Quadratics test review

Multiple Choice

What is one of the solutions to this equation?

(x - 3)² = 49

• 7

• -7

• -4

• 4

Multiple Choice

Find the missing value "c" to complete the square.

x² + 6x + ____

• 9

• 12

• 36

• - 9

Multiple Choice

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41
• X= 35 or 47
• X = −6 + √41 or  −6 − √41
• X = √35 or √47

Multiple Choice

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x
• the 9
• the x²

Multiple Choice

What is the first step to solve this quadratic equation by completing the square? $$x^2-10x+21\ =\ 0$$  

• Set the equation equal to zero

• Add  $$x^2$$  and  $$10x$$  together

• Divide 10 by 2 and add the result to both side

• Subtract the 21 from  both sides

Multiple Choice

When factoring $$x^2-10x+25\ =\ 49$$  
what goes into the blank   $$\left(x-\ldots\right)^2=49$$  

• 5

• 10

• 7

• 25

Multiple Choice

What could be the equation of this parabola?

• $$f\left(x\right)=\left(x-4\right)\left(x-1\right)$$

• $$f\left(x\right)=\left(x+4\right)\left(x+1\right)$$

• $$f\left(x\right)=\left(x+3\right)\left(x-6\right)$$

• $$f\left(x\right)=\left(x-3\right)\left(x+6\right)$$

Fill in the Blanks

For the following function, what is the discriminant?

$2x^2-3x+1=0$

Open Ended

Focus Question

How does the discriminant tell us the nature of quadratic equation solutions?

Multiple Choice

Which graph has a discriminant = 0?

• None of them
• Red
• Blue
• Green

Reorder

Reorder the following steps to solve a quadratic equation by using the quadratic formula.

• Make sure the equation is

  set equal to 0 and written

  in standard form.

  ax² + bx + c = 0

• Identify a, b, and c.

• Substitute these values

  into the formula

• Simplify using the order of operations

  (PEMDAS)

• Write the answer using curly braces in set notation

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Categorize

Options (9)

$$f\left(x\right)=x^2-3x-10$$  

$$\left(x+2\right)\left(x-5\right)$$  

$$f\left(x\right)=x^2+4x+4$$  

$$\left(x+2\right)^2$$  

$$f\left(x\right)=-x^2+6x-8$$  

$$-\left(x-2\right)\left(x-4\right)$$  

The solutions for a quadratic equation are given. Drag and drop the corresponding graph, factors, and standard form equations.

x=-2, x=5

x= -2

x=2, x=4

Draw

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

Fill in the Blanks

Solve the equation below by using the square root property, factoring, or by the quadratic formula. $x^2-6x+4=20$

Multiple Choice

Solve the equation (x+5)(x-10)=0

• {5, -10}
• x²-5x-50
• {-5, 10}
• no solution

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident