Question 1

Answer the question with an algebraic expression. Janet is y years old. How old will she be in 6 years?

Accepted Answer

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

Question 2

A certain recipe calls for $\frac { 1 } { 8 }$ cup of sugar. To make one-half of the recipe, how much sugar is needed?

Accepted Answer

A)  $\frac { 1 } { 16 }$ cup 
B)  $\frac { 2 } { 8 }$ cup 
C)  $\frac { 1 } { 32 }$ cup 
D)  none of these 
A)  $\frac { 1 } { 16 }$ cup 
B)  $\frac { 2 } { 8 }$ cup 
C)  $\frac { 1 } { 32 }$ cup 
D)  none of these

Question 3

Evaluate the algebraic expression for the given values of the variables. $12 y ^ { 2 } - 2 k ^ { 2 }$ for $y = \frac { 2 } { 3 } \text { and } k = \frac { 3 } { 2 }$ .

Accepted Answer

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

Question 4

Subtract the fractions below, and express the answer in its lowest terms. $\frac { 8 } { 7 } - \frac { 7 } { 7 }$

Accepted Answer

A)  $\frac { 1 } { 7 }$ 
B)  $\frac { 7 } { 14 }$ 
C)  $\frac { 8 } { 7 }$ 
D)  none of these 
A)  $\frac { 1 } { 7 }$ 
B)  $\frac { 7 } { 14 }$ 
C)  $\frac { 8 } { 7 }$ 
D)  none of these

Question 5

Simplify the algebraic expression by combining similar terms. $\frac { 2 } { 7 } x + \frac { 1 } { 4 } y + \frac { 1 } { 3 } x + \frac { 7 } { 8 } y$

Accepted Answer

A)  $\frac { 9 } { 8 } x + \frac { 13 } { 21 } y$ 
B)  $\frac { 13 } { 21 } x + \frac { 8 } { 9 } y$ 
C)  $\frac { 23 } { 21 } x y$ 
D)  $\frac { 13 } { 21 } x + \frac { 9 } { 8 } y$ 
E)  $\frac { 21 } { 23 } ( x + y )$ 
A)  $\frac { 9 } { 8 } x + \frac { 13 } { 21 } y$ 
B)  $\frac { 13 } { 21 } x + \frac { 8 } { 9 } y$ 
C)  $\frac { 23 } { 21 } x y$ 
D)  $\frac { 13 } { 21 } x + \frac { 9 } { 8 } y$ 
E)  $\frac { 21 } { 23 } ( x + y )$

Question 6

Divide the fractions below, and express the answer in reduced form. $\frac { 4 } { 5 } \div \frac { 3 } { 2 }$

Accepted Answer

A)  $\frac { 4 } { 15 }$ 
B)  $\frac { 8 } { 15 }$ 
C)  $\frac { 8 } { 5 }$ 
D)  none of these 
A)  $\frac { 4 } { 15 }$ 
B)  $\frac { 8 } { 15 }$ 
C)  $\frac { 8 } { 5 }$ 
D)  none of these

Question 7

Reduce the fraction below to lowest terms. $\frac { 10 c } { 16 c }$

Accepted Answer

A)  $\frac { 15 } { 16 }$ 
B)  $\frac { 15 } { 8 }$ 
C)  $\frac { 5 } { 8 }$ 
D)  $\frac { 5 } { 16 }$ 
E)  none of these 
A)  $\frac { 15 } { 16 }$ 
B)  $\frac { 15 } { 8 }$ 
C)  $\frac { 5 } { 8 }$ 
D)  $\frac { 5 } { 16 }$ 
E)  none of these

Question 8

Blake Scott leaves $\frac { 2 } { 5 }$ of his estate to the Boy Scouts, $\frac { 1 } { 7 }$ to the local cancer fund, and the rest to his church. What fractional part of the estate does the church receive?

Accepted Answer

A)  $\frac { 16 } { 35 }$ 
B)  $\frac { 1 } { 35 }$ 
C)  $\frac { 3 } { 35 }$ 
D)  $\frac { 3 } { 12 }$ 
E)  none of these 
A)  $\frac { 16 } { 35 }$ 
B)  $\frac { 1 } { 35 }$ 
C)  $\frac { 3 } { 35 }$ 
D)  $\frac { 3 } { 12 }$ 
E)  none of these

Question 9

Find the value of the numerical expression below. $( 0.2 ) ^ { 2 }$

Accepted Answer

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

Question 10

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 8 } { 9 } \right) \div \left( \frac { 7 } { 9 } \right) \left( - \frac { 21 } { 8 } \right)$

Accepted Answer

A)  $- 3$ 
B)  $3$ 
C)  $\frac { 1 } { 3 }$ 
D)  $- \frac { 1 } { 3 }$ 
E)  $\frac { 4 } { 5 }$ 
A)  $- 3$ 
B)  $3$ 
C)  $\frac { 1 } { 3 }$ 
D)  $- \frac { 1 } { 3 }$ 
E)  $\frac { 4 } { 5 }$

Question 11

Subtract the fractions below, and express the answer in its lowest terms. $\frac { 4 } { 7 } - \frac { 1 } { 7 }$

Accepted Answer

A)  $\frac { 5 } { 7 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  $\frac { 3 } { 14 }$ 
D)  $\frac { 5 } { 14 }$ 
E)  none of these 
A)  $\frac { 5 } { 7 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  $\frac { 3 } { 14 }$ 
D)  $\frac { 5 } { 14 }$ 
E)  none of these

Question 12

Evaluate. $- 0.074 \div ( - 0.2 )$

Accepted Answer

The answer of Evaluate. \(- 0.074 \div ( - 0.2...

Question 13

Evaluate algebraic expression below for the given values of the variables. $2 x ^ { 2 } - 5 k x$ if x = 0.4 and k = 0.2

Accepted Answer

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

Question 14

Add the following fractions, and express the answer in lowest terms. $\frac { 4 } { 13 z } + \frac { 4 } { 13 z }$

Accepted Answer

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

Question 15

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 9 } { 4 } \left( \frac { 7 } { 3 } - \frac { 1 } { 6 } \right)$

Accepted Answer

The answer of Simplify the numerical expression below, expressing the...

Question 16

Add the fractions below, and express the answer in its lowest terms. $\frac { 8 } { 52 } + \frac { 12 } { 52 }$

Accepted Answer

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

Question 17

Answer the question with an algebraic expression. Willie is x years old and his father is 3 years less than twice Willie's age. What represents the sum of their ages?

Accepted Answer

A)  x + 3 
B)  x - 3 
C)  3 x + 3 
D)  3 x - 3 
E)  none of these 
A)  x + 3 
B)  x - 3 
C)  3 x + 3 
D)  3 x - 3 
E)  none of these

Question 18

Use exponents to express the algebraic expression below in a more compact form. $- 11 \cdot 4 \cdot a \cdot z \cdot z \cdot v \cdot a \cdot z$

Accepted Answer

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

Question 19

Evaluate. 0.38 + 0.33

Accepted Answer

The answer of Evaluate. 0.38 + 0.33...

Question 20

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 5 } { 6 } \right) \left( \frac { 3 } { 5 } \right) \div \left( - \frac { 3 } { 2 } \right)$

Accepted Answer

A)  $- \frac { 1 } { 6 }$ 
B)  $3$ 
C)  $- \frac { 1 } { 3 }$ 
D)  $\frac { 1 } { 6 }$ 
E)  $\frac { 1 } { 3 }$ 
A)  $- \frac { 1 } { 6 }$ 
B)  $3$ 
C)  $- \frac { 1 } { 3 }$ 
D)  $\frac { 1 } { 6 }$ 
E)  $\frac { 1 } { 3 }$

Answer the question with an algebraic expression. Janet is y years old. How old will she be in 6 years?

A certain recipe calls for $\frac { 1 } { 8 }$ cup of sugar. To make one-half of the recipe, how much sugar is needed?

Evaluate the algebraic expression for the given values of the variables. $12 y ^ { 2 } - 2 k ^ { 2 }$ for $y = \frac { 2 } { 3 } \text { and } k = \frac { 3 } { 2 }$ .

Subtract the fractions below, and express the answer in its lowest terms. $\frac { 8 } { 7 } - \frac { 7 } { 7 }$

Simplify the algebraic expression by combining similar terms. $\frac { 2 } { 7 } x + \frac { 1 } { 4 } y + \frac { 1 } { 3 } x + \frac { 7 } { 8 } y$

Divide the fractions below, and express the answer in reduced form. $\frac { 4 } { 5 } \div \frac { 3 } { 2 }$

Reduce the fraction below to lowest terms. $\frac { 10 c } { 16 c }$

Blake Scott leaves $\frac { 2 } { 5 }$ of his estate to the Boy Scouts, $\frac { 1 } { 7 }$ to the local cancer fund, and the rest to his church. What fractional part of the estate does the church receive?

Find the value of the numerical expression below. $( 0.2 ) ^ { 2 }$

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 8 } { 9 } \right) \div \left( \frac { 7 } { 9 } \right) \left( - \frac { 21 } { 8 } \right)$

Subtract the fractions below, and express the answer in its lowest terms. $\frac { 4 } { 7 } - \frac { 1 } { 7 }$

Evaluate. $- 0.074 \div ( - 0.2 )$

Evaluate algebraic expression below for the given values of the variables. $2 x ^ { 2 } - 5 k x$ if x = 0.4 and k = 0.2

Add the following fractions, and express the answer in lowest terms. $\frac { 4 } { 13 z } + \frac { 4 } { 13 z }$

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 9 } { 4 } \left( \frac { 7 } { 3 } - \frac { 1 } { 6 } \right)$

Add the fractions below, and express the answer in its lowest terms. $\frac { 8 } { 52 } + \frac { 12 } { 52 }$

Answer the question with an algebraic expression. Willie is x years old and his father is 3 years less than twice Willie's age. What represents the sum of their ages?

Use exponents to express the algebraic expression below in a more compact form. $- 11 \cdot 4 \cdot a \cdot z \cdot z \cdot v \cdot a \cdot z$

Evaluate. 0.38 + 0.33

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 5 } { 6 } \right) \left( \frac { 3 } { 5 } \right) \div \left( - \frac { 3 } { 2 } \right)$

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

Answer the question with an algebraic expression. Janet is y years old. How old will she be in 6 years?

A certain recipe calls for 18\frac { 1 } { 8 }81​ cup of sugar. To make one-half of the recipe, how much sugar is needed?

Evaluate the algebraic expression for the given values of the variables. 12y2−2k212 y ^ { 2 } - 2 k ^ { 2 }12y2−2k2 for y=23 and k=32y = \frac { 2 } { 3 } \text { and } k = \frac { 3 } { 2 }y=32​ and k=23​ .

Subtract the fractions below, and express the answer in its lowest terms. 87−77\frac { 8 } { 7 } - \frac { 7 } { 7 }78​−77​

Simplify the algebraic expression by combining similar terms. 27x+14y+13x+78y\frac { 2 } { 7 } x + \frac { 1 } { 4 } y + \frac { 1 } { 3 } x + \frac { 7 } { 8 } y72​x+41​y+31​x+87​y

Divide the fractions below, and express the answer in reduced form. 45÷32\frac { 4 } { 5 } \div \frac { 3 } { 2 }54​÷23​

Reduce the fraction below to lowest terms. 10c16c\frac { 10 c } { 16 c }16c10c​

Blake Scott leaves 25\frac { 2 } { 5 }52​ of his estate to the Boy Scouts, 17\frac { 1 } { 7 }71​ to the local cancer fund, and the rest to his church. What fractional part of the estate does the church receive?

Find the value of the numerical expression below. (0.2)2( 0.2 ) ^ { 2 }(0.2)2

Perform the operations as indicated, and express your answer in lowest terms. (−89)÷(79)(−218)\left( - \frac { 8 } { 9 } \right) \div \left( \frac { 7 } { 9 } \right) \left( - \frac { 21 } { 8 } \right)(−98​)÷(97​)(−821​)

Subtract the fractions below, and express the answer in its lowest terms. 47−17\frac { 4 } { 7 } - \frac { 1 } { 7 }74​−71​

Evaluate. −0.074÷(−0.2)- 0.074 \div ( - 0.2 )−0.074÷(−0.2)

Evaluate algebraic expression below for the given values of the variables. 2x2−5kx2 x ^ { 2 } - 5 k x2x2−5kx if x = 0.4 and k = 0.2

Add the following fractions, and express the answer in lowest terms. 413z+413z\frac { 4 } { 13 z } + \frac { 4 } { 13 z }13z4​+13z4​

Simplify the numerical expression below, expressing the answer in its reduced form. 94(73−16)\frac { 9 } { 4 } \left( \frac { 7 } { 3 } - \frac { 1 } { 6 } \right)49​(37​−61​)

Add the fractions below, and express the answer in its lowest terms. 852+1252\frac { 8 } { 52 } + \frac { 12 } { 52 }528​+5212​

Answer the question with an algebraic expression. Willie is x years old and his father is 3 years less than twice Willie's age. What represents the sum of their ages?

Use exponents to express the algebraic expression below in a more compact form. −11⋅4⋅a⋅z⋅z⋅v⋅a⋅z- 11 \cdot 4 \cdot a \cdot z \cdot z \cdot v \cdot a \cdot z−11⋅4⋅a⋅z⋅z⋅v⋅a⋅z

Evaluate. 0.38 + 0.33

Perform the operations as indicated, and express your answer in lowest terms. (−56)(35)÷(−32)\left( - \frac { 5 } { 6 } \right) \left( \frac { 3 } { 5 } \right) \div \left( - \frac { 3 } { 2 } \right)(−65​)(53​)÷(−23​)

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

A certain recipe calls for $\frac { 1 } { 8 }$ cup of sugar. To make one-half of the recipe, how much sugar is needed?

Evaluate the algebraic expression for the given values of the variables. $12 y ^ { 2 } - 2 k ^ { 2 }$ for $y = \frac { 2 } { 3 } \text { and } k = \frac { 3 } { 2 }$ .

Subtract the fractions below, and express the answer in its lowest terms. $\frac { 8 } { 7 } - \frac { 7 } { 7 }$

Simplify the algebraic expression by combining similar terms. $\frac { 2 } { 7 } x + \frac { 1 } { 4 } y + \frac { 1 } { 3 } x + \frac { 7 } { 8 } y$

Divide the fractions below, and express the answer in reduced form. $\frac { 4 } { 5 } \div \frac { 3 } { 2 }$

Reduce the fraction below to lowest terms. $\frac { 10 c } { 16 c }$

Blake Scott leaves $\frac { 2 } { 5 }$ of his estate to the Boy Scouts, $\frac { 1 } { 7 }$ to the local cancer fund, and the rest to his church. What fractional part of the estate does the church receive?

Find the value of the numerical expression below. $( 0.2 ) ^ { 2 }$

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 8 } { 9 } \right) \div \left( \frac { 7 } { 9 } \right) \left( - \frac { 21 } { 8 } \right)$

Subtract the fractions below, and express the answer in its lowest terms. $\frac { 4 } { 7 } - \frac { 1 } { 7 }$

Evaluate. $- 0.074 \div ( - 0.2 )$

Evaluate algebraic expression below for the given values of the variables. $2 x ^ { 2 } - 5 k x$ if x = 0.4 and k = 0.2

Add the following fractions, and express the answer in lowest terms. $\frac { 4 } { 13 z } + \frac { 4 } { 13 z }$

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 9 } { 4 } \left( \frac { 7 } { 3 } - \frac { 1 } { 6 } \right)$

Add the fractions below, and express the answer in its lowest terms. $\frac { 8 } { 52 } + \frac { 12 } { 52 }$

Use exponents to express the algebraic expression below in a more compact form. $- 11 \cdot 4 \cdot a \cdot z \cdot z \cdot v \cdot a \cdot z$

Perform the operations as indicated, and express your answer in lowest terms. $\left( - \frac { 5 } { 6 } \right) \left( \frac { 3 } { 5 } \right) \div \left( - \frac { 3 } { 2 } \right)$