Graphs
Algebraically
Definitions
Smarter than a 5th grader
Past Material
100

A coordinate point that makes an equation true is called a _____________.

Solution

100

When solving algebraically for the following system of equations, write the first step.

y=3x-1

y=-2x+9

3x-1=-2x+9

100

Name for plugging values back into the original equation?

Substitution 

100

Find the missing angle (x):

70

100

Determine the multiplier in the following table.


Multiplier: 3

200

How many solutions are represented by the graph of the equation y=x-2

Infinite solutions

200

Find the solution to the following equation:

4x+2=-2x-10

x = -2 

or 

(-2,-6)

200

When solving 2 or more equations, what do we look for on graphs to find solutions?

Intersecting points or intersection points, or connecting points.

200

What is the tallest mammal on Earth?

Giraffe

200

Determine the vertex using the following equation:

y= (x+2)^2-5

(-2,-5)

300

Identify the solution to both graphs.

(3,3) and (-2,-2)

or 

x=3 and x=-2

300

Find the solutions to the following equation:

(x-2)^2+3=28

x = 7 

and 

x= -3

300

What name is given to these types of functions (equations):

y=x^2-3x+9

Quadratic

300

How is sodium represented in the periodic table of elements?

a. So

b. S

c. Na

d. K

Na

300

Write the equivalent form (written as a product) for the following:

9x^2-100

(3x-10)(3x+10)

400

In what quadrants are the solutions to both graphs?



Quadrants 1 and 3

400

Find the solution algebraically for the following:

y=3x-1

y=-2x+9

x=2 

or

(2,5)

400

When solving the following equation, write the name for the first step.

(x+2)^2=9


Square both sides 

or

Multiply the left side using the box 

400

What is the area of a right triangle with a height of 4 and a width (base) of 8?

16

400

Completing the square, how how you write the vertex form represented by the following tiles?


y=(x+3)^2-2

500

Draw graphs that represent 0 solutions. 

Your graphs should not touch.

500

Find the solutions algebraically for the following systems of equations:

y=x^2+5x

y=-2x-10

x=-5

x=-2

500

What is the name for a solution that appears algebraically, but not on a graph. 

Extraneous solution
500

What type of species can live both on land and water?


amphipians 

500

Solve for x:

0.2x+1.2=2.8

x=8