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Solving Equations FunctionsAlgebra Vocabulary SlopeSystems of Equations The Equation of a Line $ 100 $200 $300 $400 $500 J ΣθPARδY ! Mαth math Mαth JΣθPARδY!

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Presentation on theme: "Solving Equations FunctionsAlgebra Vocabulary SlopeSystems of Equations The Equation of a Line $ 100 $200 $300 $400 $500 J ΣθPARδY ! Mαth math Mαth JΣθPARδY!"— Presentation transcript:

1 Solving Equations FunctionsAlgebra Vocabulary SlopeSystems of Equations The Equation of a Line $ 100 $200 $300 $400 $500 J ΣθPARδY ! Mαth math Mαth JΣθPARδY! was created by GradeAmathhelp.com Mαth JΣθPARδY!

2 Solving Equations - 100 Solve for x in the equation below… x + 8 =12 x = 4 J ΣθPARδY ! Mαth

3 Solving Equations - 200 Solve for x in the equation below… 4x - 2 =18 J ΣθPARδY ! Mαth x = 5

4 Solving Equations - 300 Solve for x in the equation below… 4x - 5 = 7x + 13 J ΣθPARδY ! Mαth x = -6

5 Solving Equations - 400 Solve for x in the equation below… ½ x + 8 = 21.5 J ΣθPARδY ! Mαth x = 27

6 Solving Equations - 500 Solve for x in the equation below….35x + 1.55 = 5.89 -.89x J ΣθPARδY ! Mαth x = 3.5

7 Functions - 100 True or False, the figure below is a function… J ΣθPARδY ! Mαth False!

8 Functions - 200 Provide the definition of a function by completing the phrase below… “A function is a relation in which…” J ΣθPARδY ! Mαth Every x-value is paired with at most one y-value

9 Functions - 300 Which of the relations below is NOT a function? J ΣθPARδY ! Mαth Relation B) -2 1 5 -3 2 7 -3 X 4896 Y 4444 A) B) C)

10 Functions - 400 Use the function below to find… a) f(7) = __ b) f(_) = 12 f(x) = 5x - 8 J ΣθPARδY ! Mαth a)f(7) = 28 b)f(4) = 12

11 Functions - 500 For the function below, find the x- intercept and the y-intercept f(x) = 9x - 3 J ΣθPARδY ! Mαth x-intercept = 1/3 & y-intercept = -3

12 Algebra Vocabulary - 100 Define the term “y-intercept” J ΣθPARδY ! Mαth For a line, the y-intercept is the corresponding y-value when the x-value is equal to 0.

13 Algebra Vocabulary - 200 Define the term “inverse” in reference to a relation. J ΣθPARδY ! Mαth The inverse of a relation is another relation in which the x and y-values are switched.

14 Algebra Vocabulary - 300 When is “the elimination method” useful and briefly describe how to use it… J ΣθPARδY ! Mαth 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

15 Algebra Vocabulary - 400 Write the general form of a line two different ways: 1) Slope-intercept form 2) Standard form J ΣθPARδY ! Mαth 1)Slope-intercept form: y = mx + b 2) Standard form: Ax + By = C

16 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? J ΣθPARδY ! Mαth 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. Water Level Time in Minutes

17 Slope - 100 What is the slope of the line given by the equation y = 4x + 3? J ΣθPARδY ! Mαth m = 4

18 Slope - 200 What is the slope of the line given by the equation 6x + 3y = 12? J ΣθPARδY ! Mαth m = -2

19 Slope - 300 Describe “slope” in three different ways. You may use formulas as descriptions. J ΣθPARδY ! Mαth Slope is rate of change. Slope is rise/run Slope is Δy/Δx m = y 1 – y 2 x 1 – x 2

20 Slope - 400 Find the slope of the line given by the table below. J ΣθPARδY ! Mαth m = 2/3 or.6667 X 691215 Y 1357

21 Slope - 500 What are the slopes of the two lines below? J ΣθPARδY ! Mαth A) ½ & B) - 1/3 A)B)

22 Systems of Equations - 100 Solve for x in the system below. 2x + y = 8 3x – y = 2 J ΣθPARδY ! Mαth x = 2

23 Systems of Equations - 200 Describe the number of solutions for each set of lines below. J ΣθPARδY ! Mαth A)Zero solutions B)One solution C)Infinite solutions A)B)C)

24 Systems of Equations - 300 Find the solution set below… 2x + 5y = 11 4x + 3y = 15 J ΣθPARδY ! Mαth (3, 1)

25 Systems of Equations - 400 Determine the number of solutions in the system below… 5x – 2y = 8 10x – 4y = 16 J ΣθPARδY ! Mαth infinite

26 Systems of Equations - 500 Find the solution to the system of equations below… x = 9y - 8 2x = 4y + 12 J ΣθPARδY ! Mαth (10, 2)

27 Equation of a Line - 100 What is the general equation of a line in slope-intercept form? J ΣθPARδY ! Mαth y = mx + b

28 Equation of a Line - 200 What is the general equation of a line in standard form? J ΣθPARδY ! Mαth Ax + By = C

29 Equation of a Line - 300 What is the equation of a line with a slope of 6 and passes through the point (0, -1) J ΣθPARδY ! Mαth y = 6x - 1

30 Equation of a Line - 400 Find the equation of the line that passes through the points given in the table J ΣθPARδY ! Mαth y = ½x + 3 X 04812 Y 3579

31 Equation of a Line - 500 What is the equation of a line passing through the points (4, 2) and (5, 7)? J ΣθPARδY ! Mαth y = 5x - 18


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