Question 1

Divide the numbers below, and express the answer in reduced form. $\frac { 8 } { 11 } \div \frac { 13 } { 4 }$

Accepted Answer

The answer of Divide the numbers below, and express the...

Question 2

Evaluate algebraic expression below for the given values of the variables. $4 p ^ { 2 } - 3 n ^ { 2 }$ if p = 6 and n = 2

Accepted Answer

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

Question 3

Add the fractions below, and express the answer in its lowest terms. $\frac { 4 } { 44 y } + \frac { 32 } { 44 y }$

Accepted Answer

A)  $\frac { 1 } { 11 y }$ 
B)  $\frac { 9 } { 11 y }$ 
C)  $\frac { 8 } { 22 y }$ 
D)  none of these 
A)  $\frac { 1 } { 11 y }$ 
B)  $\frac { 9 } { 11 y }$ 
C)  $\frac { 8 } { 22 y }$ 
D)  none of these

Question 4

Prime factorization can be used to determine the least common denominator of two or more rational numbers.

Accepted Answer

A) True 
 B)False

Question 5

In 2003 the average speed of the winner of a race was 139.15 miles per hour. In 2000 the average speed of the winner was 153.751 miles per hour. How much faster was the average speed of the winner in 2000 compared to the winner in 2003?

Accepted Answer

A)  14.602 miles per hour 
B)  14.603 miles per hour 
C)  14.6 miles per hour 
D)  14.601 miles per hour 
E)  14.599 miles per hour 
A)  14.602 miles per hour 
B)  14.603 miles per hour 
C)  14.6 miles per hour 
D)  14.601 miles per hour 
E)  14.599 miles per hour

Question 6

Tanya bought 500 shares of one stock at $12.37 per share, and 250 shares of another stock at $16.82 per share. How much did she pay for the 750 shares?

Accepted Answer

A)  $10,390 
B)  $10,160 
C)  $10,560 
D)  $10,902 
E)  $10,424 
A)  $10,390 
B)  $10,160 
C)  $10,560 
D)  $10,902 
E)  $10,424

Question 7

Evaluate. -14.6 - (-6.2)

Accepted Answer

A)  -8 
B)  -8.4 
C)  -10.7 
D)  -8.5 
E)  -9.6 
A)  -8 
B)  -8.4 
C)  -10.7 
D)  -8.5 
E)  -9.6

Question 8

Exponents are used to indicate repeated multiplication.

Accepted Answer

A) True 
 B)False

Question 9

A certain recipe calls for $\frac { 1 } { 4 }$ cup of sugar. To make one-fourth of the recipe, how much sugar is needed?

Accepted Answer

A)  $\frac { 2 } { 4 }$ cup 
B)  $\frac { 2 } { 32 }$ cup 
C)  $\frac { 1 } { 48 }$ cup 
D)  $\frac { 1 } { 16 }$ cup 
E)  $\frac { 1 } { 32 }$ cup 
A)  $\frac { 2 } { 4 }$ cup 
B)  $\frac { 2 } { 32 }$ cup 
C)  $\frac { 1 } { 48 }$ cup 
D)  $\frac { 1 } { 16 }$ cup 
E)  $\frac { 1 } { 32 }$ cup

Question 10

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

Accepted Answer

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

Question 11

Divide as indicated, and express your answer in reduced form. $\frac { 15 } { x } \div \frac { 21 } { y }$

Accepted Answer

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

Question 12

Add the fractions below, and express the answer in lowest terms. $\frac { 1 } { 11 z } + \frac { 1 } { z }$

Accepted Answer

A)  $\frac { 1 } { 121 z }$ 
B)  $\frac { 12 } { 11 z }$ 
C)  $\frac { 1 } { 11 }$ 
D)  $\frac { 1 } { 11 z }$ 
E)  none of these 
A)  $\frac { 1 } { 121 z }$ 
B)  $\frac { 12 } { 11 z }$ 
C)  $\frac { 1 } { 11 }$ 
D)  $\frac { 1 } { 11 z }$ 
E)  none of these

Question 13

Multiply the numbers below, and express the answer in reduced form. $\frac { 16 } { 5 } \cdot \frac { 2 } { 5 }$

Accepted Answer

The answer of Multiply the numbers below, and express the...

Question 14

Divide as indicated, and express your answer in reduced form. $\frac { - 3 } { x } \div \frac { 7 } { x }$

Accepted Answer

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

Question 15

Simplify the numerical expression below. $- 9 ( - 3 ) ^ { 4 } - 9 ( - 7 ) ^ { 5 } - 3 ( - 8 ) ^ { 2 }$

Accepted Answer

A)  150,442 
B)  150,342 
C)  150,379 
D)  150,322 
E)  150,317 
A)  150,442 
B)  150,342 
C)  150,379 
D)  150,322 
E)  150,317

Question 16

Simplify the numerical expression. 19.5 + 29.3 - 15.5

Accepted Answer

A)  33.3 
B)  31.1 
C)  36.6 
D)  34.4 
E)  33.7 
A)  33.3 
B)  31.1 
C)  36.6 
D)  34.4 
E)  33.7

Question 17

Translate the word phrase into an algebraic expression. The product of l , w , and h .

Accepted Answer

A)  $\frac { l w } { h }$ 
B)  $l w h$ 
C)  $l w + h$ 
D)  $l w - h$ 
E)  none of these 
A)  $\frac { l w } { h }$ 
B)  $l w h$ 
C)  $l w + h$ 
D)  $l w - h$ 
E)  none of these

Question 18

Use exponents to express the algebraic expression below in a more compact form. $6 \cdot z \cdot z \cdot z \cdot z$

Accepted Answer

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

Question 19

Perform the indicated operations, and express your answer in reduced form. $\frac { 8 } { x } - \frac { 3 } { y } - \frac { 5 } { x y }$

Accepted Answer

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

Question 20

Subtract as indicated, and express your answer in lowest terms. $\frac { 5 } { 8 } - \frac { 8 } { 9 }$

Accepted Answer

A)  $- \frac { 19 } { 73 }$ 
B)  $\frac { 19 } { 72 }$ 
C)  $\frac { 5 } { 18 }$ 
D)  $- \frac { 20 } { 73 }$ 
E)  $- \frac { 19 } { 72 }$ 
A)  $- \frac { 19 } { 73 }$ 
B)  $\frac { 19 } { 72 }$ 
C)  $\frac { 5 } { 18 }$ 
D)  $- \frac { 20 } { 73 }$ 
E)  $- \frac { 19 } { 72 }$

Divide the numbers below, and express the answer in reduced form. $\frac { 8 } { 11 } \div \frac { 13 } { 4 }$

Evaluate algebraic expression below for the given values of the variables. $4 p ^ { 2 } - 3 n ^ { 2 }$ if p = 6 and n = 2

Add the fractions below, and express the answer in its lowest terms. $\frac { 4 } { 44 y } + \frac { 32 } { 44 y }$

Prime factorization can be used to determine the least common denominator of two or more rational numbers.

In 2003 the average speed of the winner of a race was 139.15 miles per hour. In 2000 the average speed of the winner was 153.751 miles per hour. How much faster was the average speed of the winner in 2000 compared to the winner in 2003?

Tanya bought 500 shares of one stock at $12.37 per share, and 250 shares of another stock at $16.82 per share. How much did she pay for the 750 shares?

Evaluate. -14.6 - (-6.2)

Exponents are used to indicate repeated multiplication.

A certain recipe calls for $\frac { 1 } { 4 }$ cup of sugar. To make one-fourth of the recipe, how much sugar is needed?

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

Divide as indicated, and express your answer in reduced form. $\frac { 15 } { x } \div \frac { 21 } { y }$

Add the fractions below, and express the answer in lowest terms. $\frac { 1 } { 11 z } + \frac { 1 } { z }$

Multiply the numbers below, and express the answer in reduced form. $\frac { 16 } { 5 } \cdot \frac { 2 } { 5 }$

Divide as indicated, and express your answer in reduced form. $\frac { - 3 } { x } \div \frac { 7 } { x }$

Simplify the numerical expression below. $- 9 ( - 3 ) ^ { 4 } - 9 ( - 7 ) ^ { 5 } - 3 ( - 8 ) ^ { 2 }$

Simplify the numerical expression. 19.5 + 29.3 - 15.5

Translate the word phrase into an algebraic expression. The product of l , w , and h .

Use exponents to express the algebraic expression below in a more compact form. $6 \cdot z \cdot z \cdot z \cdot z$

Perform the indicated operations, and express your answer in reduced form. $\frac { 8 } { x } - \frac { 3 } { y } - \frac { 5 } { x y }$

Subtract as indicated, and express your answer in lowest terms. $\frac { 5 } { 8 } - \frac { 8 } { 9 }$

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

Divide the numbers below, and express the answer in reduced form. 811÷134\frac { 8 } { 11 } \div \frac { 13 } { 4 }118​÷413​

Evaluate algebraic expression below for the given values of the variables. 4p2−3n24 p ^ { 2 } - 3 n ^ { 2 }4p2−3n2 if p = 6 and n = 2

Add the fractions below, and express the answer in its lowest terms. 444y+3244y\frac { 4 } { 44 y } + \frac { 32 } { 44 y }44y4​+44y32​

Prime factorization can be used to determine the least common denominator of two or more rational numbers.

In 2003 the average speed of the winner of a race was 139.15 miles per hour. In 2000 the average speed of the winner was 153.751 miles per hour. How much faster was the average speed of the winner in 2000 compared to the winner in 2003?

Tanya bought 500 shares of one stock at $12.37 per share, and 250 shares of another stock at $16.82 per share. How much did she pay for the 750 shares?

Evaluate. -14.6 - (-6.2)

Exponents are used to indicate repeated multiplication.

A certain recipe calls for 14\frac { 1 } { 4 }41​ cup of sugar. To make one-fourth of the recipe, how much sugar is needed?

Simplify the algebraic expression by combining similar terms. 37x+12y+13x+34y\frac { 3 } { 7 } x + \frac { 1 } { 2 } y + \frac { 1 } { 3 } x + \frac { 3 } { 4 } y73​x+21​y+31​x+43​y

Divide as indicated, and express your answer in reduced form. 15x÷21y\frac { 15 } { x } \div \frac { 21 } { y }x15​÷y21​

Add the fractions below, and express the answer in lowest terms. 111z+1z\frac { 1 } { 11 z } + \frac { 1 } { z }11z1​+z1​

Multiply the numbers below, and express the answer in reduced form. 165⋅25\frac { 16 } { 5 } \cdot \frac { 2 } { 5 }516​⋅52​

Divide as indicated, and express your answer in reduced form. −3x÷7x\frac { - 3 } { x } \div \frac { 7 } { x }x−3​÷x7​

Simplify the numerical expression below. −9(−3)4−9(−7)5−3(−8)2- 9 ( - 3 ) ^ { 4 } - 9 ( - 7 ) ^ { 5 } - 3 ( - 8 ) ^ { 2 }−9(−3)4−9(−7)5−3(−8)2

Simplify the numerical expression. 19.5 + 29.3 - 15.5

Translate the word phrase into an algebraic expression. The product of l , w , and h .

Use exponents to express the algebraic expression below in a more compact form. 6⋅z⋅z⋅z⋅z6 \cdot z \cdot z \cdot z \cdot z6⋅z⋅z⋅z⋅z

Perform the indicated operations, and express your answer in reduced form. 8x−3y−5xy\frac { 8 } { x } - \frac { 3 } { y } - \frac { 5 } { x y }x8​−y3​−xy5​

Subtract as indicated, and express your answer in lowest terms. 58−89\frac { 5 } { 8 } - \frac { 8 } { 9 }85​−98​

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

Divide the numbers below, and express the answer in reduced form. $\frac { 8 } { 11 } \div \frac { 13 } { 4 }$

Evaluate algebraic expression below for the given values of the variables. $4 p ^ { 2 } - 3 n ^ { 2 }$ if p = 6 and n = 2

Add the fractions below, and express the answer in its lowest terms. $\frac { 4 } { 44 y } + \frac { 32 } { 44 y }$

A certain recipe calls for $\frac { 1 } { 4 }$ cup of sugar. To make one-fourth of the recipe, how much sugar is needed?

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

Divide as indicated, and express your answer in reduced form. $\frac { 15 } { x } \div \frac { 21 } { y }$

Add the fractions below, and express the answer in lowest terms. $\frac { 1 } { 11 z } + \frac { 1 } { z }$

Multiply the numbers below, and express the answer in reduced form. $\frac { 16 } { 5 } \cdot \frac { 2 } { 5 }$

Divide as indicated, and express your answer in reduced form. $\frac { - 3 } { x } \div \frac { 7 } { x }$

Simplify the numerical expression below. $- 9 ( - 3 ) ^ { 4 } - 9 ( - 7 ) ^ { 5 } - 3 ( - 8 ) ^ { 2 }$

Use exponents to express the algebraic expression below in a more compact form. $6 \cdot z \cdot z \cdot z \cdot z$

Perform the indicated operations, and express your answer in reduced form. $\frac { 8 } { x } - \frac { 3 } { y } - \frac { 5 } { x y }$

Subtract as indicated, and express your answer in lowest terms. $\frac { 5 } { 8 } - \frac { 8 } { 9 }$