Question 1

Simplify the algebraic expression by combining similar terms. x - 0.4 x - 1.9 x

Accepted Answer

A)  -1.7 x 
B)  -1.2 x 
C)  -1 x 
D)  -1.3 x 
E)  -1.5 x 
A)  -1.7 x 
B)  -1.2 x 
C)  -1 x 
D)  -1.3 x 
E)  -1.5 x

Question 2

Evaluate algebraic expression below for the given values of the variables. $4 q ^ { 2 } - 4 m q$ if q = 0.6 and m = 0.8

Accepted Answer

A)  -0.48 
B)  0.53 
C)  -0.36 
D)  -0.52 
A)  -0.48 
B)  0.53 
C)  -0.36 
D)  -0.52

Question 3

Multiply the fractions below, and express the answer in reduced form. $\frac { 8 b } { 12 y } \cdot \frac { 15 y } { 55 b }$

Accepted Answer

A)  $\frac { 2 } { 11 }$ 
B)  $\frac { 22 } { 11 }$ 
C)  $\frac { 2 } { 22 }$ 
D)  none of these 
A)  $\frac { 2 } { 11 }$ 
B)  $\frac { 22 } { 11 }$ 
C)  $\frac { 2 } { 22 }$ 
D)  none of these

Question 4

Equivalent fractions are fractions that have the same denominator.

Accepted Answer

A) True 
 B)False

Question 5

Add as indicated, and express your answer in lowest terms. $8 + \frac { 4 } { x }$

Accepted Answer

A)  $\frac { 8 x + 4 } { x }$ 
B)  $12 x$ 
C)  $\frac { 8 + 4 x } { x }$ 
D)  $8 x + 4$ 
E)  $\frac { 12 } { x }$ 
A)  $\frac { 8 x + 4 } { x }$ 
B)  $12 x$ 
C)  $\frac { 8 + 4 x } { x }$ 
D)  $8 x + 4$ 
E)  $\frac { 12 } { x }$

Question 6

Find the value of the numerical expression below. $3 ^ { 6 }$

Accepted Answer

A)  739 
B)  720 
C)  724 
D)  729 
E)  752 
A)  739 
B)  720 
C)  724 
D)  729 
E)  752

Question 7

Answer the question with an algebraic expression. The sum of two numbers is 86 and one of the numbers is x . What is the other number?

Accepted Answer

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

Question 8

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 12 } { 5 } \left( \frac { 9 } { 2 } - \frac { 14 } { 20 } \right)$

Accepted Answer

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

Question 9

Perform the indicated operations below, and express the answer in its reduced form. $\left( \frac { 10 t ^ { 3 } } { 3 n } \right) \left( \frac { 12 n } { 110 t } \right)$

Accepted Answer

A)  $\frac { 4 t ^ { 4 } } { 11 n ^ { 2 } }$ 
B)  $\frac { 11 t ^ { 2 } } { 4 }$ 
C)  $\frac { 1,100 t ^ { 2 } } { 36 }$ 
D)  $\frac { 4 t ^ { 2 } } { 11 }$ 
A)  $\frac { 4 t ^ { 4 } } { 11 n ^ { 2 } }$ 
B)  $\frac { 11 t ^ { 2 } } { 4 }$ 
C)  $\frac { 1,100 t ^ { 2 } } { 36 }$ 
D)  $\frac { 4 t ^ { 2 } } { 11 }$

Question 10

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

Accepted Answer

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

Question 11

Match the word phrase with the corresponding algebraic expression.
-$3 y + 2$

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 12

Answer the question with an algebraic expression. Sue can type k words per minute. How many words can she type in 4 hours?

Accepted Answer

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

Question 13

Multiply the fractions below, and express the answer in reduced form. $\frac { 4 c } { 8 z } \cdot \frac { 6 z } { 33 c }$

Accepted Answer

A)  $\frac { 2 } { 11 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 22 }$ 
D)  $\frac { 1 } { 11 }$ 
E)  none of these 
A)  $\frac { 2 } { 11 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 22 }$ 
D)  $\frac { 1 } { 11 }$ 
E)  none of these

Question 14

The total length of the four sides of a square is 25.2 centimeters. How long is each side of the square? __________ centimeters

Accepted Answer

The answer of The total length of the four sides...

Question 15

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 63 } { 2 } \left( \frac { 7 } { 9 } - \frac { 1 } { 18 } \right)$

Accepted Answer

A)  $\frac { 13 } { 4 }$ 
B)  $\frac { 91 } { 4 }$ 
C)  $\frac { 98 } { 2 }$ 
D)  none of these 
A)  $\frac { 13 } { 4 }$ 
B)  $\frac { 91 } { 4 }$ 
C)  $\frac { 98 } { 2 }$ 
D)  none of these

Question 16

Reduce the fraction below to lowest terms. $\frac { 20 b x } { 128 b }$

Accepted Answer

A)  $\frac { 5 x } { 32 }$ 
B)  $\frac { 5 x } { 64 }$ 
C)  $\frac { 15 x } { 64 }$ 
D)  $\frac { 5 } { 32 }$ 
E)  none of these 
A)  $\frac { 5 x } { 32 }$ 
B)  $\frac { 5 x } { 64 }$ 
C)  $\frac { 15 x } { 64 }$ 
D)  $\frac { 5 } { 32 }$ 
E)  none of these

Question 17

Answer the question with an algebraic expression. Donna had d dimes and q quarters in her bank. How much money, in cents, does she have?

Accepted Answer

A)  $25 d + 10 q$ 
B)  $10 d + 25 q$ 
C)  $15 d + 15 q$ 
D)  $d + q$ 
E)  none of these 
A)  $25 d + 10 q$ 
B)  $10 d + 25 q$ 
C)  $15 d + 15 q$ 
D)  $d + q$ 
E)  none of these

Question 18

Simplify the numerical expression. 0.87(0.8 + 0.2)

Accepted Answer

A)  0.87 
B)  0.91 
C)  0.89 
D)  0.84 
E)  0.86 
A)  0.87 
B)  0.91 
C)  0.89 
D)  0.84 
E)  0.86

Question 19

Perform the indicated operations below, and express the answer in its reduced form. $\left( \frac { 2 x ^ { 3 } } { 3 w } \right) \left( \frac { 24 w } { 22 x } \right)$

Accepted Answer

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

Question 20

Blake Scott leaves $\frac { 1 } { 6 }$ of his estate to the Boy Scouts, $\frac { 2 } { 7 }$ to the local cancer fund, and the rest to his church. What fractional part of the estate does the church receive?

Accepted Answer

The answer of Blake Scott leaves \(\frac { 1 }...

Simplify the algebraic expression by combining similar terms. x - 0.4 x - 1.9 x

Evaluate algebraic expression below for the given values of the variables. $4 q ^ { 2 } - 4 m q$ if q = 0.6 and m = 0.8

Multiply the fractions below, and express the answer in reduced form. $\frac { 8 b } { 12 y } \cdot \frac { 15 y } { 55 b }$

Equivalent fractions are fractions that have the same denominator.

Add as indicated, and express your answer in lowest terms. $8 + \frac { 4 } { x }$

Find the value of the numerical expression below. $3 ^ { 6 }$

Answer the question with an algebraic expression. The sum of two numbers is 86 and one of the numbers is x . What is the other number?

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 12 } { 5 } \left( \frac { 9 } { 2 } - \frac { 14 } { 20 } \right)$

Perform the indicated operations below, and express the answer in its reduced form. $\left( \frac { 10 t ^ { 3 } } { 3 n } \right) \left( \frac { 12 n } { 110 t } \right)$

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

Match the word phrase with the corresponding algebraic expression. - $3 y + 2$

Answer the question with an algebraic expression. Sue can type k words per minute. How many words can she type in 4 hours?

Multiply the fractions below, and express the answer in reduced form. $\frac { 4 c } { 8 z } \cdot \frac { 6 z } { 33 c }$

The total length of the four sides of a square is 25.2 centimeters. How long is each side of the square? __________ centimeters

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 63 } { 2 } \left( \frac { 7 } { 9 } - \frac { 1 } { 18 } \right)$

Reduce the fraction below to lowest terms. $\frac { 20 b x } { 128 b }$

Answer the question with an algebraic expression. Donna had d dimes and q quarters in her bank. How much money, in cents, does she have?

Simplify the numerical expression. 0.87(0.8 + 0.2)

Perform the indicated operations below, and express the answer in its reduced form. $\left( \frac { 2 x ^ { 3 } } { 3 w } \right) \left( \frac { 24 w } { 22 x } \right)$

Blake Scott leaves $\frac { 1 } { 6 }$ of his estate to the Boy Scouts, $\frac { 2 } { 7 }$ to the local cancer fund, and the rest to his church. What fractional part of the estate does the church receive?

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

Simplify the algebraic expression by combining similar terms. x - 0.4 x - 1.9 x

Evaluate algebraic expression below for the given values of the variables. 4q2−4mq4 q ^ { 2 } - 4 m q4q2−4mq if q = 0.6 and m = 0.8

Multiply the fractions below, and express the answer in reduced form. 8b12y⋅15y55b\frac { 8 b } { 12 y } \cdot \frac { 15 y } { 55 b }12y8b​⋅55b15y​

Equivalent fractions are fractions that have the same denominator.

Add as indicated, and express your answer in lowest terms. 8+4x8 + \frac { 4 } { x }8+x4​

Find the value of the numerical expression below. 363 ^ { 6 }36

Answer the question with an algebraic expression. The sum of two numbers is 86 and one of the numbers is x . What is the other number?

Simplify the numerical expression below, expressing the answer in its reduced form. 125(92−1420)\frac { 12 } { 5 } \left( \frac { 9 } { 2 } - \frac { 14 } { 20 } \right)512​(29​−2014​)

Perform the indicated operations below, and express the answer in its reduced form. (10t33n)(12n110t)\left( \frac { 10 t ^ { 3 } } { 3 n } \right) \left( \frac { 12 n } { 110 t } \right)(3n10t3​)(110t12n​)

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

Match the word phrase with the corresponding algebraic expression. - 3y+23 y + 23y+2

Answer the question with an algebraic expression. Sue can type k words per minute. How many words can she type in 4 hours?

Multiply the fractions below, and express the answer in reduced form. 4c8z⋅6z33c\frac { 4 c } { 8 z } \cdot \frac { 6 z } { 33 c }8z4c​⋅33c6z​

The total length of the four sides of a square is 25.2 centimeters. How long is each side of the square? __________ centimeters

Simplify the numerical expression below, expressing the answer in its reduced form. 632(79−118)\frac { 63 } { 2 } \left( \frac { 7 } { 9 } - \frac { 1 } { 18 } \right)263​(97​−181​)

Reduce the fraction below to lowest terms. 20bx128b\frac { 20 b x } { 128 b }128b20bx​

Answer the question with an algebraic expression. Donna had d dimes and q quarters in her bank. How much money, in cents, does she have?

Simplify the numerical expression. 0.87(0.8 + 0.2)

Perform the indicated operations below, and express the answer in its reduced form. (2x33w)(24w22x)\left( \frac { 2 x ^ { 3 } } { 3 w } \right) \left( \frac { 24 w } { 22 x } \right)(3w2x3​)(22x24w​)

Blake Scott leaves 16\frac { 1 } { 6 }61​ of his estate to the Boy Scouts, 27\frac { 2 } { 7 }72​ to the local cancer fund, and the rest to his church. What fractional part of the estate does the church receive?

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 algebraic expression below for the given values of the variables. $4 q ^ { 2 } - 4 m q$ if q = 0.6 and m = 0.8

Multiply the fractions below, and express the answer in reduced form. $\frac { 8 b } { 12 y } \cdot \frac { 15 y } { 55 b }$

Add as indicated, and express your answer in lowest terms. $8 + \frac { 4 } { x }$

Find the value of the numerical expression below. $3 ^ { 6 }$

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 12 } { 5 } \left( \frac { 9 } { 2 } - \frac { 14 } { 20 } \right)$

Perform the indicated operations below, and express the answer in its reduced form. $\left( \frac { 10 t ^ { 3 } } { 3 n } \right) \left( \frac { 12 n } { 110 t } \right)$

Match the word phrase with the corresponding algebraic expression. - $3 y + 2$

Multiply the fractions below, and express the answer in reduced form. $\frac { 4 c } { 8 z } \cdot \frac { 6 z } { 33 c }$

Simplify the numerical expression below, expressing the answer in its reduced form. $\frac { 63 } { 2 } \left( \frac { 7 } { 9 } - \frac { 1 } { 18 } \right)$

Reduce the fraction below to lowest terms. $\frac { 20 b x } { 128 b }$

Perform the indicated operations below, and express the answer in its reduced form. $\left( \frac { 2 x ^ { 3 } } { 3 w } \right) \left( \frac { 24 w } { 22 x } \right)$

Blake Scott leaves $\frac { 1 } { 6 }$ of his estate to the Boy Scouts, $\frac { 2 } { 7 }$ to the local cancer fund, and the rest to his church. What fractional part of the estate does the church receive?