Question 1

Simplify the numerical expression below. $\frac { 3 ( 6 ) ^ { 5 } } { 18 } - \frac { 2 ( 2 ) ^ { 3 } } { 8 }$

Accepted Answer

A)  1,307 
B)  1,289 
C)  1,324 
D)  1,294 
E)  1,274 
A)  1,307 
B)  1,289 
C)  1,324 
D)  1,294 
E)  1,274

Question 2

Evaluate. -5.2 + 15.5

Accepted Answer

The answer of Evaluate. -5.2 + 15.5...

Question 3

Multiply as indicated, and express your answer in reduced form. $4 x y \cdot \frac { 6 } { x }$

Accepted Answer

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

Question 4

In the expression, $- 7 ^ { 4 }$ , the base is $- 7$ .

Accepted Answer

A) True 
 B)False

Question 5

Subtract the fractions below, and express the answer in lowest terms. $\frac { 6 } { y } - \frac { 8 } { a }$

Accepted Answer

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

Question 6

Evaluate the algebraic expression for the given values of the variables. $- x - 3 y + 4 z$ for $x = 1.9 , y = - 3.4 , \text { and } z = 4.6$

Accepted Answer

A)  27.8 
B)  26.7 
C)  27.1 
D)  24.5 
E)  30 
A)  27.8 
B)  26.7 
C)  27.1 
D)  24.5 
E)  30

Question 7

Simplify the algebraic expression by combining similar terms. $\frac { 2 } { 5 } n - \frac { 1 } { 4 } n + \frac { 7 } { 10 } n$

Accepted Answer

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

Question 8

Reduce the fraction below to its lowest terms. $\frac { 15 b y } { 160 b }$

Accepted Answer

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

Question 9

What phrase corresponds to the following algebraic expression? $a - b$

Accepted Answer

A)  The difference of a and b . 
B)  The quotient of A divided by w . 
C)  Two more than three times y . 
A)  The difference of a and b . 
B)  The quotient of A divided by w . 
C)  Two more than three times y .

Question 10

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

Accepted Answer

A)  1,106 
B)  1,096 
C)  1,120 
D)  1,081 
A)  1,106 
B)  1,096 
C)  1,120 
D)  1,081

Question 11

Add as indicated, and express your answer in lowest terms. $8 + \frac { 5 } { x }$

Accepted Answer

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

Question 12

Subtract as indicated, and express your answer in lowest terms. $- \frac { 1 } { 11 } - \frac { 6 } { 55 }$

Accepted Answer

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

Question 13

Translate the word phrase into an algebraic expression. Two times the quantity, n plus 2.

Accepted Answer

A)  2 n + 2 
B)  ( n + 2)( n + 2) 
C)  2 + n + 2 
D)  2 ( n + 2) 
E)  none of these 
A)  2 n + 2 
B)  ( n + 2)( n + 2) 
C)  2 + n + 2 
D)  2 ( n + 2) 
E)  none of these

Question 14

Translate the word phrase into an algebraic expression. The product of a and b .

Accepted Answer

A)  $a - b$ 
B)  $( a \cdot b ) ^ { 2 }$ 
C)  $a \cdot b$ 
D)  $a \cdot 2 b$ 
E)  $a + b$ 
A)  $a - b$ 
B)  $( a \cdot b ) ^ { 2 }$ 
C)  $a \cdot b$ 
D)  $a \cdot 2 b$ 
E)  $a + b$

Question 15

Answer the question with an algebraic expression. The first side of a triangle is k feet long. The second side is 3 feet longer than the first side. The third side is twice as long as the second side. What is the perimeter of the triangle in inches? Please enter your answer as an algebraic expression without the units.

Accepted Answer

The answer of Answer the question with an algebraic expression....

Question 16

Answer the question with an algebraic expression. If n represents a whole number, what represents the next larger whole number?

Accepted Answer

A)  n + 2 
B)  n - 1 
C)  n + 1 
D)  2 n + 1 
E)  none of these 
A)  n + 2 
B)  n - 1 
C)  n + 1 
D)  2 n + 1 
E)  none of these

Question 17

Reduce the fraction to lowest terms. $\frac { 20 y } { 35 y }$

Accepted Answer

A)  $\frac { 7 y } { 4 }$ 
B)  $\frac { 4 } { 7 }$ 
C)  $\frac { 6 } { 7 }$ 
D)  $\frac { 6 } { 7 y }$ 
E)  $\frac { 4 y } { 7 y }$ 
A)  $\frac { 7 y } { 4 }$ 
B)  $\frac { 4 } { 7 }$ 
C)  $\frac { 6 } { 7 }$ 
D)  $\frac { 6 } { 7 y }$ 
E)  $\frac { 4 y } { 7 y }$

Question 18

Add the fractions below, and express the answer in its lowest terms. $\frac { 8 } { 17 } + \frac { 4 } { 17 }$

Accepted Answer

A)  $\frac { 12 } { 17 }$ 
B)  $\frac { 8 } { 17 }$ 
C)  $\frac { 4 } { 34 }$ 
D)  none of these 
A)  $\frac { 12 } { 17 }$ 
B)  $\frac { 8 } { 17 }$ 
C)  $\frac { 4 } { 34 }$ 
D)  none of these

Question 19

Sally Ritchie leaves $\frac { 1 } { 8 }$ of her estate to the Girl Scouts, $\frac { 2 } { 9 }$ to the local college, and the rest to her favorite charity. What fractional part of the estate does the charity receive?

Accepted Answer

The answer of Sally Ritchie leaves \(\frac { 1 }...

Question 20

Simplify the numerical expression and express your answer in reduced form. $\frac { 63 } { 8 } \left( \frac { 5 } { 9 } - \frac { 1 } { 18 } \right)$

Accepted Answer

A)  $\frac { 567 } { 16 }$ 
B)  $\frac { 70 } { 8 }$ 
C)  $\frac { 63 } { 16 }$ 
D)  $\frac { 9 } { 16 }$ 
E)  none of these 
A)  $\frac { 567 } { 16 }$ 
B)  $\frac { 70 } { 8 }$ 
C)  $\frac { 63 } { 16 }$ 
D)  $\frac { 9 } { 16 }$ 
E)  none of these

Simplify the numerical expression below. $\frac { 3 ( 6 ) ^ { 5 } } { 18 } - \frac { 2 ( 2 ) ^ { 3 } } { 8 }$

Evaluate. -5.2 + 15.5

Multiply as indicated, and express your answer in reduced form. $4 x y \cdot \frac { 6 } { x }$

In the expression, $- 7 ^ { 4 }$ , the base is $- 7$ .

Subtract the fractions below, and express the answer in lowest terms. $\frac { 6 } { y } - \frac { 8 } { a }$

Evaluate the algebraic expression for the given values of the variables. $- x - 3 y + 4 z$ for $x = 1.9 , y = - 3.4 , \text { and } z = 4.6$

Simplify the algebraic expression by combining similar terms. $\frac { 2 } { 5 } n - \frac { 1 } { 4 } n + \frac { 7 } { 10 } n$

Reduce the fraction below to its lowest terms. $\frac { 15 b y } { 160 b }$

What phrase corresponds to the following algebraic expression? $a - b$

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

Add as indicated, and express your answer in lowest terms. $8 + \frac { 5 } { x }$

Subtract as indicated, and express your answer in lowest terms. $- \frac { 1 } { 11 } - \frac { 6 } { 55 }$

Translate the word phrase into an algebraic expression. Two times the quantity, n plus 2.

Translate the word phrase into an algebraic expression. The product of a and b .

Answer the question with an algebraic expression. If n represents a whole number, what represents the next larger whole number?

Reduce the fraction to lowest terms. $\frac { 20 y } { 35 y }$

Add the fractions below, and express the answer in its lowest terms. $\frac { 8 } { 17 } + \frac { 4 } { 17 }$

Sally Ritchie leaves $\frac { 1 } { 8 }$ of her estate to the Girl Scouts, $\frac { 2 } { 9 }$ to the local college, and the rest to her favorite charity. What fractional part of the estate does the charity receive?

Simplify the numerical expression and express your answer in reduced form. $\frac { 63 } { 8 } \left( \frac { 5 } { 9 } - \frac { 1 } { 18 } \right)$

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. 3(6)518−2(2)38\frac { 3 ( 6 ) ^ { 5 } } { 18 } - \frac { 2 ( 2 ) ^ { 3 } } { 8 }183(6)5​−82(2)3​

Evaluate. -5.2 + 15.5

Multiply as indicated, and express your answer in reduced form. 4xy⋅6x4 x y \cdot \frac { 6 } { x }4xy⋅x6​

In the expression, −74- 7 ^ { 4 }−74 , the base is −7- 7−7 .

Subtract the fractions below, and express the answer in lowest terms. 6y−8a\frac { 6 } { y } - \frac { 8 } { a }y6​−a8​

Evaluate the algebraic expression for the given values of the variables. −x−3y+4z- x - 3 y + 4 z−x−3y+4z for x=1.9,y=−3.4, and z=4.6x = 1.9 , y = - 3.4 , \text { and } z = 4.6x=1.9,y=−3.4, and z=4.6

Simplify the algebraic expression by combining similar terms. 25n−14n+710n\frac { 2 } { 5 } n - \frac { 1 } { 4 } n + \frac { 7 } { 10 } n52​n−41​n+107​n

Reduce the fraction below to its lowest terms. 15by160b\frac { 15 b y } { 160 b }160b15by​

What phrase corresponds to the following algebraic expression? a−ba - ba−b

Simplify the numerical expression below. 34+45−323 ^ { 4 } + 4 ^ { 5 } - 3 ^ { 2 }34+45−32

Add as indicated, and express your answer in lowest terms. 8+5x8 + \frac { 5 } { x }8+x5​

Subtract as indicated, and express your answer in lowest terms. −111−655- \frac { 1 } { 11 } - \frac { 6 } { 55 }−111​−556​

Translate the word phrase into an algebraic expression. Two times the quantity, n plus 2.

Translate the word phrase into an algebraic expression. The product of a and b .

Answer the question with an algebraic expression. If n represents a whole number, what represents the next larger whole number?

Reduce the fraction to lowest terms. 20y35y\frac { 20 y } { 35 y }35y20y​

Add the fractions below, and express the answer in its lowest terms. 817+417\frac { 8 } { 17 } + \frac { 4 } { 17 }178​+174​

Sally Ritchie leaves 18\frac { 1 } { 8 }81​ of her estate to the Girl Scouts, 29\frac { 2 } { 9 }92​ to the local college, and the rest to her favorite charity. What fractional part of the estate does the charity receive?

Simplify the numerical expression and express your answer in reduced form. 638(59−118)\frac { 63 } { 8 } \left( \frac { 5 } { 9 } - \frac { 1 } { 18 } \right)863​(95​−181​)

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. $\frac { 3 ( 6 ) ^ { 5 } } { 18 } - \frac { 2 ( 2 ) ^ { 3 } } { 8 }$

Multiply as indicated, and express your answer in reduced form. $4 x y \cdot \frac { 6 } { x }$

In the expression, $- 7 ^ { 4 }$ , the base is $- 7$ .

Subtract the fractions below, and express the answer in lowest terms. $\frac { 6 } { y } - \frac { 8 } { a }$

Evaluate the algebraic expression for the given values of the variables. $- x - 3 y + 4 z$ for $x = 1.9 , y = - 3.4 , \text { and } z = 4.6$

Simplify the algebraic expression by combining similar terms. $\frac { 2 } { 5 } n - \frac { 1 } { 4 } n + \frac { 7 } { 10 } n$

Reduce the fraction below to its lowest terms. $\frac { 15 b y } { 160 b }$

What phrase corresponds to the following algebraic expression? $a - b$

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

Add as indicated, and express your answer in lowest terms. $8 + \frac { 5 } { x }$

Subtract as indicated, and express your answer in lowest terms. $- \frac { 1 } { 11 } - \frac { 6 } { 55 }$

Reduce the fraction to lowest terms. $\frac { 20 y } { 35 y }$

Add the fractions below, and express the answer in its lowest terms. $\frac { 8 } { 17 } + \frac { 4 } { 17 }$

Sally Ritchie leaves $\frac { 1 } { 8 }$ of her estate to the Girl Scouts, $\frac { 2 } { 9 }$ to the local college, and the rest to her favorite charity. What fractional part of the estate does the charity receive?

Simplify the numerical expression and express your answer in reduced form. $\frac { 63 } { 8 } \left( \frac { 5 } { 9 } - \frac { 1 } { 18 } \right)$