Question 1

Add as indicated, and express your answer in lowest terms. $7 + \frac { 3 } { x }$

Accepted Answer

A)  $\frac { 7 x + 3 } { x }$ 
B)  $7 x + 3$ 
C)  $\frac { 7 + 3 x } { x }$ 
D)  $\frac { 10 } { x }$ 
E)  $10 x$ 
A)  $\frac { 7 x + 3 } { x }$ 
B)  $7 x + 3$ 
C)  $\frac { 7 + 3 x } { x }$ 
D)  $\frac { 10 } { x }$ 
E)  $10 x$

Question 2

Multiply as indicated, and express your answer in reduced form. $\left( - \frac { 7 } { 18 } \right) \left( - \frac { 18 } { 21 } \right)$

Accepted Answer

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

Question 3

Answer the question with an algebraic expression. Mary is k years old and her mother is 2 years less than twice as old as Mary. How old is Mary's mother?

Accepted Answer

A)  k - 4 
B)  2( k - 2) 
C)  2 k + 2 
D)  2 k - 2 
E)  none of these 
A)  k - 4 
B)  2( k - 2) 
C)  2 k + 2 
D)  2 k - 2 
E)  none of these

Question 4

A certain recipe calls for $\frac { 1 } { 3 }$ cup of sugar. To make one-half of the recipe, how much sugar is needed? Please enter your answer as a number without the units.

Accepted Answer

The answer of A certain recipe calls for \(\frac {...

Question 5

Match the word phrase with the corresponding algebraic expression.
-$\frac { 1 } { 3 } B h$

Accepted Answer

A)  One-third of the product of B and h. 
B)  The quotient of A divided by w. 
C)  Two more than three times y. 
A)  One-third of the product of B and h. 
B)  The quotient of A divided by w. 
C)  Two more than three times y.

Question 6

Jonas left an estate valued at $900,000. His will states that three-fourths of the estate is to be divided equally among his three children. How much should each receive?

Accepted Answer

A)  $125,500 
B)  $156,500 
C)  $149,500 
D)  $168,000 
E)  $225,000 
A)  $125,500 
B)  $156,500 
C)  $149,500 
D)  $168,000 
E)  $225,000

Question 7

Evaluate. (-0.8)(-52)

Accepted Answer

A)  41.6 
B)  44.7 
C)  41.2 
D)  39.3 
E)  42.8 
A)  41.6 
B)  44.7 
C)  41.2 
D)  39.3 
E)  42.8

Question 8

Perform the operations as indicated, and express your answer in lowest terms. $\left( \frac { 4 x } { 5 y } \right) \left( \frac { 7 y } { x } \right) \left( \frac { 15 } { 16 x } \right)$

Accepted Answer

A)  $\frac { 21 x } { 4 y }$ 
B)  $\frac { 21 } { 4 x }$ 
C)  $\frac { 4 } { 21 x }$ 
D)  $\frac { 21 x } { 4 }$ 
E)  $\frac { 4 x } { 21 }$ 
A)  $\frac { 21 x } { 4 y }$ 
B)  $\frac { 21 } { 4 x }$ 
C)  $\frac { 4 } { 21 x }$ 
D)  $\frac { 21 x } { 4 }$ 
E)  $\frac { 4 x } { 21 }$

Question 9

If the product of two numbers is 1, the numbers are said to be inverses of each other.

Accepted Answer

A) True 
 B)False

Question 10

Reduce the fraction below to its simplest form. $\frac { 30 z v } { 6 v }$

Accepted Answer

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

Question 11

If it takes $3 \frac { 1 } { 4 }$ yards of material to make one dress, how much material is needed for 12 dresses? __________ yards

Accepted Answer

The answer of If it takes \(3 \frac { 1...

Question 12

Perform the indicated operation, and express your answer in reduced form. $\frac { 3 } { 2 x ^ { 3 } } + \frac { 7 } { x }$

Accepted Answer

The answer of Perform the indicated operation, and express your...

Question 13

Evaluate. (7)(-3.7)

Accepted Answer

A)  -24.7 
B)  -23.6 
C)  -26.3 
D)  -26 
E)  -25.9 
A)  -24.7 
B)  -23.6 
C)  -26.3 
D)  -26 
E)  -25.9

Question 14

Evaluate. $5.92 \div 3.7$

Accepted Answer

A)  1.3 
B)  1.2 
C)  1.4 
D)  1.6 
E)  1.5 
A)  1.3 
B)  1.2 
C)  1.4 
D)  1.6 
E)  1.5

Question 15

Simplify the algebraic expression by combining similar terms. 0.2( x - 2) + 0.7( x + 7) - 0.3 x

Accepted Answer

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

Question 16

Subtract as indicated, and express your answer in lowest terms. $- \frac { 1 } { 15 } - \frac { 11 } { 60 }$

Accepted Answer

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

Question 17

Answer the question with an algebraic expression. The width of a rectangle is x feet and its length is 3 feet more than twice its width. What is the perimeter of the rectangle in feet? Please enter your answer as a number without the units.

Accepted Answer

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

Question 18

Add the fractions below, and express the answer in lowest terms. $\frac { 2 } { 5 z } + \frac { 3 } { 11 a }$

Accepted Answer

A)  $\frac { 22 a + 3 z } { 11 z }$ 
B)  $\frac { 22 a + 15 z } { 55 z a }$ 
C)  $\frac { 2 a + 15 z } { 5 a }$ 
D)  $\frac { 2 a + 3 z } { 55 z a }$ 
E)  none of these 
A)  $\frac { 22 a + 3 z } { 11 z }$ 
B)  $\frac { 22 a + 15 z } { 55 z a }$ 
C)  $\frac { 2 a + 15 z } { 5 a }$ 
D)  $\frac { 2 a + 3 z } { 55 z a }$ 
E)  none of these

Question 19

Classify the real number by tracing down the diagram. $$- \frac { 2 } { 7 }$$

Accepted Answer

A)  Real, irrational, positive. 
B)  Real, irrational, negative. 
C)  Real, rational, noninteger, positive. 
D)  Real, rational, noninteger, negative. 
E)  Real, rational, integer, negative. 
A)  Real, irrational, positive. 
B)  Real, irrational, negative. 
C)  Real, rational, noninteger, positive. 
D)  Real, rational, noninteger, negative. 
E)  Real, rational, integer, negative.

Question 20

Use exponents to express the algebraic expression below in a more compact form. $- 2 \cdot 7 \cdot d \cdot z \cdot z \cdot w \cdot d \cdot z$

Accepted Answer

A)  $14 \cdot z ^ { 2 } \cdot d ^ { 3 } \cdot w$ 
B)  $- 14 \cdot z ^ { 3 } \cdot d ^ { 2 } \cdot w$ 
C)  $- 14 \cdot z ^ { 3 } \cdot d ^ { 2 } \cdot w ^ { 2 }$ 
D)  $- 14 \cdot z ^ { 3 } \cdot d \cdot w$ 
A)  $14 \cdot z ^ { 2 } \cdot d ^ { 3 } \cdot w$ 
B)  $- 14 \cdot z ^ { 3 } \cdot d ^ { 2 } \cdot w$ 
C)  $- 14 \cdot z ^ { 3 } \cdot d ^ { 2 } \cdot w ^ { 2 }$ 
D)  $- 14 \cdot z ^ { 3 } \cdot d \cdot w$

Add as indicated, and express your answer in lowest terms. $7 + \frac { 3 } { x }$

Multiply as indicated, and express your answer in reduced form. $\left( - \frac { 7 } { 18 } \right) \left( - \frac { 18 } { 21 } \right)$

Answer the question with an algebraic expression. Mary is k years old and her mother is 2 years less than twice as old as Mary. How old is Mary's mother?

A certain recipe calls for $\frac { 1 } { 3 }$ cup of sugar. To make one-half of the recipe, how much sugar is needed? Please enter your answer as a number without the units.

Match the word phrase with the corresponding algebraic expression. - $\frac { 1 } { 3 } B h$

Jonas left an estate valued at $900,000. His will states that three-fourths of the estate is to be divided equally among his three children. How much should each receive?

Evaluate. (-0.8)(-52)

Perform the operations as indicated, and express your answer in lowest terms. $\left( \frac { 4 x } { 5 y } \right) \left( \frac { 7 y } { x } \right) \left( \frac { 15 } { 16 x } \right)$

If the product of two numbers is 1, the numbers are said to be inverses of each other.

Reduce the fraction below to its simplest form. $\frac { 30 z v } { 6 v }$

If it takes $3 \frac { 1 } { 4 }$ yards of material to make one dress, how much material is needed for 12 dresses? __________ yards

Perform the indicated operation, and express your answer in reduced form. $\frac { 3 } { 2 x ^ { 3 } } + \frac { 7 } { x }$

Evaluate. (7)(-3.7)

Evaluate. $5.92 \div 3.7$

Simplify the algebraic expression by combining similar terms. 0.2( x - 2) + 0.7( x + 7) - 0.3 x

Subtract as indicated, and express your answer in lowest terms. $- \frac { 1 } { 15 } - \frac { 11 } { 60 }$

Answer the question with an algebraic expression. The width of a rectangle is x feet and its length is 3 feet more than twice its width. What is the perimeter of the rectangle in feet? Please enter your answer as a number without the units.

Add the fractions below, and express the answer in lowest terms. $\frac { 2 } { 5 z } + \frac { 3 } { 11 a }$

Classify the real number by tracing down the diagram. $- \frac { 2 } { 7 }$ $Classify the real number by tracing down the diagram. - \frac { 2 } { 7 }$

Use exponents to express the algebraic expression below in a more compact form. $- 2 \cdot 7 \cdot d \cdot z \cdot z \cdot w \cdot d \cdot z$

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

Add as indicated, and express your answer in lowest terms. 7+3x7 + \frac { 3 } { x }7+x3​

Multiply as indicated, and express your answer in reduced form. (−718)(−1821)\left( - \frac { 7 } { 18 } \right) \left( - \frac { 18 } { 21 } \right)(−187​)(−2118​)

Answer the question with an algebraic expression. Mary is k years old and her mother is 2 years less than twice as old as Mary. How old is Mary's mother?

A certain recipe calls for 13\frac { 1 } { 3 }31​ cup of sugar. To make one-half of the recipe, how much sugar is needed? Please enter your answer as a number without the units.

Match the word phrase with the corresponding algebraic expression. - 13Bh\frac { 1 } { 3 } B h31​Bh

Jonas left an estate valued at $900,000. His will states that three-fourths of the estate is to be divided equally among his three children. How much should each receive?

Evaluate. (-0.8)(-52)

Perform the operations as indicated, and express your answer in lowest terms. (4x5y)(7yx)(1516x)\left( \frac { 4 x } { 5 y } \right) \left( \frac { 7 y } { x } \right) \left( \frac { 15 } { 16 x } \right)(5y4x​)(x7y​)(16x15​)

If the product of two numbers is 1, the numbers are said to be inverses of each other.

Reduce the fraction below to its simplest form. 30zv6v\frac { 30 z v } { 6 v }6v30zv​

If it takes 3143 \frac { 1 } { 4 }341​ yards of material to make one dress, how much material is needed for 12 dresses? __________ yards

Perform the indicated operation, and express your answer in reduced form. 32x3+7x\frac { 3 } { 2 x ^ { 3 } } + \frac { 7 } { x }2x33​+x7​

Evaluate. (7)(-3.7)

Evaluate. 5.92÷3.75.92 \div 3.75.92÷3.7

Simplify the algebraic expression by combining similar terms. 0.2( x - 2) + 0.7( x + 7) - 0.3 x

Subtract as indicated, and express your answer in lowest terms. −115−1160- \frac { 1 } { 15 } - \frac { 11 } { 60 }−151​−6011​

Answer the question with an algebraic expression. The width of a rectangle is x feet and its length is 3 feet more than twice its width. What is the perimeter of the rectangle in feet? Please enter your answer as a number without the units.

Add the fractions below, and express the answer in lowest terms. 25z+311a\frac { 2 } { 5 z } + \frac { 3 } { 11 a }5z2​+11a3​

Classify the real number by tracing down the diagram. −27- \frac { 2 } { 7 }−72​

Use exponents to express the algebraic expression below in a more compact form. −2⋅7⋅d⋅z⋅z⋅w⋅d⋅z- 2 \cdot 7 \cdot d \cdot z \cdot z \cdot w \cdot d \cdot z−2⋅7⋅d⋅z⋅z⋅w⋅d⋅z

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

Add as indicated, and express your answer in lowest terms. $7 + \frac { 3 } { x }$

Multiply as indicated, and express your answer in reduced form. $\left( - \frac { 7 } { 18 } \right) \left( - \frac { 18 } { 21 } \right)$

A certain recipe calls for $\frac { 1 } { 3 }$ cup of sugar. To make one-half of the recipe, how much sugar is needed? Please enter your answer as a number without the units.

Match the word phrase with the corresponding algebraic expression. - $\frac { 1 } { 3 } B h$

Perform the operations as indicated, and express your answer in lowest terms. $\left( \frac { 4 x } { 5 y } \right) \left( \frac { 7 y } { x } \right) \left( \frac { 15 } { 16 x } \right)$

Reduce the fraction below to its simplest form. $\frac { 30 z v } { 6 v }$

If it takes $3 \frac { 1 } { 4 }$ yards of material to make one dress, how much material is needed for 12 dresses? __________ yards

Perform the indicated operation, and express your answer in reduced form. $\frac { 3 } { 2 x ^ { 3 } } + \frac { 7 } { x }$

Evaluate. $5.92 \div 3.7$

Subtract as indicated, and express your answer in lowest terms. $- \frac { 1 } { 15 } - \frac { 11 } { 60 }$

Add the fractions below, and express the answer in lowest terms. $\frac { 2 } { 5 z } + \frac { 3 } { 11 a }$

Classify the real number by tracing down the diagram. $- \frac { 2 } { 7 }$ $Classify the real number by tracing down the diagram. - \frac { 2 } { 7 }$

Use exponents to express the algebraic expression below in a more compact form. $- 2 \cdot 7 \cdot d \cdot z \cdot z \cdot w \cdot d \cdot z$