1. 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

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

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

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

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

6. Solving Equations - 500 JΣθPARδY! Solve for x in the equation below…
.35x = x
Answer:
x = 3.5
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7. Functions - 100
True or False, the figure below is a function…
Answer:
False!
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Mαth

8. 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
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Mαth

9. 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)

10. 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
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Mαth

11. 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
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Mαth

12. 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:
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Mαth

13. 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:
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Mαth

14. 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:
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Mαth

15. 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:
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Mαth

16. 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
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Mαth

17. Slope - 100
What is the slope of the line given by the equation y = 4x + 3?
Answer:
m = 4
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18. Slope - 200
What is the slope of the line given by the equation 6x + 3y = 12?
Answer:
m = -2
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Mαth

19. 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:
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Mαth

20. 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
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Mαth

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

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

23. 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:
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Mαth

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

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

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

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

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

29. 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
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Mαth

30. 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
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Mαth

31. 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
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Mαth