Kevin’s Cards about 7th and 8th Grade Math Flashcards Preview

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Flashcards in Kevin’s Cards about 7th and 8th Grade Math Deck (118)
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1

What is the solution to a linear equation in 2 variables

A solution to a linear equation in 2 variables is a point: (x,y) or ordered pair

2

How many solutions does a linear equation in two variables have

Linear equations in 2 variables have infinitely many solutions and each solution is a point that lies on the same line as all the other solutions

3

Ax + By = C is what equation

Ax + By = C is a linear equation in 2 variables

4

How do you find the solution to linear equations with 2 variables

To find solutions to linear equations, chose a value for x, substitute the value into the equation , and solve for y. Do the same thing to solve for x with y

5

What is the standard form of a linear equation

The standard form of a linear equation is: Ax + By = C, where A,B, and C are integers, A is positive and B is non-zero

6

What is the names of the point of where a line crosses the x-axis and y-axis

The x-intercept of a graph is the x-coordinate of the point where the line intersects the x-axis. The y-intercept is the y-coordinate of the point where the graph intersects the y-axis

7

What is a Proportional Relationship

Proportional Relationships are a special type of linear equation when the ratio between two quantities is constant, the quantities have a proportional relationship

8

Rate Definition

A ratio of two quantities measured in different units

9

In a proportional relationship between two variables increases at a constant what

In a proportional relationship between two variables increases at a constant rate (also called a unit rate) as the other variable increases by one

10

Ratio Definition

A comparison of two quantities by division

11

A proportional relationship can be modeled as what

y = mx

12

When is the slope (m) on a graph positive

The slope (m) is positive if the line rises from left to right

13

When is the slope (m) on a graph negative

The slope (m) is negative if the line falls from left to right

14

What is the slope (m) on a graph equal to 0

The slope (m)is equal to 0 when the line is horizontal

15

What is a slope

The slope of a line is the ratio of the vertical change between any two point on the line to the horizontal change

16

What is another name for the vertical change and the horizontal change of a line’s slope

The vertical change is called the rise and the horizontal change is call the run

17

What is the format for the equation for slope

Vertical change/ Horizontal change or Rise/ Run

18

What directions do you move when moving in a positive or negative direction on a graph

When you move up or right you move in a positive direction. When you move down or left, you move in a negative direction

19

What is the Formula for Slope

y2 - y1/ x2 - x1

20

What is the slope of a vertical line on a graph

A slope is undefined if the line is vertical

21

What is a hypotenuse

The hypotenuse of a right triangle is the longest side of the triangle which is always opposite of the right angle (90 degrees)

22

Any two points on a line are what

Any two points on a line are the end points of a segment that, together with the rise and run, form a right triangle

23

What can the slope of the line tell you about the rate

The greater the slope of the line, the greater the rate. So when you compare lines, the line with the greater slope has the greater rate

24

What does the steepness of a line on a graph tell you

The steeper the line, the greater the slope

25

Each form of a linear equation communicates what

Each form quickly communicates specific information

26

What is the point - slope form of a line useful for

Communicating the slope of a line and one-point on the line

27

What is Point Slope Form

y - y1 = m(x - x1)

28

If a number is added in point-slope form what sign is it

It is negative

29

A proportional relationship can be modeled as what

y = mx

30

When a graph intersects the origin, you can do what to find the slope

Use any point to find the slope