Show:
2D
Slope
Solving systems by graphing
Solving systems by substitution
Extra Credit
100

What is name for the center of the coordinate plane?

the origin

100

The steepness of a line is measured by the ______.

Slope

100
What is the solution to Desmos graph #1?

(1, -2)

100

What is the first step when solving a system of equations by substitution?

Step 1: Solve one of the equations for either variable.

100

How many solutions does a system of parallel lines have?

zero solutions

Extra Credit: How many solutions does a system of intersecting lines have?

200

How many axes are there in a two-dimensional coordinate system?

two

200

If you are traveling on a line from left to right, and you are going uphill, the slope of that line is _________.

positive
200

In which quadrant is the solution to Desmos graph #1?

fourth quadrant

200

What is the second step when solving a system of equations by substitution?

Step 2: Plug in or “substitute” the value you solved for into the other equation. Then solve for the missing variable.

200

How many solutions does this system of equations have:

y = 2x + 1

3y = 6x + 3

infinitely many

Extra Credit: Give another example of a system of linear equations with infinitely many solutions.

300

Which letter of the alphabet is used to refer to the vertical axis?

y

300

What is the slope of the line y = -2x + 5 ?

negative two (-2)

300

What is the y-intercept of the equation 4x - 2y = 22 ?

(0, -11)

300

How do you verify your answer when solving by substitution?

You verify your answer by plugging the values from your solution into both original equations, simplifying, and checking for a true statement.
300

Give an example of a system of linear equations with two solutions.

It is impossible for a system of linear equations to have two solutions.

Extra Credit: This system has two solutions. Can you find them?

y = x^2

y = 4

400

What is the name for this format of describing a point: (x, y)

ordered pair

400

What is the slope of the line 2x - 5y = 40 ?

two fifths (2/5)

400

What is the x-intercept of the equation y = 2x + 8 ?

(-4, 0)

400

Solve this system by substitution:

y = -3

4x + 5y = 21

(9, -3)

400

What is the name of this form of a line:

y = mx + b

slope-intercept form.

Extra credit what is the name of this form:

Ax + By = C

500

What is another name for the coordinate plane?

cartesian plane

500

What is the slope of the line x = 4 ?

The slope is undefined.

500

Use Desmos.com/calculator to find the solution to this system of equations:

2x + y = 10

y = 3x - 5

(3, 4)

500

Solve this system by substitution:

5x - 2y = 26

y + 4 = x

(6, 4)

500

For whom is the cartesian plane named?

Rene Descartes

Extra Credit: What country is he from?

Bonus Extra Credit: What phrase is he famous for saying?

Super Bonus Extra Credit: What was his other primary area of study?