Upload
jeffery-boone
View
222
Download
2
Embed Size (px)
Citation preview
Solving
Equations
Functions Algebra Vocabular
y
Slope Systems of
Equations
The Equation of a Line
$ 100 $100 $100 $100 $100 $100
$200 $200 $200 $200 $200 $200
$300 $300 $300 $300 $300 $300
$400 $400 $400 $400 $400 $400
$500 $500 $500 $500 $500 $500
JJΣθPARδYΣθPARδY!! MαthMαth
Mαth JΣθPARδY! was created by GradeAmathmathhelp.com
Mαth Mαth JΣθPARδY!JΣθPARδY!
Solving Equations - 100
Solve for x in the equation below…
x + 8 =12
x = 4
JJΣθPARδYΣθPARδY!! MαthMαth
Solving Equations - 200
Solve for x in the equation below…
4x - 2 =18
JJΣθPARδYΣθPARδY!! MαthMαth
x = 5
Solving Equations - 300
Solve for x in the equation below…
4x - 5 = 7x + 13
JJΣθPARδYΣθPARδY!! MαthMαth
x = -6
Solving Equations - 400
Solve for x in the equation below…
½ x + 8 = 21.5
JJΣθPARδYΣθPARδY!! MαthMαth
x = 27
Solving Equations - 500
Solve for x in the equation below…
.35x + 1.55 = 5.89 - .89x
JJΣθPARδYΣθPARδY!! MαthMαth
x = 3.5
Functions - 100
True or False, the figure below is a function…
JJΣθPARδYΣθPARδY!! MαthMαth
False!
Functions - 200
Provide the definition of a function by completing the phrase below…
“A function is a relation in which…”
JJΣθPARδYΣθPARδY!! MαthMαth
Every x-value is paired with at most one y-value
Functions - 300
Which of the relations below is NOT a function?
JJΣθPARδYΣθPARδY!! MαthMαth
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
JJΣθPARδYΣθPARδY!! MαthMαth
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
JJΣθPARδYΣθPARδY!! MαthMαth
x-intercept = 1/3 & y-intercept = -3
Algebra Vocabulary - 100
Define the term “y-intercept”
JJΣθPARδYΣθPARδY!! MαthMαth
For a line, the y-intercept is the corresponding y-value when the x-value is equal to 0.
Algebra Vocabulary - 200
Define the term “inverse” in reference to a relation.
JJΣθPARδYΣθPARδY!! MαthMαth
The inverse of a relation is another relation in which the x and y-values are switched.
Algebra Vocabulary - 300
When is “the elimination method” useful and briefly describe how to use it…
JJΣθPARδYΣθPARδY!! MαthMαth
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
Algebra Vocabulary - 400
Write the general form of a line two different ways:
1) Slope-intercept form2) Standard form
JJΣθPARδYΣθPARδY!! MαthMαth
1) Slope-intercept form: y = mx + b
2) Standard form: Ax + By = C
Algebra Vocabulary - 500
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?
JJΣθPARδYΣθPARδY!! MαthMαth
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?
JJΣθPARδYΣθPARδY!! MαthMαth
m = 4
Slope - 200
What is the slope of the line given by the equation 6x + 3y = 12?
JJΣθPARδYΣθPARδY!! MαthMαth
m = -2
Slope - 300
Describe “slope” in three different ways. You may use formulas as descriptions.
JJΣθPARδYΣθPARδY!! MαthMαth
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.
JJΣθPARδYΣθPARδY!! MαthMαth
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
JJΣθPARδYΣθPARδY!! MαthMαth
x = 2
Systems of Equations - 200
Describe the number of solutions for each set of lines below.
JJΣθPARδYΣθPARδY!! MαthMαth
A) Zero solutions
B) One solution
C) Infinite solutions
A) B) C)
Systems of Equations - 300
Find the solution set below…
2x + 5y = 114x + 3y = 15
JJΣθPARδYΣθPARδY!! MαthMαth
(3, 1)
Systems of Equations - 400
Determine the number of solutions in the system below…
5x – 2y = 810x – 4y = 16
JJΣθPARδYΣθPARδY!! MαthMαth
infinite
Systems of Equations - 500
Find the solution to the system of equations below…
x = 9y - 82x = 4y + 12
JJΣθPARδYΣθPARδY!! MαthMαth
(10, 2)
Equation of a Line - 100
What is the general equation of a line in slope-intercept form?
JJΣθPARδYΣθPARδY!! MαthMαth
y = mx + b
Equation of a Line - 200
What is the general equation of a line in standard form?
JJΣθPARδYΣθPARδY!! MαthMαth
Ax + By = C
Equation of a Line - 300
What is the equation of a line with a slope of 6 and passes through the point (0, -1)
JJΣθPARδYΣθPARδY!! MαthMαth
y = 6x - 1
Equation of a Line - 400
Find the equation of the line that passes through the points given in the table
JJΣθPARδYΣθPARδY!! MαthMαth
y = ½x + 3
X 0 4 8 12
Y 3 5 7 9
Equation of a Line - 500
What is the equation of a line passing through the points (4, 2) and (5, 7)?
JJΣθPARδYΣθPARδY!! MαthMαth
y = 5x - 18