Single Variable Equations
Linear Equations
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Quadratics Standard Form
Quadratics Vertex Form
100

Solve for x.

x + 27 = 4x

x + 27 = 4x

27 = 3x

9 = x

100

Define slope.

The slope is a number that describes both the direction and the steepness of the line.

100

2(2+3)2 = ?

2(2+3)2 = 2(5)2 = 2(25) = 50

100

Expand the equation y = (x+3)(x-4)

y = x2 + 3x - 4x - 12

y = x2 - x - 12

100

What is the vertex form?

y = a(x-h)2 + k

200

Solve for x.

x2 - 3 = 33

x2 - 3 = 33

x2 = 36

x = 6

200

Define y-intercept.

The y-intercept is the y value at which a line hits the y axis.

200

In a word problem, is x the dependent or independent variable?

x is the independent variable

200

Solve 0 = (x+4)(x-2)

x = -4 and x = 2

200

What happens to our parabola when we change the h value?

How much our parabola shifts left or right.

300

Solve for x.

3(2x - 5) = 3(x + 10) + 15

3(2x - 5) = 3(x + 10) + 15

6x - 15 = 3x +45

3x = 60

x = 20

300

What is the equation of a line? Describe it.

y = mx + b

m is the slope

b is the y-intercept

300

Using the whiteboard, draw the graph for y = -(x-4)2

There is only one x-intercept at x=4.

The parabola is facing down.

300

What are two methods you can use to solve
0 = x2+8x+16 ?

1. Box Method

2. Quadratic Formula

300

What happens to our parabola when we change our k value?

Our parabola shifts up or down.

400

Solve for x.

(-2x)2 = 36

(-2x)2 = 36

4x2 = 36

x2 = 9

x = 3

400

Using the whiteboard function, graph y = 2/3x - 4.

The slope is 2/3

The y-intercept is -4

400

The monkey has 3 bananas. Everyday the monkey collects 2 more bananas. How many bananas does the monkey have after a week of collecting bananas?

y = 2x + 3

y = 2(7) + 3
y = 17 bananas

400

Factor the equation y = x2 + x - 30.

y = (x+6)(x-5)

400

How do you find the vertex of a parabola given the equation y = a(x-h)2+k

The vertex is (h,k).

500

Solve for x.

x2 - 4x + 2 = 2x2 - 2(2x+7)

x2 - 4x + 2 = 2x2 - 2(2x+7)

x2 - 4x + 2 = 2x2 - 4x - 14

16 = x2

4 = x

500

How do you find the slope if you are given a graph of a line?

Pick two points and calculate rise/run.

500

What is the quadratic formula?

x = (-b +\- sqrt{b2 - 4ac})/(2a)
500
Describe how you'd find the equation in the form y = ax2 + bx + c if given a graph of a parabola.

1. Find the x-intercept(s)

2. Use the form y = (x+_)(x+_)

3. Use the foil method to get y = ax2 + bx + c 

500

What happens when you change the a value of a parabola? Hint: two things happen

1. The positive/negative sign determines if our parabola is facing up or down

2. If |a| < 1, our parabola is wider
If |a| > 1, our parabola is skinnier

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