Solving Equations FunctionsAlgebra Vocabulary SlopeSystems of Equations The Equation of a Line $ 100...

Solving

Equations

Functions Algebra Vocabular

y

Slope Systems of

Equations

The Equation of a Line

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Solving Equations - 100

Solve for x in the equation below…

x + 8 =12

x = 4


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4x - 2 =18


x = 5




4x - 5 = 7x + 13


x = -6




½ x + 8 = 21.5


x = 27




.35x + 1.55 = 5.89 - .89x


x = 3.5


Functions - 100

True or False, the figure below is a function…


False!


Functions - 200

Provide the definition of a function by completing the phrase below…

“A function is a relation in which…”


Every x-value is paired with at most one y-value


Functions - 300

Which of the relations below is NOT a function?


Relation B)

-2

1

5

-3

2

-1

7

-3

X 4 8 9 6

Y 4 4 4 4

A) B) C)


Functions - 400

Use the function below to find…a) f(7) = __b) f(_) = 12

f(x) = 5x - 8


a) f(7) = 28

b) f(4) = 12


Functions - 500

For the function below, find the x-intercept and the y-intercept

f(x) = 9x - 3


x-intercept = 1/3 & y-intercept = -3


Algebra Vocabulary - 100

Define the term “y-intercept”


For a line, the y-intercept is the corresponding y-value when the x-value is equal to 0.



Define the term “inverse” in reference to a relation.


The inverse of a relation is another relation in which the x and y-values are switched.



When is “the elimination method” useful and briefly describe how to use it…


The elimination method is useful for solving a system of equations – especially when the equations are in standard form. We take two equations and combine the total x and y-values in an attempt to eliminate one variable. Then we solve the new equation, plug the value back in and find our solutions



Write the general form of a line two different ways:

1) Slope-intercept form2) Standard form


1) Slope-intercept form: y = mx + b

2) Standard form: Ax + By = C



The graph below shows a bathtub draining water. Each grid block represents 1 unit. What do the slope and y-intercept represent in the context of this graph?


The slope represents the speed that the tub is emptying. The y-intercept represents the number of liters of water the tub had when it was full.

Wat

er L

evel

Time in Minutes


Slope - 100

What is the slope of the line given by the equation y = 4x + 3?


m = 4


Slope - 200

What is the slope of the line given by the equation 6x + 3y = 12?


m = -2


Slope - 300

Describe “slope” in three different ways. You may use formulas as descriptions.


Slope is rate of change.

Slope is rise/run

Slope is Δy/Δx

m = y1 – y2

x1 – x2


Slope - 400

Find the slope of the line given by the table below.


m = 2/3 or .6667

X 6 9 12 15

Y 1 3 5 7


Slope - 500

What are the slopes of the two lines below?

JJΣθPARδYΣθPARδY!! MαthMαthA) ½ & B) - 1/3

A) B)


Systems of Equations - 100

Solve for x in the system below.

2x + y = 83x – y = 2


x = 2



Describe the number of solutions for each set of lines below.


A) Zero solutions

B) One solution

C) Infinite solutions

A) B) C)


Find the solution set below…

2x + 5y = 114x + 3y = 15


(3, 1)


Determine the number of solutions in the system below…

5x – 2y = 810x – 4y = 16


infinite


Find the solution to the system of equations below…

x = 9y - 82x = 4y + 12


(10, 2)

Equation of a Line - 100

What is the general equation of a line in slope-intercept form?


y = mx + b


What is the general equation of a line in standard form?


Ax + By = C


What is the equation of a line with a slope of 6 and passes through the point (0, -1)


y = 6x - 1


Find the equation of the line that passes through the points given in the table


y = ½x + 3

X 0 4 8 12

Y 3 5 7 9


What is the equation of a line passing through the points (4, 2) and (5, 7)?


y = 5x - 18

Solving Equations FunctionsAlgebra Vocabulary SlopeSystems of Equations The Equation of a Line $ 100...

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