16 y }$ 
D)  none of these 
A)  $\frac { 81 } { 8 y }$ 
B)  $\frac { 10 } { 8 }$ 
C)  $\frac { 80 } { 16 y }$ 
D)  none of these

Question 3

Simplify the expression below by combining similar terms. $9 t ^ { 4 } - 14 t ^ { 4 } + 3 t ^ { 4 }$

Accepted Answer

The answer of Simplify the expression below by combining similar...

Question 4

Subtract as indicated, and express your answer in lowest terms. $- \frac { 2 } { 17 } - \frac { 9 } { 68 }$

Accepted Answer

A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 3 } { 4 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $- \frac { 1 } { 4 }$ 
E)  $- \frac { 3 } { 4 }$ 
A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 3 } { 4 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $- \frac { 1 } { 4 }$ 
E)  $- \frac { 3 } { 4 }$

Question 5

Subtract as indicated, and express your answer in lowest terms. $\frac { 5 } { 7 } - \frac { 3 } { 4 }$

Accepted Answer

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

Question 6

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 3 } { 10 } \right) \left( \frac { 18 } { 19 } \right) \left( - \frac { 20 } { 12 } \right)$

Accepted Answer

A)  $- \frac { 10 } { 19 }$ 
B)  $\frac { 9 } { 19 }$ 
C)  $- \frac { 9 } { 19 }$ 
D)  $\frac { 10 } { 19 }$ 
E)  $\frac { 19 } { 9 }$ 
A)  $- \frac { 10 } { 19 }$ 
B)  $\frac { 9 } { 19 }$ 
C)  $- \frac { 9 } { 19 }$ 
D)  $\frac { 10 } { 19 }$ 
E)  $\frac { 19 } { 9 }$

Question 7

Vinay has a board that is $13 \frac { 1 } { 2 }$ feet long. If he cuts off a piece $5 \frac { 3 } { 4 }$ feet long, how long is the remaining piece of board?

Accepted Answer

A)  $7 \frac { 3 } { 4 }$ feet 
B)  $8 \frac { 3 } { 4 }$ feet 
C)  $4 \frac { 1 } { 4 }$ feet 
D)  $7 \frac { 1 } { 4 }$ feet 
E)  none of these 
A)  $7 \frac { 3 } { 4 }$ feet 
B)  $8 \frac { 3 } { 4 }$ feet 
C)  $4 \frac { 1 } { 4 }$ feet 
D)  $7 \frac { 1 } { 4 }$ feet 
E)  none of these

Question 8

Evaluate the algebraic expression for the given values of the variables. $- x - 4 y + 3 z$ for $x = 2.3 , y = - 3.8 \text {, and } z = 4.4$ .

Accepted Answer

The answer of Evaluate the algebraic expression for the given...

Question 9

When evaluating $2 x - y$ for $x = 6$ and $y = - 3$ , the expression becomes $2 ( 6 ) - 3$ .

Accepted Answer

A) True 
 B)False

Question 10

Simplify the expression below by combining similar terms. $3 p ^ { 4 } - 6 p ^ { 5 } + 14 p ^ { 4 } + 2 p ^ { 6 } + 10 p ^ { 5 } + 7 p ^ { 6 }$

Accepted Answer

A)  $17 p ^ { 4 } + 21 p ^ { 5 } + 30 p ^ { 6 }$ 
B)  $17 p ^ { 4 } + 4 p ^ { 5 } + 9 p ^ { 6 }$ 
C)  $17 p ^ { 4 } - 4 p ^ { 5 } - 9 p ^ { 6 }$ 
D)  $17 p ^ { 8 } + 4 p ^ { 10 } + 9 p ^ { 12 }$ 
A)  $17 p ^ { 4 } + 21 p ^ { 5 } + 30 p ^ { 6 }$ 
B)  $17 p ^ { 4 } + 4 p ^ { 5 } + 9 p ^ { 6 }$ 
C)  $17 p ^ { 4 } - 4 p ^ { 5 } - 9 p ^ { 6 }$ 
D)  $17 p ^ { 8 } + 4 p ^ { 10 } + 9 p ^ { 12 }$

Question 11

Answer the question with an algebraic expression. The sum of two numbers is 98 and one of the numbers is k . What is the other number?

Accepted Answer

A)  98 + k 
B)  98 - k 
C)  98 - z 
D)  k - 98 
E)  none of these 
A)  98 + k 
B)  98 - k 
C)  98 - z 
D)  k - 98 
E)  none of these

Question 12

Evaluate the algebraic expression for the given values of the variables. $0.4 x + 0.5 y$ for $x = - 5 \text { and } y = 3$ .

Accepted Answer

The answer of Evaluate the algebraic expression for the given...

Question 13

Divide as indicated, and express your answer in reduced form. $\frac { - 5 } { x } \div \frac { 9 } { x }$

Accepted Answer

A)  $- \frac { 9 } { 5 }$ 
B)  $\frac { 9 x } { 5 x }$ 
C)  $- 45$ 
D)  $- \frac { 5 } { 9 }$ 
E)  $\frac { 5 x } { 9 }$ 
A)  $- \frac { 9 } { 5 }$ 
B)  $\frac { 9 x } { 5 x }$ 
C)  $- 45$ 
D)  $- \frac { 5 } { 9 }$ 
E)  $\frac { 5 x } { 9 }$

Question 14

Reduce the fraction below to its lowest terms. $\frac { 90 b } { 20 b }$

Accepted Answer

The answer of Reduce the fraction below to its lowest...

Question 15

Reduce the fraction below to its lowest terms. $\frac { 99 } { 72 }$

Accepted Answer

The answer of Reduce the fraction below to its lowest...

Question 16

Simplify the numerical expression and express your answer in reduced form. $\frac { 4 } { 5 } \div \frac { 9 } { 8 } + \frac { 8 } { 12 } \cdot \frac { 3 } { 9 } - \frac { 9 } { 12 }$

Accepted Answer

The answer of Simplify the numerical expression and express your...

Question 17

Translate the word phrase into an algebraic expression. Five minus the cube of y .

Accepted Answer

A)  $y ^ { 3 } - 5$ 
B)  $5 - y ^ { 3 }$ 
C)  $( 5 - y ) ^ { 3 }$ 
D)  $( y - 5 ) ^ { 3 }$ 
E)  none of these 
A)  $y ^ { 3 } - 5$ 
B)  $5 - y ^ { 3 }$ 
C)  $( 5 - y ) ^ { 3 }$ 
D)  $( y - 5 ) ^ { 3 }$ 
E)  none of these

Question 18

Simplify the numerical expression below. $\frac { 6 ( 7 ) ^ { 2 } } { 42 } - \frac { 8 ( 4 ) ^ { 5 } } { 128 }$

Accepted Answer

The answer of Simplify the numerical expression below. \(\frac {...

Question 19

Division of rational numbers can be expressed in terms of multiplication by the reciprocal.

Accepted Answer

A) True 
 B)False

Question 20

Simplify the numerical expression and express your answer in reduced form. $\frac { 4 } { 5 } \div \frac { 8 } { 7 } + \frac { 6 } { 9 } \cdot \frac { 2 } { 6 } - \frac { 5 } { 9 }$

Accepted Answer

A)  $\frac { 13 } { 30 }$ 
B)  $- \frac { 13 } { 30 }$ 
C)  $\frac { 30 } { 11 }$ 
D)  $\frac { 11 } { 30 }$ 
E)  $\frac { 30 } { 13 }$ 
A)  $\frac { 13 } { 30 }$ 
B)  $- \frac { 13 } { 30 }$ 
C)  $\frac { 30 } { 11 }$ 
D)  $\frac { 11 } { 30 }$ 
E)  $\frac { 30 } { 13 }$

Simplify the algebraic expression by combining similar terms. $\frac { 3 } { 5 } n - \frac { 3 } { 4 } n + \frac { 7 } { 10 } n$

Add the fractions below, and express the answer in its lowest terms. $\frac { 1 } { 8 y } + \frac { 10 } { y }$

Simplify the expression below by combining similar terms. $9 t ^ { 4 } - 14 t ^ { 4 } + 3 t ^ { 4 }$

Subtract as indicated, and express your answer in lowest terms. $- \frac { 2 } { 17 } - \frac { 9 } { 68 }$

Subtract as indicated, and express your answer in lowest terms. $\frac { 5 } { 7 } - \frac { 3 } { 4 }$

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 3 } { 10 } \right) \left( \frac { 18 } { 19 } \right) \left( - \frac { 20 } { 12 } \right)$

Vinay has a board that is $13 \frac { 1 } { 2 }$ feet long. If he cuts off a piece $5 \frac { 3 } { 4 }$ feet long, how long is the remaining piece of board?

Evaluate the algebraic expression for the given values of the variables. $- x - 4 y + 3 z$ for $x = 2.3 , y = - 3.8 \text {, and } z = 4.4$ .

When evaluating $2 x - y$ for $x = 6$ and $y = - 3$ , the expression becomes $2 ( 6 ) - 3$ .

Simplify the expression below by combining similar terms. $3 p ^ { 4 } - 6 p ^ { 5 } + 14 p ^ { 4 } + 2 p ^ { 6 } + 10 p ^ { 5 } + 7 p ^ { 6 }$

Answer the question with an algebraic expression. The sum of two numbers is 98 and one of the numbers is k . What is the other number?

Evaluate the algebraic expression for the given values of the variables. $0.4 x + 0.5 y$ for $x = - 5 \text { and } y = 3$ .

Divide as indicated, and express your answer in reduced form. $\frac { - 5 } { x } \div \frac { 9 } { x }$

Reduce the fraction below to its lowest terms. $\frac { 90 b } { 20 b }$

Reduce the fraction below to its lowest terms. $\frac { 99 } { 72 }$

Simplify the numerical expression and express your answer in reduced form. $\frac { 4 } { 5 } \div \frac { 9 } { 8 } + \frac { 8 } { 12 } \cdot \frac { 3 } { 9 } - \frac { 9 } { 12 }$

Translate the word phrase into an algebraic expression. Five minus the cube of y .

Simplify the numerical expression below. $\frac { 6 ( 7 ) ^ { 2 } } { 42 } - \frac { 8 ( 4 ) ^ { 5 } } { 128 }$

Division of rational numbers can be expressed in terms of multiplication by the reciprocal.

Simplify the numerical expression and express your answer in reduced form. $\frac { 4 } { 5 } \div \frac { 8 } { 7 } + \frac { 6 } { 9 } \cdot \frac { 2 } { 6 } - \frac { 5 } { 9 }$

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 algebraic expression by combining similar terms. 35n−34n+710n\frac { 3 } { 5 } n - \frac { 3 } { 4 } n + \frac { 7 } { 10 } n53​n−43​n+107​n

Add the fractions below, and express the answer in its lowest terms. 18y+10y\frac { 1 } { 8 y } + \frac { 10 } { y }8y1​+y10​

Simplify the expression below by combining similar terms. 9t4−14t4+3t49 t ^ { 4 } - 14 t ^ { 4 } + 3 t ^ { 4 }9t4−14t4+3t4

Subtract as indicated, and express your answer in lowest terms. −217−968- \frac { 2 } { 17 } - \frac { 9 } { 68 }−172​−689​

Subtract as indicated, and express your answer in lowest terms. 57−34\frac { 5 } { 7 } - \frac { 3 } { 4 }75​−43​

Perform the operations as indicated, and express your answer in lowest terms. (−310)(1819)(−2012)\left( - \frac { 3 } { 10 } \right) \left( \frac { 18 } { 19 } \right) \left( - \frac { 20 } { 12 } \right)(−103​)(1918​)(−1220​)

Vinay has a board that is 131213 \frac { 1 } { 2 }1321​ feet long. If he cuts off a piece 5345 \frac { 3 } { 4 }543​ feet long, how long is the remaining piece of board?

Evaluate the algebraic expression for the given values of the variables. −x−4y+3z- x - 4 y + 3 z−x−4y+3z for x=2.3,y=−3.8, and z=4.4x = 2.3 , y = - 3.8 \text {, and } z = 4.4x=2.3,y=−3.8, and z=4.4 .

When evaluating 2x−y2 x - y2x−y for x=6x = 6x=6 and y=−3y = - 3y=−3 , the expression becomes 2(6)−32 ( 6 ) - 32(6)−3 .

Simplify the expression below by combining similar terms. 3p4−6p5+14p4+2p6+10p5+7p63 p ^ { 4 } - 6 p ^ { 5 } + 14 p ^ { 4 } + 2 p ^ { 6 } + 10 p ^ { 5 } + 7 p ^ { 6 }3p4−6p5+14p4+2p6+10p5+7p6

Answer the question with an algebraic expression. The sum of two numbers is 98 and one of the numbers is k . What is the other number?

Evaluate the algebraic expression for the given values of the variables. 0.4x+0.5y0.4 x + 0.5 y0.4x+0.5y for x=−5 and y=3x = - 5 \text { and } y = 3x=−5 and y=3 .

Divide as indicated, and express your answer in reduced form. −5x÷9x\frac { - 5 } { x } \div \frac { 9 } { x }x−5​÷x9​

Reduce the fraction below to its lowest terms. 90b20b\frac { 90 b } { 20 b }20b90b​

Reduce the fraction below to its lowest terms. 9972\frac { 99 } { 72 }7299​

Simplify the numerical expression and express your answer in reduced form. 45÷98+812⋅39−912\frac { 4 } { 5 } \div \frac { 9 } { 8 } + \frac { 8 } { 12 } \cdot \frac { 3 } { 9 } - \frac { 9 } { 12 }54​÷89​+128​⋅93​−129​

Translate the word phrase into an algebraic expression. Five minus the cube of y .

Simplify the numerical expression below. 6(7)242−8(4)5128\frac { 6 ( 7 ) ^ { 2 } } { 42 } - \frac { 8 ( 4 ) ^ { 5 } } { 128 }426(7)2​−1288(4)5​

Division of rational numbers can be expressed in terms of multiplication by the reciprocal.

Simplify the numerical expression and express your answer in reduced form. 45÷87+69⋅26−59\frac { 4 } { 5 } \div \frac { 8 } { 7 } + \frac { 6 } { 9 } \cdot \frac { 2 } { 6 } - \frac { 5 } { 9 }54​÷78​+96​⋅62​−95​

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 algebraic expression by combining similar terms. $\frac { 3 } { 5 } n - \frac { 3 } { 4 } n + \frac { 7 } { 10 } n$

Add the fractions below, and express the answer in its lowest terms. $\frac { 1 } { 8 y } + \frac { 10 } { y }$

Simplify the expression below by combining similar terms. $9 t ^ { 4 } - 14 t ^ { 4 } + 3 t ^ { 4 }$

Subtract as indicated, and express your answer in lowest terms. $- \frac { 2 } { 17 } - \frac { 9 } { 68 }$

Subtract as indicated, and express your answer in lowest terms. $\frac { 5 } { 7 } - \frac { 3 } { 4 }$

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 3 } { 10 } \right) \left( \frac { 18 } { 19 } \right) \left( - \frac { 20 } { 12 } \right)$

Vinay has a board that is $13 \frac { 1 } { 2 }$ feet long. If he cuts off a piece $5 \frac { 3 } { 4 }$ feet long, how long is the remaining piece of board?

Evaluate the algebraic expression for the given values of the variables. $- x - 4 y + 3 z$ for $x = 2.3 , y = - 3.8 \text {, and } z = 4.4$ .

When evaluating $2 x - y$ for $x = 6$ and $y = - 3$ , the expression becomes $2 ( 6 ) - 3$ .

Simplify the expression below by combining similar terms. $3 p ^ { 4 } - 6 p ^ { 5 } + 14 p ^ { 4 } + 2 p ^ { 6 } + 10 p ^ { 5 } + 7 p ^ { 6 }$

Evaluate the algebraic expression for the given values of the variables. $0.4 x + 0.5 y$ for $x = - 5 \text { and } y = 3$ .

Divide as indicated, and express your answer in reduced form. $\frac { - 5 } { x } \div \frac { 9 } { x }$

Reduce the fraction below to its lowest terms. $\frac { 90 b } { 20 b }$

Reduce the fraction below to its lowest terms. $\frac { 99 } { 72 }$

Simplify the numerical expression and express your answer in reduced form. $\frac { 4 } { 5 } \div \frac { 9 } { 8 } + \frac { 8 } { 12 } \cdot \frac { 3 } { 9 } - \frac { 9 } { 12 }$

Simplify the numerical expression below. $\frac { 6 ( 7 ) ^ { 2 } } { 42 } - \frac { 8 ( 4 ) ^ { 5 } } { 128 }$

Simplify the numerical expression and express your answer in reduced form. $\frac { 4 } { 5 } \div \frac { 8 } { 7 } + \frac { 6 } { 9 } \cdot \frac { 2 } { 6 } - \frac { 5 } { 9 }$