Pre-Calculus Review: Equations and Formulas

Quadratic Equation:

Quadratic Formula:

Multiple Select

X intercepts are also called....

• Solutions

• Parabolas

• Roots

• Puppies

Multiple Choice

Given a graph, how can you find the "solutions" to a quadratic?

• Copy off neighbor

• Plug into calculator

• Solutions are where the quadratic crosses the x axis

• Magic 8 Ball

Multiple Choice

How many solutions do quadratics have?

• 2

• At least 2

• infinite

• 1

Multiple Select

What are the green dots called?

• roots

• vertex

• solutions

• x intercepts

Multiple Choice

What are the x- intercepts?

• (0,0) and (0,4)

• (0,0) and (4,0)

• y= 0

• x= 2

Multiple Choice

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

The standard form of a quadratic equation is ax²+bx+c

What are the values for a, b and c in the following quadratic equation?

3x²+5x-1

Multiple Choice

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3
*remember right side should =0

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Multiple Choice

Identify a, b, and c in: x²−6x+14

• a=3,b=5,c=9

• a=1,b=-6,c=14

• a=1,b=-6,c=-14

• a=1,b=6,c=14

Multiple Choice

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Distance Formula

Multiple Choice

How is the distance formula correctly written:

• $$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$$

• $$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$$

• $$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$$

• d = $$\sqrt{\left(x\right)^2-\ \left(y\right)^2}$$

Multiple Choice

A(3,1) B(-2,-1) written correctly is:

• $$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$$

• $$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$$

• $$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$$

• $$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$$

Multiple Choice

Find the distance between the points (4, 3) and (0, 6).

• 3

• 4

• 5

• 7

Point Slope Form

y-y₁= m(x - x₁)

y-y₁= m(x - x₁)

m= 2

(1, 6)

m is your slope

1 is your x value

6 is your y value

Plug in your values

y- 6= 2(x - 1)

Multiple Choice

m= 5

(2, 4)

• y - 2= 5(x - 4)

• y - 4= 5(x - 2)

• y- 5 = 4(x - 2)

• y - 2 = 4(x - 5)

Multiple Choice

Which of these represents point-slope form of a linear equation?

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

• y=kx

y - y₁= m(x - x₁)

When your COORDINATE has a negative value, you must change it to positive.

m=5

(-1, 2)

y - 2 = 5(x + 1)

Notice how at the end it was +1 because it was -1 as the x value.

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

• y + 1 = -3(x - 2)

• y + 1 = -3(x + 2)

• y - 1 = 3(x - 1)

• y + 2 = -3(x + 1)