
1/9 - EMHS Math 1 EOC Review Blitz Day 1 (Quadrartics)
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+11
Standards-aligned
Dalton Cooper
Used 38+ times
FREE Resource
5 Slides • 14 Questions
1
Day 1: Quadratic Expressions
2
Operations With Quadratic Expressions
Addition: Combine like terms. Re-write in descending order
Subtraction: Distribute Negative (Change to +, then Add)
Multiplication: Use a Diagram (i.e. Box Method)
Subject | Subject
Some text here about the topic of discussion
3
Multiple Choice
Mild: Which expression is equivalent to (x+2)(3x−3) ? NO CALCULATOR
3x2−6
3x2+3x−6
3x2+6x−6
3x2+9x−6
4
Multiple Choice
Medium: The perimeter of the triangle shown is 8x−6 .
Which expression represents the length of QR? Calculator OK
4x-4
4x-6
6x-4
6x-8
5
Multiple Choice
Spicy: A rectangle has a perimeter of 64.
-Let x equal the width of the rectangle
-Let y equal the area of the rectangle
Which equation could be used to find the area of the rectangle?
y=x2−64x
y=−x2+64x
y=x2−32x
y=−x2+32
6
Multiple Choice
Spicy: David has a rectangle and a right triangle.
• The length of the rectangle is 5 more than its width, w.
• The length of the shorter leg of the triangle is equal to the rectangle’s width.
• The length of the longer leg of the triangle is twice the length of the rectangle.
Which function, f(w), represents the combined area of the rectangle and the triangle? (Hint: Recall that ATriangle=21bh ) Calculator OK
f(w)=2w2+10w
f(w)=3w2+15w
f(w)=w2+10w+25
f(w)=w2+15w+50
7
Example: -4x2+14x-6
-2(2x2-7x+3)
-2(2x+1)(x+3)
Step
1.) Factor out GCF
2.) Draw Box and fill in x2 & constant
3.) Find factors of x2 term and constant that correctly add to x terms
Some text here about the topic of discussion
8
Multiple Choice
Mild: Factor p2 - 14p
p(1 - 14)
2p(p - 7)
p2(1-14)
p(p - 14)
9
Multiple Choice
Mild: Factor 25x2 - 81
(5x - 9)(5x + 9)
(5x - 9)(5x - 9)
(5x + 9)(5x + 9)
Cannot be factored
10
Multiple Choice
Medium: Factor k2 -2k - 24
(k+4)(k-6)
(k+4)(k+6)
(k+6)(k-1)
(k-4)(k+6)
11
Multiple Choice
Spicy: Factor 3x² + 5x - 12
(3x + 4)(x-3)
(3x - 4)(x + 3)
(3x + 3)(x -4)
(3x - 3)(x + 4)
12
Multiple Choice
Spicy: Factor 3x2 + 18x +15
3(x2 + 6x + 5)
(x + 5)(x + 1)
3(x + 5)(x + 1)
Prime
13
1.) Set equation equal to zero
2.) Re-write expression in factored form using a diagram
3.) Set factors equal to zero and solve w/ zero-product property
Without a Calculator
1.) Set equation equal to zero
2.) Graph isolated expression
3.) Solutions are the x-intercepts of the graph
With a Calculator
x2-4x+4=9
Some text here about the topic of discussion
14
Fill in the Blanks
Mild: What is the value of the positive zero defined by the function f(x)=x2−121 ? No Calculator
Enter the numeric value only; do not type x= or any other characters
Type answer...
15
Multiple Choice
Medium: What are the solutions to the equation 4x2−52x+169=121 ? Calculator Active
{1, -12}
{-1, 12}
{-1, -12}
{1, 12}
16
Fill in the Blanks
Spicy: What is the value of the smaller zero of the function f(x)=2x2−8x−24 ? No Calculator
Enter the numeric value only; do not type x= or any other characters
Type answer...
17
Some text here about the topic of discussion
x-intercepts: Intersect horizontal axis (solve f(x)=0)
y-intercept: Intersect vertical axis (plug in f(0))
Vertex: Maximum or minimum (find halfway b/n x-ints, then plug in x to find the y-value)
18
Multiple Choice
Mild: Which graph shows y=(4−x)(x+2) ? No Calculator
19
Fill in the Blanks
Medium: A company models its net income, in thousands of dollars, with the function f(x)=9x2−54x−144 , where x is the number of units of its product sold. How many units of its product does the company need to sell in order for the net income to equal $0? No calculator
Enter the numeric value only, do not type x= or any other characters
Type answer...
Day 1: Quadratic Expressions
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