Chapter 9 Test Review

Presentation

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Mathematics

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12th Grade

•

Medium

•

CCSS

HSA.REI.A.2, HSA-REI.B.4B, HSA.APR.B.3

Standards-aligned

Jesus Barrientos

Used 5+ times

FREE Resource

6 Slides • 8 Questions

Chapter 9 Test Review

Solving with Square Roots

To cancel out a square root remember to square
Exponent of 2
Solve for x

Multiple Choice

$3\sqrt{-9x+7}=-12$ Solve for the only possible solution.

x = -5

x = 5

x = 3

x = -1

Multiple Choice

$3\sqrt{-9x+7}=-12$ Does your previous solution satisfy the equation?

Yes

Solving with Squares

When working with squares, cancel with square root
Remember that a square root will generate two roots

Multiple Select

Find all real solution of the following equation. Select all that apply.

$\left(x-4\right)^2-25=0$

x = 9

x = 13

x = -1

x = -5

Quadratic Formula

Standard Form
$y=ax^2+bx+c$
Find a,b, and c terms
Substitute into Quadratic Formula
$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Multiple Select

Use the Quadratic Formula to solve the following equation.

$x^2-5x-4=0$

$x=\frac{5+\sqrt{41}}{2}$

$x=\frac{5-\sqrt{41}}{2}$

$x=\frac{5-\sqrt{9}}{2}$

$x=\frac{5+\sqrt{9}}{2}$

Writing Equations

3 parts
Roots
Factors (from roots)
Multiplicity (Exponent)
Factors are written opposite of roots!
Example: If roots are -6, 5, -10, 4 write as....
(x + 6), (x - 5), (x + 10), (x - 4)

Multiple Select

Write a quadratic polynomial which has zeros at 9 and -4

(x - 9)

(x - 4)

(x + 9)

(x + 4)

Multiple Choice

Write a double root at -8

$2\left(x-8\right)$

$\left(x+8\right)^2$

$2\left(x+8\right)$

$\left(x-8\right)^2$

Key Features

Vertex (Max/MIn)
(x, y) x (axis of symmetry) y (value)
Axis of Symmetry x =
x-intercepts, solutions, roots, zeros
y-intercept

Multiple Choice

Determine the vertex of the function below.

(-7, 0)

(-1, 0)

(0, 7)

(-4, -9)

Multiple Choice

Is it a max or a min? And what is the max/min value?

Min: -4

Min: -9

Max: -4

Max: -9

Chapter 9 Test Review

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