Question 1

Solve the equation. $- x ^ { 2 } - 7 x + 8 = 0$

Accepted Answer

A)  { 1, -8 } 
B)  { 1, 8 } 
C)  { -1, -8 } 
D)  { -1, 8 } 
A)  { 1, -8 } 
B)  { 1, 8 } 
C)  { -1, -8 } 
D)  { -1, 8 }

Question 2

Solve the equation. $( t - 8 ) ( t + 2 ) = - 24$

Accepted Answer

A)  {8, 0} 
B)  {7, 2} 
C)  {4, 2} 
D)  none of these 
A)  {8, 0} 
B)  {7, 2} 
C)  {4, 2} 
D)  none of these

Question 3

Greatest common factors are always monomials.

Accepted Answer

A) True 
 B)False

Question 4

Factor the following trinomial completely. $y ^ { 2 } - y - 56$

Accepted Answer

A)  ( y + 8)( y $-$ 7) 
B)  ( y $-$ 8)( y + 7) 
C)  ( y + 8)( y + 7) 
D)  y ( y + 1) $-$ 56 
E)  ( y $-$ 8)( y $-$ 7) 
A)  ( y + 8)( y $-$ 7) 
B)  ( y $-$ 8)( y + 7) 
C)  ( y + 8)( y + 7) 
D)  y ( y + 1) $-$ 56 
E)  ( y $-$ 8)( y $-$ 7)

Question 5

Suppose that the area of a circle is numerically equal to 2 times the perimeter of a square and that the length of a radius of the circle is equal to the length of a side of the square. Find the length of a side of the square.

Accepted Answer

A)  $\frac { \pi } { 8 }$ 
B)  $8 \pi$ 
C)  $\frac { \pi } { 16 }$ 
D)  $\frac { 8 } { \pi }$ 
E)  $\frac { 16 } { \pi }$ 
A)  $\frac { \pi } { 8 }$ 
B)  $8 \pi$ 
C)  $\frac { \pi } { 16 }$ 
D)  $\frac { 8 } { \pi }$ 
E)  $\frac { 16 } { \pi }$

Question 6

Solve the equation. $a ^ { 3 } - 4 a ^ { 2 } - 60 a = 0$

Accepted Answer

A)  {6, 10, 0} 
B)  {6, $-$ 10, 0} 
C)  { $-$ 6, 10, 0} 
D)  { $-$ 6, $-$ 10, 0} 
E)  none of these 
A)  {6, 10, 0} 
B)  {6, $-$ 10, 0} 
C)  { $-$ 6, 10, 0} 
D)  { $-$ 6, $-$ 10, 0} 
E)  none of these

Question 7

Factor the following polynomial completely. $2 x ^ { 2 } + 7 x + 3$

Accepted Answer

A)  $( 2 x - 1 ) ( x - 3 )$ 
B)  $( 2 x + 3 ) ( x + 1 )$ 
C)  $( 2 x + 1 ) ( x + 3 )$ 
D)  none of these 
A)  $( 2 x - 1 ) ( x - 3 )$ 
B)  $( 2 x + 3 ) ( x + 1 )$ 
C)  $( 2 x + 1 ) ( x + 3 )$ 
D)  none of these

Question 8

Find two numbers whose product is 12 such that one of the numbers is 2 more than two times the other number.

Accepted Answer

A)  {6, 7}, {-4, -8} 
B)  {6, 2}, {-4, -3} 
C)  {6, -3}, {-4, 2} 
D)  none of these 
A)  {6, 7}, {-4, -8} 
B)  {6, 2}, {-4, -3} 
C)  {6, -3}, {-4, 2} 
D)  none of these

Question 9

Set up an equation and solve the problem. The sum of the areas of two squares is 1,813 square inches. Each side of the larger square is 6 times the length of a side of the smaller square. Find the length of a side of the smaller square.

Accepted Answer

A)  7 inches 
B)  8 inches 
C)  42 inches 
D)  49 inches 
E)  none of these 
A)  7 inches 
B)  8 inches 
C)  42 inches 
D)  49 inches 
E)  none of these

Question 10

Factor the following trinomial completely. $x ^ { 2 } + 12 x + 32$

Accepted Answer

The answer of Factor the following trinomial completely. \(x ^...

Question 11

Factor the polynomial completely. $2 y ( d + 5 ) + 9 f ( d + 5 )$

Accepted Answer

A)  $( 2 y + 9 f ) ( d + 5 )$ 
B)  $( 2 y + 9 f ) ( d + 90 )$ 
C)  $( 9 y + 2 f ) ( d + 5 )$ 
D)  $2 y + 9 f ( d + 5 )$ 
E)  $( 2 y + 9 f ) d + 5$ 
A)  $( 2 y + 9 f ) ( d + 5 )$ 
B)  $( 2 y + 9 f ) ( d + 90 )$ 
C)  $( 9 y + 2 f ) ( d + 5 )$ 
D)  $2 y + 9 f ( d + 5 )$ 
E)  $( 2 y + 9 f ) d + 5$

Question 12

Factor the polynomial completely. $10 x ^ { 2 } + 60$

Accepted Answer

A)  $10 ( x - 6 ) ( x + 6 )$ 
B)  $10 \left( x ^ { 2 } + 6 \right)$ 
C)  $10 \left( x ^ { 2 } - 6 \right)$ 
D)  $10 ( x + 6 )$ 
E)  none of these 
A)  $10 ( x - 6 ) ( x + 6 )$ 
B)  $10 \left( x ^ { 2 } + 6 \right)$ 
C)  $10 \left( x ^ { 2 } - 6 \right)$ 
D)  $10 ( x + 6 )$ 
E)  none of these

Question 13

Solve the equation. $100 u ^ { 2 } - 220 u + 121 = 0$

Accepted Answer

The answer of Solve the equation. \(100 u ^ {...

Question 14

Solve the equation. $35 x ^ { 2 } - 74 x + 35 = 0$

Accepted Answer

The answer of Solve the equation. \(35 x ^ {...

Question 15

Solve the equation. $23 x - x ^ { 2 } = 0$

Accepted Answer

A)  { $-$ 1, 0 } 
B)  { 23, 0 } 
C)  { 1, 0 } 
D)  { $-$ 23, 0 } 
A)  { $-$ 1, 0 } 
B)  { 23, 0 } 
C)  { 1, 0 } 
D)  { $-$ 23, 0 }

Question 16

Solve the equation. $x ^ { 2 } = 9$

Accepted Answer

A)  $x = 0$ 
B)  $x = 19$ 
C)  $x = \pm 9$ 
D)  $x = \pm 3$ 
E)  none of these 
A)  $x = 0$ 
B)  $x = 19$ 
C)  $x = \pm 9$ 
D)  $x = \pm 3$ 
E)  none of these

Question 17

Find the greatest common factor of the given expression. $42 x \text { and } 66 x b$

Accepted Answer

A)  $6 x$ 
B)  $6 \times b$ 
C)  $6$ 
D)  $11 b$ 
E)  $7 x$ 
A)  $6 x$ 
B)  $6 \times b$ 
C)  $6$ 
D)  $11 b$ 
E)  $7 x$

Question 18

Solve the equation. $x ^ { 2 } + 34 x + 285$

Accepted Answer

A)  { 15, -19 } 
B)  { -15, -19 } 
C)  { 15, 19 } 
D)  { -15, 19 } 
A)  { 15, -19 } 
B)  { -15, -19 } 
C)  { 15, 19 } 
D)  { -15, 19 }

Question 19

Solve the equation. $4 y ^ { 2 } + 29 y - 24 = 0$ Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the equation. \(4 y ^ {...

Question 20

The greatest common factor of two or more whole numbers can be found by using the prime factored form of the numbers.

Accepted Answer

A) True 
 B)False

Solve the equation. $- x ^ { 2 } - 7 x + 8 = 0$

Solve the equation. $( t - 8 ) ( t + 2 ) = - 24$

Greatest common factors are always monomials.

Factor the following trinomial completely. $y ^ { 2 } - y - 56$

Suppose that the area of a circle is numerically equal to 2 times the perimeter of a square and that the length of a radius of the circle is equal to the length of a side of the square. Find the length of a side of the square.

Solve the equation. $a ^ { 3 } - 4 a ^ { 2 } - 60 a = 0$

Factor the following polynomial completely. $2 x ^ { 2 } + 7 x + 3$

Find two numbers whose product is 12 such that one of the numbers is 2 more than two times the other number.

Set up an equation and solve the problem. The sum of the areas of two squares is 1,813 square inches. Each side of the larger square is 6 times the length of a side of the smaller square. Find the length of a side of the smaller square.

Factor the following trinomial completely. $x ^ { 2 } + 12 x + 32$

Factor the polynomial completely. $2 y ( d + 5 ) + 9 f ( d + 5 )$

Factor the polynomial completely. $10 x ^ { 2 } + 60$

Solve the equation. $100 u ^ { 2 } - 220 u + 121 = 0$

Solve the equation. $35 x ^ { 2 } - 74 x + 35 = 0$

Solve the equation. $23 x - x ^ { 2 } = 0$

Solve the equation. $x ^ { 2 } = 9$

Find the greatest common factor of the given expression. $42 x \text { and } 66 x b$

Solve the equation. $x ^ { 2 } + 34 x + 285$

Solve the equation. $4 y ^ { 2 } + 29 y - 24 = 0$ Please enter your answer as two numbers, separated by a comma.

The greatest common factor of two or more whole numbers can be found by using the prime factored form of the numbers.

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

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 7: Factoring, Solving Equations and Problem Solving

Solve the equation. −x2−7x+8=0- x ^ { 2 } - 7 x + 8 = 0−x2−7x+8=0

Solve the equation. (t−8)(t+2)=−24( t - 8 ) ( t + 2 ) = - 24(t−8)(t+2)=−24

Greatest common factors are always monomials.

Factor the following trinomial completely. y2−y−56y ^ { 2 } - y - 56y2−y−56

Suppose that the area of a circle is numerically equal to 2 times the perimeter of a square and that the length of a radius of the circle is equal to the length of a side of the square. Find the length of a side of the square.

Solve the equation. a3−4a2−60a=0a ^ { 3 } - 4 a ^ { 2 } - 60 a = 0a3−4a2−60a=0

Factor the following polynomial completely. 2x2+7x+32 x ^ { 2 } + 7 x + 32x2+7x+3

Find two numbers whose product is 12 such that one of the numbers is 2 more than two times the other number.

Set up an equation and solve the problem. The sum of the areas of two squares is 1,813 square inches. Each side of the larger square is 6 times the length of a side of the smaller square. Find the length of a side of the smaller square.

Factor the following trinomial completely. x2+12x+32x ^ { 2 } + 12 x + 32x2+12x+32

Factor the polynomial completely. 2y(d+5)+9f(d+5)2 y ( d + 5 ) + 9 f ( d + 5 )2y(d+5)+9f(d+5)

Factor the polynomial completely. 10x2+6010 x ^ { 2 } + 6010x2+60

Solve the equation. 100u2−220u+121=0100 u ^ { 2 } - 220 u + 121 = 0100u2−220u+121=0

Solve the equation. 35x2−74x+35=035 x ^ { 2 } - 74 x + 35 = 035x2−74x+35=0

Solve the equation. 23x−x2=023 x - x ^ { 2 } = 023x−x2=0

Solve the equation. x2=9x ^ { 2 } = 9x2=9

Find the greatest common factor of the given expression. 42x and 66xb42 x \text { and } 66 x b42x and 66xb

Solve the equation. x2+34x+285x ^ { 2 } + 34 x + 285x2+34x+285

Solve the equation. 4y2+29y−24=04 y ^ { 2 } + 29 y - 24 = 04y2+29y−24=0 Please enter your answer as two numbers, separated by a comma.

The greatest common factor of two or more whole numbers can be found by using the prime factored form of the numbers.

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

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

Solve the equation. $- x ^ { 2 } - 7 x + 8 = 0$

Solve the equation. $( t - 8 ) ( t + 2 ) = - 24$

Factor the following trinomial completely. $y ^ { 2 } - y - 56$

Solve the equation. $a ^ { 3 } - 4 a ^ { 2 } - 60 a = 0$

Factor the following polynomial completely. $2 x ^ { 2 } + 7 x + 3$

Factor the following trinomial completely. $x ^ { 2 } + 12 x + 32$

Factor the polynomial completely. $2 y ( d + 5 ) + 9 f ( d + 5 )$

Factor the polynomial completely. $10 x ^ { 2 } + 60$

Solve the equation. $100 u ^ { 2 } - 220 u + 121 = 0$

Solve the equation. $35 x ^ { 2 } - 74 x + 35 = 0$

Solve the equation. $23 x - x ^ { 2 } = 0$

Solve the equation. $x ^ { 2 } = 9$

Find the greatest common factor of the given expression. $42 x \text { and } 66 x b$

Solve the equation. $x ^ { 2 } + 34 x + 285$

Solve the equation. $4 y ^ { 2 } + 29 y - 24 = 0$ Please enter your answer as two numbers, separated by a comma.