Mαth JΣθPARδY! JΣθPARδY! $ 100 $100 $200 $300 $400 $500 Mαth Solving Equations Functions Algebra Vocabulary Slope Systems of Equations The Equation of a Line $ 100 $100 $200 $300 $400 $500 JΣθPARδY! Mαth

Solving Equations - 100 JΣθPARδY! Solve for x in the equation below… Answer: x = 4 JΣθPARδY! Mαth

Solving Equations - 200 JΣθPARδY! Solve for x in the equation below… Answer: x = 5 JΣθPARδY! Mαth

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

Solving Equations - 400 JΣθPARδY! Solve for x in the equation below… Answer: x = 27 JΣθPARδY! Mαth

Solving Equations - 500 JΣθPARδY! Solve for x in the equation below… .35x + 1.55 = 5.89 - .89x Answer: x = 3.5 JΣθPARδY! Mαth

Functions - 100 True or False, the figure below is a function… Answer: False! JΣθPARδY! Mαth

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

Functions - 300 Which of the relations below is NOT a function? A) B) C) -2 1 5 -3 2 -1 7 X 4 8 9 6 Y JΣθPARδY! Mαth Answer: Relation B)

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

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

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

Algebra Vocabulary - 200 JΣθPARδY! 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. Answer: JΣθPARδY! Mαth

Algebra Vocabulary - 300 JΣθPARδY! 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 Answer: JΣθPARδY! Mαth

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

Algebra Vocabulary - 500 JΣθPARδY! 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? Answer: 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 JΣθPARδY! Mαth

Slope - 100 What is the slope of the line given by the equation y = 4x + 3? Answer: m = 4 JΣθPARδY! Mαth

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

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 Answer: JΣθPARδY! Mαth

Slope - 400 Find the slope of the line given by the table below. X 6 9 12 15 Y 1 3 5 7 Answer: m = 2/3 or .6667 JΣθPARδY! Mαth

Slope - 500 JΣθPARδY! What are the slopes of the two lines below? Mαth Answer: A) ½ & B) - 1/3

Systems of Equations - 100 JΣθPARδY! Solve for x in the system below. 2x + y = 8 3x – y = 2 Answer: x = 2 JΣθPARδY! Mαth

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

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

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

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

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

Equation of a Line - 200 JΣθPARδY! What is the general equation of a line in standard form? Answer: Ax + By = C JΣθPARδY! Mαth

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

Equation of a Line - 400 JΣθPARδY! Find the equation of the line that passes through the points given in the table X 4 8 12 Y 3 5 7 9 Answer: y = ½x + 3 JΣθPARδY! Mαth

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