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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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!

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

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

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

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

Solving Equations Solve for x in the equation below….35x = x J ΣθPARδY ! Mαth x = 3.5

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

Functions 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

Functions Which of the relations below is NOT a function? J ΣθPARδY ! Mαth Relation B) X 4896 Y 4444 A) B) C)

Functions 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

Functions 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

Algebra Vocabulary 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.

Algebra Vocabulary 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.

Algebra Vocabulary 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

Algebra Vocabulary 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

Algebra Vocabulary 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

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

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

Slope 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

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

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

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

Systems of Equations 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)

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

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

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

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

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

Equation of a Line 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

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

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