Question 1

Factor completely.
-

Accepted Answer

A)  (x - 7y)(x + 5y) 
B)  (x - 7y)(x + y) 
C)  (x + 7y)(x + 5y) 
D)  prime 
A)  (x - 7y)(x + 5y) 
B)  (x - 7y)(x + y) 
C)  (x + 7y)(x + 5y) 
D)  prime C

Question 2

Factor the sum or difference of two cubes.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    B

Question 3

Factor the polynomial. If the polynomial is prime, so state.
-

Accepted Answer

A)  (m + 8n)(m + 7n) 
B)  (m - 8n)(m + 7n) 
C)  (m + 8n)(m - 7n) 
D)  (m - 8n)(m - 7n) 
A)  (m + 8n)(m + 7n) 
B)  (m - 8n)(m + 7n) 
C)  (m + 8n)(m - 7n) 
D)  (m - 8n)(m - 7n) C

Question 4

Factor completely. If the polynomial is prime, so state.
-

Accepted Answer

A)  a(ab - 6)(ab - 9) 
B)  a(ab + 6)(ab + 9) 
C)    
D)    
A)  a(ab - 6)(ab - 9) 
B)  a(ab + 6)(ab + 9) 
C)    
D)

Question 5

Determine the greatest common factor for the pair of numbers.
-147, 280

Accepted Answer

A)  1 
B)  7 
C)  2 
D)  14 
A)  1 
B)  7 
C)  2 
D)  14

Question 6

Factor completely. If the polynomial is prime, so state.
-

Accepted Answer

A)  (9x + 4t)(x + 4t) 
B)  (3x + 4t)(3x + 4t) 
C)  (9x - 4t)(x - 4t) 
D)  (3x - 4t)(3x - 4t) 
A)  (9x + 4t)(x + 4t) 
B)  (3x + 4t)(3x + 4t) 
C)  (9x - 4t)(x - 4t) 
D)  (3x - 4t)(3x - 4t)

Question 7

Solve the problem.
-a and b represent the legs of a right triangle and c represents the hypotenuse. Determine the value of the question mark (?).
A = 20, c = 52, b = ?

Accepted Answer

A)  144 
B)  56 
C)  32 
D)  48 
A)  144 
B)  56 
C)  32 
D)  48

Question 8

Factor the polynomial. If the polynomial is prime, so state.
-

Accepted Answer

A)  (x - 2)(x + 9) 
B)    
C)  (x + 2)(x + 9) 
D)  prime 
A)  (x - 2)(x + 9) 
B)    
C)  (x + 2)(x + 9) 
D)  prime

Question 9

Factor the GCF from each term in the expression.
-3x + 9

Accepted Answer

A)  3x + 3 
B)  3(x + 9) 
C)  x 
D)  3(x + 3) 
A)  3x + 3 
B)  3(x + 9) 
C)  x 
D)  3(x + 3)

Question 10

Determine whether the quadratic equation is in standard form.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 11

Factor by grouping.
-cz + z - c - 1

Accepted Answer

A)  (z - 1)(c - 1) 
B)  (z - 1)(c + 1) 
C)  (z + 1)(c - 1) 
D)  (z + 1)(c + 1) 
A)  (z - 1)(c - 1) 
B)  (z - 1)(c + 1) 
C)  (z + 1)(c - 1) 
D)  (z + 1)(c + 1)

Question 12

Factor completely. If the polynomial is prime, so state.
-

Accepted Answer

A)  (5x + 7)(-8x + 2) 
B)  (5x - 7)(8x + 2) 
C)  (5x - 7)(8x - 2) 
D)  prime 
A)  (5x + 7)(-8x + 2) 
B)  (5x - 7)(8x + 2) 
C)  (5x - 7)(8x - 2) 
D)  prime

Question 13

Factor the GCF from each term in the expression.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Determine whether the equation is a quadratic equation.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 15

Factor completely.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Factor completely. If the polynomial is prime, so state.
-

Accepted Answer

A)  (15z - 2)(z + 2) 
B)  (3z - 2)(5z + 2) 
C)  (3z + 2)(5z - 2) 
D)  prime 
A)  (15z - 2)(z + 2) 
B)  (3z - 2)(5z + 2) 
C)  (3z + 2)(5z - 2) 
D)  prime

Question 17

Factor the GCF from each term in the expression.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Solve.
-(x - 5)(x + 8) = 0

Accepted Answer

A)  5, 8 
B)  5, -8 
C)  -5, 8 
D)  5, -5, 8, -8 
A)  5, 8 
B)  5, -8 
C)  -5, 8 
D)  5, -5, 8, -8

Question 19

Solve the problem.
-The sum of a number and its square is 56. Find the number.

Accepted Answer

A)  7 or 8 
B)  -7 or 8 
C)  7 or -8 
D)  -7 or -8 
A)  7 or 8 
B)  -7 or 8 
C)  7 or -8 
D)  -7 or -8

Question 20

Factor the sum or difference of two cubes.
-

Accepted Answer

A)    
B)  (u + v)(u + v)(u + v) 
C)    
D)    
A)    
B)  (u + v)(u + v)(u + v) 
C)    
D)

Factor completely. -

Factor the sum or difference of two cubes. -

Factor the polynomial. If the polynomial is prime, so state. -

Factor completely. If the polynomial is prime, so state. -

Determine the greatest common factor for the pair of numbers. -147, 280

Factor completely. If the polynomial is prime, so state. -

Solve the problem. -a and b represent the legs of a right triangle and c represents the hypotenuse. Determine the value of the question mark (?). A = 20, c = 52, b = ?

Factor the polynomial. If the polynomial is prime, so state. -

Factor the GCF from each term in the expression. -3x + 9

Determine whether the quadratic equation is in standard form. -

Factor by grouping. -cz + z - c - 1

Factor completely. If the polynomial is prime, so state. -

Factor the GCF from each term in the expression. -

Determine whether the equation is a quadratic equation. -

Factor completely. -

Factor completely. If the polynomial is prime, so state. -

Factor the GCF from each term in the expression. -

Solve. -(x - 5)(x + 8) = 0

Solve the problem. -The sum of a number and its square is 56. Find the number.

Factor the sum or difference of two cubes. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters

Exam 6: Factoring

Factor completely. -

Factor the sum or difference of two cubes. -

Factor the polynomial. If the polynomial is prime, so state. -

Factor completely. If the polynomial is prime, so state. -

Determine the greatest common factor for the pair of numbers. -147, 280

Factor completely. If the polynomial is prime, so state. -

Solve the problem. -a and b represent the legs of a right triangle and c represents the hypotenuse. Determine the value of the question mark (?). A = 20, c = 52, b = ?

Factor the polynomial. If the polynomial is prime, so state. -

Factor the GCF from each term in the expression. -3x + 9

Determine whether the quadratic equation is in standard form. -

Factor by grouping. -cz + z - c - 1

Factor completely. If the polynomial is prime, so state. -

Factor the GCF from each term in the expression. -

Determine whether the equation is a quadratic equation. -

Factor completely. -

Factor completely. If the polynomial is prime, so state. -

Factor the GCF from each term in the expression. -

Solve. -(x - 5)(x + 8) = 0

Solve the problem. -The sum of a number and its square is 56. Find the number.

Factor the sum or difference of two cubes. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters