Question 1

Evaluate. -2.5 + 14.9

Accepted Answer

A)  11.2 
B)  15.8 
C)  10.1 
D)  12.5 
E)  12.4 
A)  11.2 
B)  15.8 
C)  10.1 
D)  12.5 
E)  12.4

Question 2

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

Accepted Answer

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

Question 3

Evaluate the algebraic expression for the given values of the variables. $0.8 x + 0.7 y$ for $x = - 2 \text { and } y = 4$

Accepted Answer

A)  1.6 
B)  1.3 
C)  1.4 
D)  0.9 
E)  1.2 
A)  1.6 
B)  1.3 
C)  1.4 
D)  0.9 
E)  1.2

Question 4

Classify the real number by tracing down the diagram. $\frac { 3 } { 8 }$   __________ __________ __________

Accepted Answer

The answer of Classify the real number by tracing down...

Question 5

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

Accepted Answer

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

Question 6

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

Accepted Answer

A)  $\frac { 35 } { 12 }$ 
B)  $\frac { 12 y } { 35 }$ 
C)  $\frac { 35 } { 12 y }$ 
D)  $\frac { 35 y } { 12 }$ 
E)  $\frac { 12 } { 35 y }$ 
A)  $\frac { 35 } { 12 }$ 
B)  $\frac { 12 y } { 35 }$ 
C)  $\frac { 35 } { 12 y }$ 
D)  $\frac { 35 y } { 12 }$ 
E)  $\frac { 12 } { 35 y }$

Question 7

Reduce the fraction below to its simplest form. $\frac { 12 x ^ { 4 } m ^ { 11 } } { 54 m ^ { 5 } x ^ { 9 } }$

Accepted Answer

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

Question 8

Simplify the numerical expression. 18.2 + 22.4 - 16.2

Accepted Answer

The answer of Simplify the numerical expression. 18.2 + 22.4...

Question 9

In 2003 the average speed of the winner of a race was 133.45 miles per hour. In 2000 the average speed of the winner was 154.898 miles per hour. How much faster was the average speed of the winner in 2000 compared to the winner in 2003? __________ miles per hour

Accepted Answer

The answer of In 2003 the average speed of the...

Question 10

Find the value of the numerical expression. $\left( - \frac { 1 } { 4 } \right) ^ { 3 }$

Accepted Answer

A)  $- \frac { 1 } { 64 }$ 
B)  $- 12$ 
C)  $- \frac { 1 } { 12 }$ 
D)  $\frac { 1 } { 64 }$ 
E)  $- 64$ 
A)  $- \frac { 1 } { 64 }$ 
B)  $- 12$ 
C)  $- \frac { 1 } { 12 }$ 
D)  $\frac { 1 } { 64 }$ 
E)  $- 64$

Question 11

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

Accepted Answer

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

Question 12

Evaluate. (8.9) + (-2.5)

Accepted Answer

The answer of Evaluate. (8.9) + (-2.5)...

Question 13

Match the word phrase with the corresponding algebraic expression.
-$\frac { A } { w }$

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 14

Answer the question with an algebraic expression. The length of a rectangle is l inches and its width is 3 inches less than one-half of its length. What is the perimeter of the rectangle in inches?

Accepted Answer

A)  (3 l + 3) in. 
B)  ( l $-$ 3) in. 
C)  (3 l $-$ 3) in. 
D)  3 l $-$ 6 in. 
E)  ( l $-$ 6) in. 
A)  (3 l + 3) in. 
B)  ( l $-$ 3) in. 
C)  (3 l $-$ 3) in. 
D)  3 l $-$ 6 in. 
E)  ( l $-$ 6) in.

Question 15

Evaluate. (2)(-8.6)

Accepted Answer

The answer of Evaluate. (2)(-8.6)...

Question 16

Evaluate the algebraic expression for the given values of the variables. $x + 4 y + 3 z$ for $x = \frac { 3 } { 4 } , y = \frac { 1 } { 9 } , \text { and } z = - \frac { 1 } { 6 }$

Accepted Answer

A)  $\frac { 1 } { 25 }$ 
B)  $\frac { 25 } { 36 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $\frac { 13 } { 18 }$ 
E)  $\frac { 7 } { 9 }$ 
A)  $\frac { 1 } { 25 }$ 
B)  $\frac { 25 } { 36 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $\frac { 13 } { 18 }$ 
E)  $\frac { 7 } { 9 }$

Question 17

Add the fractions below, and express the answer in its lowest terms. $\frac { 10 } { 90 } + \frac { 1 } { 9 }$

Accepted Answer

A)  $\frac { 2 } { 1 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 9 } { 10 }$ 
D)  none of these 
A)  $\frac { 2 } { 1 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 9 } { 10 }$ 
D)  none of these

Question 18

Reduce the fraction below to the simplest form. $\frac { 21 t w } { 7 w }$

Accepted Answer

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

Question 19

If it takes $5 \frac { 1 } { 4 }$ yards of material to make drapes for one window, how much material is needed for 7 windows?

Accepted Answer

A)  $21 \frac { 3 } { 4 }$ yards 
B)  $39 \frac { 3 } { 4 }$ yards 
C)  $36 \frac { 3 } { 4 }$ yards 
D)  $12 \frac { 1 } { 4 }$ yards 
E)  $35 \frac { 1 } { 4 }$ yards 
A)  $21 \frac { 3 } { 4 }$ yards 
B)  $39 \frac { 3 } { 4 }$ yards 
C)  $36 \frac { 3 } { 4 }$ yards 
D)  $12 \frac { 1 } { 4 }$ yards 
E)  $35 \frac { 1 } { 4 }$ yards

Question 20

Reduce the fraction below to lowest terms. $\frac { 10 c } { 15 c }$

Accepted Answer

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

Evaluate. -2.5 + 14.9

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

Evaluate the algebraic expression for the given values of the variables. $0.8 x + 0.7 y$ for $x = - 2 \text { and } y = 4$

Classify the real number by tracing down the diagram. $\frac { 3 } { 8 }$ $Classify the real number by tracing down the diagram. \frac { 3 } { 8 } $

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

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

Reduce the fraction below to its simplest form. $\frac { 12 x ^ { 4 } m ^ { 11 } } { 54 m ^ { 5 } x ^ { 9 } }$

Simplify the numerical expression. 18.2 + 22.4 - 16.2

In 2003 the average speed of the winner of a race was 133.45 miles per hour. In 2000 the average speed of the winner was 154.898 miles per hour. How much faster was the average speed of the winner in 2000 compared to the winner in 2003? __________ miles per hour

Find the value of the numerical expression. $\left( - \frac { 1 } { 4 } \right) ^ { 3 }$

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

Evaluate. (8.9) + (-2.5)

Match the word phrase with the corresponding algebraic expression. - $\frac { A } { w }$

Answer the question with an algebraic expression. The length of a rectangle is l inches and its width is 3 inches less than one-half of its length. What is the perimeter of the rectangle in inches?

Evaluate. (2)(-8.6)

Evaluate the algebraic expression for the given values of the variables. $x + 4 y + 3 z$ for $x = \frac { 3 } { 4 } , y = \frac { 1 } { 9 } , \text { and } z = - \frac { 1 } { 6 }$

Add the fractions below, and express the answer in its lowest terms. $\frac { 10 } { 90 } + \frac { 1 } { 9 }$

Reduce the fraction below to the simplest form. $\frac { 21 t w } { 7 w }$

If it takes $5 \frac { 1 } { 4 }$ yards of material to make drapes for one window, how much material is needed for 7 windows?

Reduce the fraction below to lowest terms. $\frac { 10 c } { 15 c }$

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

Evaluate. -2.5 + 14.9

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

Evaluate the algebraic expression for the given values of the variables. 0.8x+0.7y0.8 x + 0.7 y0.8x+0.7y for x=−2 and y=4x = - 2 \text { and } y = 4x=−2 and y=4

Classify the real number by tracing down the diagram. 38\frac { 3 } { 8 }83​ __________ __________ __________

Add as indicated, and express your answer in lowest terms. 54y+53y\frac { 5 } { 4 y } + \frac { 5 } { 3 y }4y5​+3y5​

Add as indicated, and express your answer in lowest terms. 54y+53y\frac { 5 } { 4 y } + \frac { 5 } { 3 y }4y5​+3y5​

Reduce the fraction below to its simplest form. 12x4m1154m5x9\frac { 12 x ^ { 4 } m ^ { 11 } } { 54 m ^ { 5 } x ^ { 9 } }54m5x912x4m11​

Simplify the numerical expression. 18.2 + 22.4 - 16.2

In 2003 the average speed of the winner of a race was 133.45 miles per hour. In 2000 the average speed of the winner was 154.898 miles per hour. How much faster was the average speed of the winner in 2000 compared to the winner in 2003? __________ miles per hour

Find the value of the numerical expression. (−14)3\left( - \frac { 1 } { 4 } \right) ^ { 3 }(−41​)3

Simplify the algebraic expression by combining similar terms. 45xy−14xy+110xy\frac { 4 } { 5 } x y - \frac { 1 } { 4 } x y + \frac { 1 } { 10 } x y54​xy−41​xy+101​xy

Evaluate. (8.9) + (-2.5)

Match the word phrase with the corresponding algebraic expression. - Aw\frac { A } { w }wA​

Answer the question with an algebraic expression. The length of a rectangle is l inches and its width is 3 inches less than one-half of its length. What is the perimeter of the rectangle in inches?

Evaluate. (2)(-8.6)

Evaluate the algebraic expression for the given values of the variables. x+4y+3zx + 4 y + 3 zx+4y+3z for x=34,y=19, and z=−16x = \frac { 3 } { 4 } , y = \frac { 1 } { 9 } , \text { and } z = - \frac { 1 } { 6 }x=43​,y=91​, and z=−61​

Add the fractions below, and express the answer in its lowest terms. 1090+19\frac { 10 } { 90 } + \frac { 1 } { 9 }9010​+91​

Reduce the fraction below to the simplest form. 21tw7w\frac { 21 t w } { 7 w }7w21tw​

If it takes 5145 \frac { 1 } { 4 }541​ yards of material to make drapes for one window, how much material is needed for 7 windows?

Reduce the fraction below to lowest terms. 10c15c\frac { 10 c } { 15 c }15c10c​

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

Evaluate the algebraic expression for the given values of the variables. $0.8 x + 0.7 y$ for $x = - 2 \text { and } y = 4$

Classify the real number by tracing down the diagram. $\frac { 3 } { 8 }$ $Classify the real number by tracing down the diagram. \frac { 3 } { 8 } $

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

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

Reduce the fraction below to its simplest form. $\frac { 12 x ^ { 4 } m ^ { 11 } } { 54 m ^ { 5 } x ^ { 9 } }$

Find the value of the numerical expression. $\left( - \frac { 1 } { 4 } \right) ^ { 3 }$

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

Match the word phrase with the corresponding algebraic expression. - $\frac { A } { w }$

Evaluate the algebraic expression for the given values of the variables. $x + 4 y + 3 z$ for $x = \frac { 3 } { 4 } , y = \frac { 1 } { 9 } , \text { and } z = - \frac { 1 } { 6 }$

Add the fractions below, and express the answer in its lowest terms. $\frac { 10 } { 90 } + \frac { 1 } { 9 }$

Reduce the fraction below to the simplest form. $\frac { 21 t w } { 7 w }$

If it takes $5 \frac { 1 } { 4 }$ yards of material to make drapes for one window, how much material is needed for 7 windows?

Reduce the fraction below to lowest terms. $\frac { 10 c } { 15 c }$