Factors of Polynomials
Presentation
•
Mathematics
•
8th Grade
•
Hard
Joseph Anderson
FREE Resource
9 Slides • 35 Questions
1
Solving Word Problems Involving Factors of Polynomials
2
Multiple Choice
Which of the following is the title/name of this pattern
ax2+ax+a?
Quadratic Trinomial
Difference of Two Squares
Common Factor
Perfect Square Trinomial
Sum and Difference of Two Cubes
3
Multiple Choice
Which of the following is the title/name of this pattern
x2+2xy+y2?
Quadratic Trinomial
Difference of Two Squares
Common Factor
Perfect Square Trinomial
Sum and Difference of Two Cubes
4
Multiple Choice
Which of the following is the title/name of this pattern
x2-y2?
Quadratic Trinomial
Difference of Two Squares
Common Factor
Perfect Square Trinomial
Sum and Difference of Two Cubes
5
Multiple Choice
Which of the following is the title/name of this pattern
x3-y3?
Quadratic Trinomial
Difference of Two Squares
Common Factor
Perfect Square Trinomial
Sum and Difference of Two Cubes
6
Multiple Choice
Which of the following is the title/name of this pattern
ax2+bx+c?
Quadratic Trinomial
Difference of Two Squares
Common Factor
Perfect Square Trinomial
Sum and Difference of Two Cubes
7
Choose the appropriate answer with the given mathematical statements below:
e.g. expression -> 2x+3
equation -> 2x+3=6
8
Multiple Choice
Choose the appropriate answer with the given mathematical statements below:
12x3-3x
Equation & Factored Form
Equation & Not Factored Form
Expression & Factored Form
Expression & Not Factored Form
9
Multiple Choice
Choose the appropriate answer with the given mathematical statements below:
7(x-3)
Equation & Factored Form
Equation & Not Factored Form
Expression & Factored Form
Expression & Not Factored Form
10
Multiple Choice
Choose the appropriate answer with the given mathematical statements below:
-6x2=-24
Equation & Factored Form
Equation & Not Factored Form
Expression & Factored Form
Expression & Not Factored Form
11
Multiple Choice
Choose the appropriate answer with the given mathematical statements below:
x(2x+1)=10
Equation & Factored Form
Equation & Not Factored Form
Expression & Factored Form
Expression & Not Factored Form
12
Multiple Choice
Choose the appropriate answer with the given mathematical statements below:
3x+12
Equation & Factored Form
Equation & Not Factored Form
Expression & Factored Form
Expression & Not Factored Form
13
Factor completely.
14
Multiple Choice
Factor Completely.
x2-3x-10
(x-2)(x+5)
(x+2)(x+5)
(x-2)(x-5)
(x+2)(x-5)
15
Multiple Choice
Factor Completely.
x2+3x-10
(x-2)(x+5)
(x+2)(x+5)
(x-2)(x-5)
(x+2)(x-5)
16
Multiple Choice
Factor Completely.
x2+7x+10
(x-2)(x+5)
(x+2)(x+5)
(x-2)(x-5)
(x+2)(x-5)
17
Multiple Choice
Factor Completely.
x2-7x+10
(x-2)(x+5)
(x+2)(x+5)
(x-2)(x-5)
(x+2)(x-5)
18
Multiple Choice
Factor Completely.
8x3+125
(2x-5)(2x-5)
(2x+5)(2x-5)
(2x-5)(4x2+10x+25)
(2x+5)(4x2-10x+25)
19
Multiple Choice
Factor Completely.
4x2-20x+25
(2x-5)(2x-5)
(2x+5)(2x-5)
(2x-5)(4x2+10x+25)
(2x+5)(4x2-10x+25)
20
Multiple Choice
Factor Completely.
8x3-125
(2x-5)(2x-5)
(2x+5)(2x-5)
(2x-5)(4x2+10x+25)
(2x+5)(4x2-10x+25)
21
Multiple Choice
Factor Completely.
4x2-25
(2x-5)(2x-5)
(2x+5)(2x-5)
(2x-5)(4x2+10x+25)
(2x+5)(4x2-10x+25)
22
Translate the following into a mathematical expression or equation
23
Fill in the Blanks
Translate the following into a mathematical expression or equation.
The cube of a number equals nine times the number.
Type answer...
24
Fill in the Blanks
Translate the following into a mathematical expression or equation.
Forty-nine less square of a number.
Type answer...
25
Fill in the Blanks
Translate the following into a mathematical expression or equation. (note: Let x be the side of a square)
The area of a square is numerically equal to five times its perimeter.
Type answer...
26
Fill in the Blanks
Translate the following into a mathematical expression or equation.
Ten times the square of a number equals forty.
Type answer...
27
28
29
30
31
32
Fill in the Blanks
Translate the following into a mathematical expression or equation.
Twice the square of a number is 32.
Type answer...
33
Fill in the Blanks
Translate the following into a mathematical expression or equation.
Twice a number increased by 8 is 14.
Type answer...
34
Fill in the Blanks
Translate the following into a mathematical expression or equation.
Twenty-five decreased by twice a number is twelve.
Type answer...
35
Fill in the Blanks
Translate the following into a mathematical expression or equation.
The square of the difference between a number and nine is 25.
Type answer...
36
Multiple Choice
Translate the following into a mathematical expression or equation.
Paul’s age is 7 years younger than half of Marina’s age. Express their ages.
Let x be Marina’s age
Let _____ be Paul’s age
(x-7)
(x+7)
7x
-7x
37
Multiple Choice
Translate the following into a mathematical expression or equation.
Ben is 4 years older than Mandy.
The sum of their ages is 30.
Let x be Mandy’s age
Let _____ be Ben’s age
(x-4)
(x+4)
4x
-4x
38
Multiple Choice
Choose the appropriate answers(equation and expression) for the given problem.
Jose (x+6)=24, Equation: x+(x+6)=24
Jose (x-6)=24, Equation: x+(x-6)=24
Jose (x+24)=6, Equation: x+(x+24)=6
Jose (x-24)=6, Equation: x+(x-24)=6
39
Multiple Choice
Choose the appropriate answers(equation and expression) for the given problem.
Romina (x-4), Arriane's age 5yrs ago (x+5), Romina's age 5yrs ago (x-4+5 or x+1), Equation: (x+1)=2(x+5)
Romina (x-4), Arriane's age 5yrs ago (x-5), Romina's age 5yrs ago (x-4-5 or x-9), Equation: (x-9)=2(x-5)
Romina (x+4), Arriane's age 5yrs ago (x+5), Romina's age 5yrs ago (x+4+5 or x+9), Equation: (x+9)=2(x+5)
Romina (x+4), Arriane's age 5yrs ago (x-5), Romina's age 5yrs ago (x+4-5 or x-1), Equation: (x-1)=2(x-5)
40
Multiple Choice
Solve.
Twice the square of a number is 32. What is the number?
-2 & 2
-4 & 4
-8 & 8
-16 & 16
41
Multiple Choice
Solve.
The product of two consecutive even integers is 48. Find the numbers.
-8 & 6
-8 & -6
8 & -6
8 & 6
42
Multiple Choice
Solve.
Aby is 6 years older than Jonas. Six years ago, she was twice as old as he. How old is each now?
Jona's age is 6 and Aby's age is 12
Jona's age is 8 and Aby's age is 14
Jona's age is 10 and Aby's age is 16
Jona's age is 12 and Aby's age is 18
43
Multiple Choice
Solve.
A rectangular lawn is 2 meters longer than its width. The area of the lawn is 24 square meters. Find the length and width of the lawn.
W = 3m and L = 5m
W = 4m and L = 6m
W = 5m and L = 7m
W = 6m and L = 8m
44
Multiple Choice
Solve.
John’s father is twice as old as John. In 20 years, John will be two-thirds as old as his father. How old is each now?
John's age is 40 and Father's age is 60
John's age is 30 and Father's age is 50
John's age is 20 and Father's age is 40
John's age is 10 and Father's age is 30
Solving Word Problems Involving Factors of Polynomials
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