Question 1

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

Accepted Answer

A)  $\frac { 5 } { 19 }$ 
B)  $- \frac { 19 } { 5 }$ 
C)  $\frac { 19 } { 5 }$ 
D)  $- \frac { 5 } { 19 }$ 
E)  $- \frac { 1 } { 19 }$ 
A)  $\frac { 5 } { 19 }$ 
B)  $- \frac { 19 } { 5 }$ 
C)  $\frac { 19 } { 5 }$ 
D)  $- \frac { 5 } { 19 }$ 
E)  $- \frac { 1 } { 19 }$ B

Question 2

Add as indicated, and express your answer in lowest terms. $9 + \frac { 7 } { x }$

Accepted Answer

$\frac { 9 x + 7 } { x }$

Question 3

Reduce the fraction to lowest terms. $\frac { 6 y } { 15 y }$

Accepted Answer

$\frac { 2 } { 5 }$

Question 4

Add the fractions below, and express the answer in its lowest terms. $\frac { 4 } { 5 y } + \frac { 2 } { 3 b }$

Accepted Answer

A)  $\frac { 4 b + 10 y } { 5 b }$ 
B)  $\frac { 12 b + 2 y } { 3 y }$ 
C)  $\frac { 12 b + 10 y } { 15 y b }$ 
D)  none of these 
A)  $\frac { 4 b + 10 y } { 5 b }$ 
B)  $\frac { 12 b + 2 y } { 3 y }$ 
C)  $\frac { 12 b + 10 y } { 15 y b }$ 
D)  none of these

Question 5

Simplify the following expression by combining similar terms. $2 z ^ { 9 } - 4 l ^ { 5 } + 8 z ^ { 9 } + 10 l ^ { 5 }$

Accepted Answer

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

Question 6

Answer the question with an algebraic expression. The first side of a triangle is k feet long. The second side is 4 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?

Accepted Answer

A)  (48 k + 144) in. 
B)  (4 k + 12) in. 
C)  (48 k + 48) in. 
D)  (4 k + 4) in. 
E)  none of these 
A)  (48 k + 144) in. 
B)  (4 k + 12) in. 
C)  (48 k + 48) in. 
D)  (4 k + 4) in. 
E)  none of these

Question 7

Multiply as indicated, and express your answer in reduced form. $\frac { 3 } { 4 } \cdot \frac { - 14 } { 12 }$

Accepted Answer

A)  $\frac { 8 } { 9 }$ 
B)  $\frac { 9 } { 8 }$ 
C)  $- \frac { 8 } { 7 }$ 
D)  $- \frac { 7 } { 8 }$ 
E)  $- \frac { 9 } { 8 }$ 
A)  $\frac { 8 } { 9 }$ 
B)  $\frac { 9 } { 8 }$ 
C)  $- \frac { 8 } { 7 }$ 
D)  $- \frac { 7 } { 8 }$ 
E)  $- \frac { 9 } { 8 }$

Question 8

Reduce the fraction below to its lowest terms. $\frac { 65 a } { 40 a }$

Accepted Answer

A)  $\frac { 13 } { 8 }$ 
B)  $\frac { 26 } { 8 }$ 
C)  $\frac { 13 } { 16 }$ 
D)  none of these 
A)  $\frac { 13 } { 8 }$ 
B)  $\frac { 26 } { 8 }$ 
C)  $\frac { 13 } { 16 }$ 
D)  none of these

Question 9

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 3 } { 8 } \right) \left( \frac { 18 } { 19 } \right) \left( - \frac { 16 } { 12 } \right)$

Accepted Answer

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

Question 10

Answer the question with an algebraic expression. The perimeter of a rectangle is y yards and f feet. What is the perimeter in inches?

Accepted Answer

A)  $( y + f ) \text { in }$ . 
B)  $( 36 y + 12 f ) \text { in }$ . 
C)  $( 12 y + 36 f ) \text { in }$ 
D)  $( y - f ) \text { in }$ . 
E)  none of these 
A)  $( y + f ) \text { in }$ . 
B)  $( 36 y + 12 f ) \text { in }$ . 
C)  $( 12 y + 36 f ) \text { in }$ 
D)  $( y - f ) \text { in }$ . 
E)  none of these

Question 11

Simplify the algebraic expression by combining similar terms. $\frac { 3 } { 7 } m + \frac { 1 } { 2 } n + \frac { 1 } { 5 } m + \frac { 3 } { 4 } n$

Accepted Answer

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

Question 12

Six less than the product of a and b is $6 - a b$ .

Accepted Answer

A) True 
 B)False

Question 13

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

Accepted Answer

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

Question 14

Sally Ritchie leaves $\frac { 1 } { 6 }$ of her estate to the Girl Scouts, $\frac { 2 } { 7 }$ to the local college, and the rest to her favorite charity. What fractional part of the estate does the charity receive?

Accepted Answer

A)  $\frac { 12 } { 7 }$ 
B)  $\frac { 23 } { 42 }$ 
C)  $\frac { 36 } { 42 }$ 
D)  none of these 
A)  $\frac { 12 } { 7 }$ 
B)  $\frac { 23 } { 42 }$ 
C)  $\frac { 36 } { 42 }$ 
D)  none of these

Question 15

Use exponents to express the algebraic expression below in a more compact form. $10 \cdot t \cdot t \cdot t \cdot t$

Accepted Answer

A)  $10 \cdot t ^ { 3 }$ 
B)  $10,000 \cdot t ^ { 4 }$ 
C)  $10 \cdot t ^ { 4 }$ 
A)  $10 \cdot t ^ { 3 }$ 
B)  $10,000 \cdot t ^ { 4 }$ 
C)  $10 \cdot t ^ { 4 }$

Question 16

Simplify the numerical expression. -8(0.6) - 0.7 + 7.7(9) - 0.6

Accepted Answer

A)  63.6 
B)  62.1 
C)  59.9 
D)  61 
E)  63.2 
A)  63.6 
B)  62.1 
C)  59.9 
D)  61 
E)  63.2

Question 17

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

Accepted Answer

A)  $\frac { 20 } { 17 } n$ 
B)  $\frac { 17 } { 20 } n$ 
C)  $\frac { 19 } { 20 } n$ 
D)  $- \frac { 19 } { 20 } n$ 
E)  $\frac { 20 } { 19 } n$ 
A)  $\frac { 20 } { 17 } n$ 
B)  $\frac { 17 } { 20 } n$ 
C)  $\frac { 19 } { 20 } n$ 
D)  $- \frac { 19 } { 20 } n$ 
E)  $\frac { 20 } { 19 } n$

Question 18

Evaluate. (-0.6)(-52)

Accepted Answer

The answer of Evaluate. (-0.6)(-52)...

Question 19

Answer the question with an algebraic expression. The perimeter of a rectangle is y yards and f feet. What is the perimeter in inches?

Accepted Answer

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

Question 20

Simplify the numerical expression. -7(0.4) - 0.6 + 3.4(6) -- 0.1

Accepted Answer

The answer of Simplify the numerical expression. -7(0.4) - 0.6...

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

Add as indicated, and express your answer in lowest terms. $9 + \frac { 7 } { x }$

Reduce the fraction to lowest terms. $\frac { 6 y } { 15 y }$

Add the fractions below, and express the answer in its lowest terms. $\frac { 4 } { 5 y } + \frac { 2 } { 3 b }$

Simplify the following expression by combining similar terms. $2 z ^ { 9 } - 4 l ^ { 5 } + 8 z ^ { 9 } + 10 l ^ { 5 }$

Answer the question with an algebraic expression. The first side of a triangle is k feet long. The second side is 4 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?

Multiply as indicated, and express your answer in reduced form. $\frac { 3 } { 4 } \cdot \frac { - 14 } { 12 }$

Reduce the fraction below to its lowest terms. $\frac { 65 a } { 40 a }$

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 3 } { 8 } \right) \left( \frac { 18 } { 19 } \right) \left( - \frac { 16 } { 12 } \right)$

Answer the question with an algebraic expression. The perimeter of a rectangle is y yards and f feet. What is the perimeter in inches?

Simplify the algebraic expression by combining similar terms. $\frac { 3 } { 7 } m + \frac { 1 } { 2 } n + \frac { 1 } { 5 } m + \frac { 3 } { 4 } n$

Six less than the product of a and b is $6 - a b$ .

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

Sally Ritchie leaves $\frac { 1 } { 6 }$ of her estate to the Girl Scouts, $\frac { 2 } { 7 }$ to the local college, and the rest to her favorite charity. What fractional part of the estate does the charity receive?

Use exponents to express the algebraic expression below in a more compact form. $10 \cdot t \cdot t \cdot t \cdot t$

Simplify the numerical expression. -8(0.6) - 0.7 + 7.7(9) - 0.6

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

Evaluate. (-0.6)(-52)

Answer the question with an algebraic expression. The perimeter of a rectangle is y yards and f feet. What is the perimeter in inches?

Simplify the numerical expression. -7(0.4) - 0.6 + 3.4(6) -- 0.1

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

Subtract as indicated, and express your answer in lowest terms. −3−45- 3 - \frac { 4 } { 5 }−3−54​

Add as indicated, and express your answer in lowest terms. 9+7x9 + \frac { 7 } { x }9+x7​

Reduce the fraction to lowest terms. 6y15y\frac { 6 y } { 15 y }15y6y​

Add the fractions below, and express the answer in its lowest terms. 45y+23b\frac { 4 } { 5 y } + \frac { 2 } { 3 b }5y4​+3b2​

Simplify the following expression by combining similar terms. 2z9−4l5+8z9+10l52 z ^ { 9 } - 4 l ^ { 5 } + 8 z ^ { 9 } + 10 l ^ { 5 }2z9−4l5+8z9+10l5

Answer the question with an algebraic expression. The first side of a triangle is k feet long. The second side is 4 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?

Multiply as indicated, and express your answer in reduced form. 34⋅−1412\frac { 3 } { 4 } \cdot \frac { - 14 } { 12 }43​⋅12−14​

Reduce the fraction below to its lowest terms. 65a40a\frac { 65 a } { 40 a }40a65a​

Perform the operations as indicated, and express your answer in lowest terms. (−38)(1819)(−1612)\left( - \frac { 3 } { 8 } \right) \left( \frac { 18 } { 19 } \right) \left( - \frac { 16 } { 12 } \right)(−83​)(1918​)(−1216​)

Answer the question with an algebraic expression. The perimeter of a rectangle is y yards and f feet. What is the perimeter in inches?

Simplify the algebraic expression by combining similar terms. 37m+12n+15m+34n\frac { 3 } { 7 } m + \frac { 1 } { 2 } n + \frac { 1 } { 5 } m + \frac { 3 } { 4 } n73​m+21​n+51​m+43​n

Six less than the product of a and b is 6−ab6 - a b6−ab .

Find the value of the numerical expression below. 555 ^ { 5 }55

Sally Ritchie leaves 16\frac { 1 } { 6 }61​ of her estate to the Girl Scouts, 27\frac { 2 } { 7 }72​ to the local college, and the rest to her favorite charity. What fractional part of the estate does the charity receive?

Use exponents to express the algebraic expression below in a more compact form. 10⋅t⋅t⋅t⋅t10 \cdot t \cdot t \cdot t \cdot t10⋅t⋅t⋅t⋅t

Simplify the numerical expression. -8(0.6) - 0.7 + 7.7(9) - 0.6

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

Evaluate. (-0.6)(-52)

Answer the question with an algebraic expression. The perimeter of a rectangle is y yards and f feet. What is the perimeter in inches?

Simplify the numerical expression. -7(0.4) - 0.6 + 3.4(6) -- 0.1

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

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

Add as indicated, and express your answer in lowest terms. $9 + \frac { 7 } { x }$

Reduce the fraction to lowest terms. $\frac { 6 y } { 15 y }$

Add the fractions below, and express the answer in its lowest terms. $\frac { 4 } { 5 y } + \frac { 2 } { 3 b }$

Simplify the following expression by combining similar terms. $2 z ^ { 9 } - 4 l ^ { 5 } + 8 z ^ { 9 } + 10 l ^ { 5 }$

Multiply as indicated, and express your answer in reduced form. $\frac { 3 } { 4 } \cdot \frac { - 14 } { 12 }$

Reduce the fraction below to its lowest terms. $\frac { 65 a } { 40 a }$

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 3 } { 8 } \right) \left( \frac { 18 } { 19 } \right) \left( - \frac { 16 } { 12 } \right)$

Simplify the algebraic expression by combining similar terms. $\frac { 3 } { 7 } m + \frac { 1 } { 2 } n + \frac { 1 } { 5 } m + \frac { 3 } { 4 } n$

Six less than the product of a and b is $6 - a b$ .

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

Sally Ritchie leaves $\frac { 1 } { 6 }$ of her estate to the Girl Scouts, $\frac { 2 } { 7 }$ to the local college, and the rest to her favorite charity. What fractional part of the estate does the charity receive?

Use exponents to express the algebraic expression below in a more compact form. $10 \cdot t \cdot t \cdot t \cdot t$

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