Question 1

Perform the indicated operations, and express your answer in reduced form. $\frac { 5 } { x } - \frac { 7 } { y } - \frac { 4 } { x y }$

Accepted Answer

A)  $\frac { 5 y - 7 x - 4 } { x y }$ 
B)  $\frac { 5 y - 7 x + 4 } { x y }$ 
C)  $\frac { 5 x - 7 y - 4 } { x y }$ 
D)  $\frac { 4 y - 7 x - 5 } { x y }$ 
E)  $\frac { 5 y - 4 x - 7 } { x y }$ 
A)  $\frac { 5 y - 7 x - 4 } { x y }$ 
B)  $\frac { 5 y - 7 x + 4 } { x y }$ 
C)  $\frac { 5 x - 7 y - 4 } { x y }$ 
D)  $\frac { 4 y - 7 x - 5 } { x y }$ 
E)  $\frac { 5 y - 4 x - 7 } { x y }$

Question 2

Add as indicated, and express your answer in lowest terms. $\frac { 4 } { 3 y } + \frac { 5 } { 4 y }$

Accepted Answer

A)  $\frac { 31 y } { 12 }$ 
B)  $\frac { 31 } { 12 y }$ 
C)  $\frac { 12 } { 31 y }$ 
D)  $\frac { 12 y } { 31 }$ 
E)  $\frac { 31 } { 12 }$ 
A)  $\frac { 31 y } { 12 }$ 
B)  $\frac { 31 } { 12 y }$ 
C)  $\frac { 12 } { 31 y }$ 
D)  $\frac { 12 y } { 31 }$ 
E)  $\frac { 31 } { 12 }$

Question 3

Rational numbers, integers, and nonintegers form the set of real numbers.

Accepted Answer

A) True 
 B)False

Question 4

Evaluate. 7.4 - (-2.1)

Accepted Answer

The answer of Evaluate. 7.4 - (-2.1)...

Question 5

A rational number can be defined as any number that has a terminating or nonrepeating decimal representation.

Accepted Answer

A) True 
 B)False

Question 6

Simplify the numerical expression below. $- 4 ( - 3 ) ^ { 2 } - 12 ( - 2 ) ^ { 5 } - 13 ( - 5 ) ^ { 4 }$

Accepted Answer

The answer of Simplify the numerical expression below. \(- 4...

Question 7

Caitlin has a rope that is $20 \frac { 1 } { 2 }$ feet long. If he cuts off a piece $2 \frac { 3 } { 4 }$ feet long, how long is the remaining piece of rope? __________ feet

Accepted Answer

The answer of Caitlin has a rope that is \(20...

Question 8

Find the value of the numerical expression below. $( - 6 ) ^ { 4 }$

Accepted Answer

A)  1,296 
B)  1,308 
C)  1,304 
D)  -1,305 
E)  -1,296 
A)  1,296 
B)  1,308 
C)  1,304 
D)  -1,305 
E)  -1,296

Question 9

Evaluate the algebraic expression for the given values of the variables. $x + 2 y + 3 z$ for $x = \frac { 3 } { 4 } , y = \frac { 1 } { 3 } \text {, and } z = - \frac { 1 } { 6 }$ .

Accepted Answer

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

Question 10

Simplify the expression below by combining similar terms. $10 q ^ { 8 } - 2 q ^ { 9 } + 13 q ^ { 8 } + 5 q ^ { 10 } + 4 q ^ { 9 } + 8 q ^ { 10 }$

Accepted Answer

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

Question 11

Translate the word phrase into an algebraic expression. the quantity, x minus y , divided by 9

Accepted Answer

The answer of Translate the word phrase into an algebraic...

Question 12

Simplify the algebraic expression by combining similar terms. 4.8 x - 9.6 y - 7.4 x + 12.1 y

Accepted Answer

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

Question 13

Add as indicated, and express your answer in lowest terms. $\frac { 6 } { 5 y } + \frac { 7 } { 3 y }$

Accepted Answer

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

Question 14

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

Accepted Answer

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

Question 15

Evaluate. 2.3 - (-1.6)

Accepted Answer

A)  2.7 
B)  1.6 
C)  3.5 
D)  3.9 
E)  3.8 
A)  2.7 
B)  1.6 
C)  3.5 
D)  3.9 
E)  3.8

Question 16

Perform the indicated operations below, and express the answer in its reduced form. $\left( \frac { 20 c } { t ^ { 2 } k ^ { 2 } } \right) \div \left( \frac { 35 c } { t k } \right)$

Accepted Answer

A)  $\frac { 4 c ^ { 2 } } { 7 t k }$ 
B)  $\frac { 7 t k } { 4 }$ 
C)  $\frac { 4 } { 7 t k }$ 
D)  $\frac { 7 } { 4 t k }$ 
A)  $\frac { 4 c ^ { 2 } } { 7 t k }$ 
B)  $\frac { 7 t k } { 4 }$ 
C)  $\frac { 4 } { 7 t k }$ 
D)  $\frac { 7 } { 4 t k }$

Question 17

Nonrepeating decimals are called irrational numbers.

Accepted Answer

A) True 
 B)False

Question 18

Translate the word phrase into an algebraic expression. Six larger than the product of x and y .

Accepted Answer

A)  xy + 6 
B)  (6 + x ) y 
C)  6 xy 
D)  (6 + y ) x 
E)  none of these 
A)  xy + 6 
B)  (6 + x ) y 
C)  6 xy 
D)  (6 + y ) x 
E)  none of these

Question 19

Multiply the numbers below, and express the answer in reduced form. $\frac { 2 } { 5 } \cdot \frac { 32 } { 13 }$

Accepted Answer

A)  $\frac { 64 } { 65 }$ 
B)  $\frac { 64 } { 5 }$ 
C)  $\frac { 2 } { 65 }$ 
D)  none of these 
A)  $\frac { 64 } { 65 }$ 
B)  $\frac { 64 } { 5 }$ 
C)  $\frac { 2 } { 65 }$ 
D)  none of these

Question 20

Evaluate. $- 0.044 \div ( - 0.2 )$

Accepted Answer

A)  0.22 
B)  0.25 
C)  0.23 
D)  0.26 
E)  0.24 
A)  0.22 
B)  0.25 
C)  0.23 
D)  0.26 
E)  0.24

Perform the indicated operations, and express your answer in reduced form. $\frac { 5 } { x } - \frac { 7 } { y } - \frac { 4 } { x y }$

Add as indicated, and express your answer in lowest terms. $\frac { 4 } { 3 y } + \frac { 5 } { 4 y }$

Rational numbers, integers, and nonintegers form the set of real numbers.

Evaluate. 7.4 - (-2.1)

A rational number can be defined as any number that has a terminating or nonrepeating decimal representation.

Simplify the numerical expression below. $- 4 ( - 3 ) ^ { 2 } - 12 ( - 2 ) ^ { 5 } - 13 ( - 5 ) ^ { 4 }$

Caitlin has a rope that is $20 \frac { 1 } { 2 }$ feet long. If he cuts off a piece $2 \frac { 3 } { 4 }$ feet long, how long is the remaining piece of rope? __________ feet

Find the value of the numerical expression below. $( - 6 ) ^ { 4 }$

Evaluate the algebraic expression for the given values of the variables. $x + 2 y + 3 z$ for $x = \frac { 3 } { 4 } , y = \frac { 1 } { 3 } \text {, and } z = - \frac { 1 } { 6 }$ .

Simplify the expression below by combining similar terms. $10 q ^ { 8 } - 2 q ^ { 9 } + 13 q ^ { 8 } + 5 q ^ { 10 } + 4 q ^ { 9 } + 8 q ^ { 10 }$

Translate the word phrase into an algebraic expression. the quantity, x minus y , divided by 9

Simplify the algebraic expression by combining similar terms. 4.8 x - 9.6 y - 7.4 x + 12.1 y

Add as indicated, and express your answer in lowest terms. $\frac { 6 } { 5 y } + \frac { 7 } { 3 y }$

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

Evaluate. 2.3 - (-1.6)

Perform the indicated operations below, and express the answer in its reduced form. $\left( \frac { 20 c } { t ^ { 2 } k ^ { 2 } } \right) \div \left( \frac { 35 c } { t k } \right)$

Nonrepeating decimals are called irrational numbers.

Translate the word phrase into an algebraic expression. Six larger than the product of x and y .

Multiply the numbers below, and express the answer in reduced form. $\frac { 2 } { 5 } \cdot \frac { 32 } { 13 }$

Evaluate. $- 0.044 \div ( - 0.2 )$

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

Perform the indicated operations, and express your answer in reduced form. 5x−7y−4xy\frac { 5 } { x } - \frac { 7 } { y } - \frac { 4 } { x y }x5​−y7​−xy4​

Add as indicated, and express your answer in lowest terms. 43y+54y\frac { 4 } { 3 y } + \frac { 5 } { 4 y }3y4​+4y5​

Rational numbers, integers, and nonintegers form the set of real numbers.

Evaluate. 7.4 - (-2.1)

A rational number can be defined as any number that has a terminating or nonrepeating decimal representation.

Simplify the numerical expression below. −4(−3)2−12(−2)5−13(−5)4- 4 ( - 3 ) ^ { 2 } - 12 ( - 2 ) ^ { 5 } - 13 ( - 5 ) ^ { 4 }−4(−3)2−12(−2)5−13(−5)4

Caitlin has a rope that is 201220 \frac { 1 } { 2 }2021​ feet long. If he cuts off a piece 2342 \frac { 3 } { 4 }243​ feet long, how long is the remaining piece of rope? __________ feet

Find the value of the numerical expression below. (−6)4( - 6 ) ^ { 4 }(−6)4

Evaluate the algebraic expression for the given values of the variables. x+2y+3zx + 2 y + 3 zx+2y+3z for x=34,y=13, and z=−16x = \frac { 3 } { 4 } , y = \frac { 1 } { 3 } \text {, and } z = - \frac { 1 } { 6 }x=43​,y=31​, and z=−61​ .

Simplify the expression below by combining similar terms. 10q8−2q9+13q8+5q10+4q9+8q1010 q ^ { 8 } - 2 q ^ { 9 } + 13 q ^ { 8 } + 5 q ^ { 10 } + 4 q ^ { 9 } + 8 q ^ { 10 }10q8−2q9+13q8+5q10+4q9+8q10

Translate the word phrase into an algebraic expression. the quantity, x minus y , divided by 9

Simplify the algebraic expression by combining similar terms. 4.8 x - 9.6 y - 7.4 x + 12.1 y

Add as indicated, and express your answer in lowest terms. 65y+73y\frac { 6 } { 5 y } + \frac { 7 } { 3 y }5y6​+3y7​

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

Evaluate. 2.3 - (-1.6)

Perform the indicated operations below, and express the answer in its reduced form. (20ct2k2)÷(35ctk)\left( \frac { 20 c } { t ^ { 2 } k ^ { 2 } } \right) \div \left( \frac { 35 c } { t k } \right)(t2k220c​)÷(tk35c​)

Nonrepeating decimals are called irrational numbers.

Translate the word phrase into an algebraic expression. Six larger than the product of x and y .

Multiply the numbers below, and express the answer in reduced form. 25⋅3213\frac { 2 } { 5 } \cdot \frac { 32 } { 13 }52​⋅1332​

Evaluate. −0.044÷(−0.2)- 0.044 \div ( - 0.2 )−0.044÷(−0.2)

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

Perform the indicated operations, and express your answer in reduced form. $\frac { 5 } { x } - \frac { 7 } { y } - \frac { 4 } { x y }$

Add as indicated, and express your answer in lowest terms. $\frac { 4 } { 3 y } + \frac { 5 } { 4 y }$

Simplify the numerical expression below. $- 4 ( - 3 ) ^ { 2 } - 12 ( - 2 ) ^ { 5 } - 13 ( - 5 ) ^ { 4 }$

Caitlin has a rope that is $20 \frac { 1 } { 2 }$ feet long. If he cuts off a piece $2 \frac { 3 } { 4 }$ feet long, how long is the remaining piece of rope? __________ feet

Find the value of the numerical expression below. $( - 6 ) ^ { 4 }$

Evaluate the algebraic expression for the given values of the variables. $x + 2 y + 3 z$ for $x = \frac { 3 } { 4 } , y = \frac { 1 } { 3 } \text {, and } z = - \frac { 1 } { 6 }$ .

Simplify the expression below by combining similar terms. $10 q ^ { 8 } - 2 q ^ { 9 } + 13 q ^ { 8 } + 5 q ^ { 10 } + 4 q ^ { 9 } + 8 q ^ { 10 }$

Add as indicated, and express your answer in lowest terms. $\frac { 6 } { 5 y } + \frac { 7 } { 3 y }$

Perform the indicated operations below, and express the answer in its reduced form. $\left( \frac { 20 c } { t ^ { 2 } k ^ { 2 } } \right) \div \left( \frac { 35 c } { t k } \right)$

Multiply the numbers below, and express the answer in reduced form. $\frac { 2 } { 5 } \cdot \frac { 32 } { 13 }$

Evaluate. $- 0.044 \div ( - 0.2 )$