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Transcript
19. Elimination – by multiplying both equations:
a. Describe what you are to do for elimination by multiplication for both equations.
b. 4x + 2y = 8
3x + 3y = 9
20. Coin Story Problem:
- Ken has 25 coins in nickels and dimes only and has a total of $1.65. How many of
each coin does he have?
V.
Factoring
21.Factoring out the GCF:
a. What is a GCF and how does it apply to factoring?
b. 6x2y + 12xy2 +2x2y2
22.Factoring the Difference of squares:
a. What is difference of squares and how do you apply it to factoring?
b. 121 – 4b2
23.Trinomial with a leading coefficient is 1:
a. What is a leading coefficient?
b. How do you factor a trinomial with a leading coefficient is 1?
c. X2 + 17x + 42
24.Trinomial with a leading coefficient other than 1:
a. How do you factor a trinomial with a leading coefficient other than 1?
b. 5x2 + 13x + 6
c. 7x2 + 29x + 4
25. Factor by grouping
a. What does it mean to factor by grouping?
b. 16gh + 24g – 2h – 3
26. Factor more than once
a. What is meant by factor more than once?
b. 6x4 – 96
27. Zero Product property
a. What is the zero product property and how is it used?
b. (7x + 3)(2x – 6) = 0
28.Quadratic formula:
a. What is the quadratic formula?
b. 4x2 – 24x + 35 = 0 (leave answers as fractions)
c. 3x2 – 2x – 9 = 0 (answers to the nearest tenth)
VI.
Linear Equations
29. Find slope from a graph, table, two points, or equation:
a. Define slope.
b. What is slope’s ratio?
c. What are the four types of slopes? Draw a picture for each
d. graph
- How do you find slope given a graph?
- Use the graph to the right to find the slope.
e. table
- how do you find slope given a table?
- Use the table to the right to find the slope.
f. two points
- how do you find slope given two points?
- (-3,-1) and (2,-1)
g. From and equation
- How do you find slope from an equation?
ହ
- y=- x+2
ଷ
30. Find the x or y coordinate given slope.
a. Describe how you would achieve this concept
b. (x, 5) and (5, -6); slope = 11
31. Write a linear equation in slope intercept form from a point and slope or two points.
a. Describe how you would achieve this concept
b. Point and slope
(-6,5) and m = 2
c. Two points
(-4, 7) and (3, -1)