Question 1

Solve the equation. $x ^ { 2 } + 10 x + 24 = 0$ Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the equation. \(x ^ { 2...

Question 2

An apple orchard contains 50 trees. The number of trees per row is five more than the number of rows. Find the number of rows.

Accepted Answer

The answer of An apple orchard contains 50 trees. The...

Question 3

Factor the polynomial completely. $1 - 25 y ^ { 2 }$

Accepted Answer

( 1 @#LAT-DLM& 5 y )

Question 4

For the equation $w ^ { 2 } = 49$ in order to use the difference-of-squares factoring pattern, subtract $- 49$ from both sides.

Accepted Answer

A) True 
 B)False

Question 5

Factor the following perfect square trinomial. $c ^ { 2 } + 8 c + 16$

Accepted Answer

The answer of Factor the following perfect square trinomial. \(c...

Question 6

Find the greatest common factor of the given expressions. $18 y d , 48 y d ^ { 6 } \text { and } 66 y ^ { 2 } d$

Accepted Answer

A)  $6 y d$ 
B)  $48 d y$ 
C)  $6 y$ 
D)  $8 d y$ 
E)  $3 y d$ 
A)  $6 y d$ 
B)  $48 d y$ 
C)  $6 y$ 
D)  $8 d y$ 
E)  $3 y d$

Question 7

Factor the following polynomial completely. $2 x ^ { 2 } + 11 x + 12$

Accepted Answer

A)  $( 2 x + 4 ) ( x + 3 )$ 
B)  $( 2 x - 3 ) ( x - 4 )$ 
C)  $( 2 x + 3 ) ( x + 4 )$ 
D)  $( 2 x + 3 ) ( 2 x + 4 )$ 
E)  none of these 
A)  $( 2 x + 4 ) ( x + 3 )$ 
B)  $( 2 x - 3 ) ( x - 4 )$ 
C)  $( 2 x + 3 ) ( x + 4 )$ 
D)  $( 2 x + 3 ) ( 2 x + 4 )$ 
E)  none of these

Question 8

Find two consecutive positive odd whole numbers whose product is 35.

Accepted Answer

A)  4, 6 
B)  5, 6 
C)  5, 7 
D)  3, 5 
E)  7, 9 
A)  4, 6 
B)  5, 6 
C)  5, 7 
D)  3, 5 
E)  7, 9

Question 9

Solve the equation. $n ^ { 3 } = 9 n$

Accepted Answer

A)  { $-$ 3, 0, 3 } 
B)  { $-$ 6 } 
C)  { $-$ 4, 0, 4 } 
D)  { $-$ 5, 5 } 
E)  none of these 
A)  { $-$ 3, 0, 3 } 
B)  { $-$ 6 } 
C)  { $-$ 4, 0, 4 } 
D)  { $-$ 5, 5 } 
E)  none of these

Question 10

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

Accepted Answer

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

Question 11

Use the process of factoring by grouping to factor the polynomial. $p ^ { 2 } - 7 p - 3 p + 21$

Accepted Answer

A)  $( p - 3 ) ( p - 7 )$ 
B)  $( p + 3 ) ( p - 21 )$ 
C)  $( p - 3 ) ( p + 7 )$ 
A)  $( p - 3 ) ( p - 7 )$ 
B)  $( p + 3 ) ( p - 21 )$ 
C)  $( p - 3 ) ( p + 7 )$

Question 12

Factor the polynomial completely. $2 x ^ { 4 } + 2 x ^ { 5 } + 2 x ^ { 2 }$

Accepted Answer

The answer of Factor the polynomial completely. \(2 x ^...

Question 13

One positive number is 2 larger than another number. The sum of their squares is 100. Find the numbers.

Accepted Answer

A)  8, 9 
B)  6, 8 
C)  7, 9 
D)  4, 6 
E)  9, 10 
A)  8, 9 
B)  6, 8 
C)  7, 9 
D)  4, 6 
E)  9, 10

Question 14

Solve the equation. $3 ( z - 9 ) - z ( z - 9 ) = 0$

Accepted Answer

A)  { 3, $-$ 9 } 
B)  { $-$ 3, $-$ 9 } 
C)  { 3, 9 } 
D)  { $-$ 3, 9 } 
A)  { 3, $-$ 9 } 
B)  { $-$ 3, $-$ 9 } 
C)  { 3, 9 } 
D)  { $-$ 3, 9 }

Question 15

Factor the polynomial completely. $10 z ^ { 4 } d ^ { 3 } + 16 z d ^ { 9 } + 22 z d ^ { 3 }$

Accepted Answer

The answer of Factor the polynomial completely. \(10 z ^...

Question 16

Solve the equation. $25 x ^ { 2 } - 60 x + 36 = 0$

Accepted Answer

A)  $\left\{ \frac { 6 } { 5 } , \frac { 5 } { 6 } \right\}$ 
B)  $\left\{ \frac { 5 } { 6 } \right\}$ 
C)  $\left\{ \frac { 6 } { 5 } \right\}$ 
D)  none of these 
A)  $\left\{ \frac { 6 } { 5 } , \frac { 5 } { 6 } \right\}$ 
B)  $\left\{ \frac { 5 } { 6 } \right\}$ 
C)  $\left\{ \frac { 6 } { 5 } \right\}$ 
D)  none of these

Question 17

Factor the polynomial completely. $5 x ^ { 4 } a ^ { 9 } + 11 x ^ { 12 } a ^ { 5 }$

Accepted Answer

The answer of Factor the polynomial completely. \(5 x ^...

Question 18

Solve the equation. $x ^ { 2 } + 12 x + 32 = 0$

Accepted Answer

A)  { -8, 4 } 
B)  { 8, -4 } 
C)  { -8, -4 } 
D)  { 8, 4 } 
A)  { -8, 4 } 
B)  { 8, -4 } 
C)  { -8, -4 } 
D)  { 8, 4 }

Question 19

Suppose that the width of a certain rectangle is 6 inches less than its length. The area is numerically 21 less than twice the perimeter. Find the length and width of the rectangle.

Accepted Answer

A)  1 in., 7 in. 
B)  5 in., 11 in. 
C)  2 in., 8 in. 
D)  3 in., 9 in. 
E)  8 in., 14 in. 
A)  1 in., 7 in. 
B)  5 in., 11 in. 
C)  2 in., 8 in. 
D)  3 in., 9 in. 
E)  8 in., 14 in.

Question 20

Find which of the following trinomials is not factorable using integers. Match the trinomials to factorable and not factorable .
-factorable

Accepted Answer

A)  $t ^ { 2 } + 12 t + 24$ 
B)  $x ^ { 2 } - 10 x + 21$ 
A)  $t ^ { 2 } + 12 t + 24$ 
B)  $x ^ { 2 } - 10 x + 21$

Solve the equation. $x ^ { 2 } + 10 x + 24 = 0$ Please enter your answer as two numbers, separated by a comma.

An apple orchard contains 50 trees. The number of trees per row is five more than the number of rows. Find the number of rows.

Factor the polynomial completely. $1 - 25 y ^ { 2 }$

For the equation $w ^ { 2 } = 49$ in order to use the difference-of-squares factoring pattern, subtract $- 49$ from both sides.

Factor the following perfect square trinomial. $c ^ { 2 } + 8 c + 16$

Find the greatest common factor of the given expressions. $18 y d , 48 y d ^ { 6 } \text { and } 66 y ^ { 2 } d$

Factor the following polynomial completely. $2 x ^ { 2 } + 11 x + 12$

Find two consecutive positive odd whole numbers whose product is 35.

Solve the equation. $n ^ { 3 } = 9 n$

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

Use the process of factoring by grouping to factor the polynomial. $p ^ { 2 } - 7 p - 3 p + 21$

Factor the polynomial completely. $2 x ^ { 4 } + 2 x ^ { 5 } + 2 x ^ { 2 }$

One positive number is 2 larger than another number. The sum of their squares is 100. Find the numbers.

Solve the equation. $3 ( z - 9 ) - z ( z - 9 ) = 0$

Factor the polynomial completely. $10 z ^ { 4 } d ^ { 3 } + 16 z d ^ { 9 } + 22 z d ^ { 3 }$

Solve the equation. $25 x ^ { 2 } - 60 x + 36 = 0$

Factor the polynomial completely. $5 x ^ { 4 } a ^ { 9 } + 11 x ^ { 12 } a ^ { 5 }$

Solve the equation. $x ^ { 2 } + 12 x + 32 = 0$

Suppose that the width of a certain rectangle is 6 inches less than its length. The area is numerically 21 less than twice the perimeter. Find the length and width of the rectangle.

Find which of the following trinomials is not factorable using integers. Match the trinomials to factorable and not factorable . -factorable

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+10x+24=0x ^ { 2 } + 10 x + 24 = 0x2+10x+24=0 Please enter your answer as two numbers, separated by a comma.

An apple orchard contains 50 trees. The number of trees per row is five more than the number of rows. Find the number of rows.

Factor the polynomial completely. 1−25y21 - 25 y ^ { 2 }1−25y2

For the equation w2=49w ^ { 2 } = 49w2=49 in order to use the difference-of-squares factoring pattern, subtract −49- 49−49 from both sides.

Factor the following perfect square trinomial. c2+8c+16c ^ { 2 } + 8 c + 16c2+8c+16

Find the greatest common factor of the given expressions. 18yd,48yd6 and 66y2d18 y d , 48 y d ^ { 6 } \text { and } 66 y ^ { 2 } d18yd,48yd6 and 66y2d

Factor the following polynomial completely. 2x2+11x+122 x ^ { 2 } + 11 x + 122x2+11x+12

Find two consecutive positive odd whole numbers whose product is 35.

Solve the equation. n3=9nn ^ { 3 } = 9 nn3=9n

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

Use the process of factoring by grouping to factor the polynomial. p2−7p−3p+21p ^ { 2 } - 7 p - 3 p + 21p2−7p−3p+21

Factor the polynomial completely. 2x4+2x5+2x22 x ^ { 4 } + 2 x ^ { 5 } + 2 x ^ { 2 }2x4+2x5+2x2

One positive number is 2 larger than another number. The sum of their squares is 100. Find the numbers.

Solve the equation. 3(z−9)−z(z−9)=03 ( z - 9 ) - z ( z - 9 ) = 03(z−9)−z(z−9)=0

Factor the polynomial completely. 10z4d3+16zd9+22zd310 z ^ { 4 } d ^ { 3 } + 16 z d ^ { 9 } + 22 z d ^ { 3 }10z4d3+16zd9+22zd3

Solve the equation. 25x2−60x+36=025 x ^ { 2 } - 60 x + 36 = 025x2−60x+36=0

Factor the polynomial completely. 5x4a9+11x12a55 x ^ { 4 } a ^ { 9 } + 11 x ^ { 12 } a ^ { 5 }5x4a9+11x12a5

Solve the equation. x2+12x+32=0x ^ { 2 } + 12 x + 32 = 0x2+12x+32=0

Suppose that the width of a certain rectangle is 6 inches less than its length. The area is numerically 21 less than twice the perimeter. Find the length and width of the rectangle.

Find which of the following trinomials is not factorable using integers. Match the trinomials to factorable and not factorable . -factorable

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. $x ^ { 2 } + 10 x + 24 = 0$ Please enter your answer as two numbers, separated by a comma.

Factor the polynomial completely. $1 - 25 y ^ { 2 }$

For the equation $w ^ { 2 } = 49$ in order to use the difference-of-squares factoring pattern, subtract $- 49$ from both sides.

Factor the following perfect square trinomial. $c ^ { 2 } + 8 c + 16$

Find the greatest common factor of the given expressions. $18 y d , 48 y d ^ { 6 } \text { and } 66 y ^ { 2 } d$

Factor the following polynomial completely. $2 x ^ { 2 } + 11 x + 12$

Solve the equation. $n ^ { 3 } = 9 n$

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

Use the process of factoring by grouping to factor the polynomial. $p ^ { 2 } - 7 p - 3 p + 21$

Factor the polynomial completely. $2 x ^ { 4 } + 2 x ^ { 5 } + 2 x ^ { 2 }$

Solve the equation. $3 ( z - 9 ) - z ( z - 9 ) = 0$

Factor the polynomial completely. $10 z ^ { 4 } d ^ { 3 } + 16 z d ^ { 9 } + 22 z d ^ { 3 }$

Solve the equation. $25 x ^ { 2 } - 60 x + 36 = 0$

Factor the polynomial completely. $5 x ^ { 4 } a ^ { 9 } + 11 x ^ { 12 } a ^ { 5 }$

Solve the equation. $x ^ { 2 } + 12 x + 32 = 0$