sheinpcp.weebly.com€¦  · Web viewManuel found a wrecked Trans Am that he could fix. He bought the car for 65% of the original price and spent $4680. What was the original price

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SWBAT determine if a point is a solution given an equation or a graph

1. Determine if the following points are solutions to y = 2x2 – 3x + 8a) ( -1 , 9 )

b) ( 0 , 8 )

c) ( ½ , 7 )

2. Determine if the following points are solutions to y = - ½ x + 2a. ( 2 , 4 )

b. ( 3 , - ½ )

c. (2 , 0 )

3. Determine if the following points are solutions to y = -|3x -2| +1a. ( 1 , 0 )

b. ( 0 , 3 )

c. ( -1 , 6 )

4. Determine if the following points are solutions to y = 2x3 -1a. ( -2 , 15 )

b. ( -3 , -55 )

c. ( ½ , -3/4 )

5. Determine if the following points are solutions to the graph below

a. ( 0 , 3 )

b. ( 1 , 2 )

c. ( ½ , ½ )

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SWBAT sketch a graph of an equation with an x/y table

1. Sketch a graph for the equation by determining at least 5 solutions and plotting the solutions

2. h for the equation 3 3. Sketch a graph of y=x3 -2x2 – 4x + 8

x Y

-3

0

-1

0

1

2

3

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Determine which equation matches the given table of values

R = ___________

S = _____________

Q = _____________

T = _____________

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SWBAT simplify radical expressions

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RATIONALIZING RADICAL EXPRESSIONS

Example 2.

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Study Rotations 1.2

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SWBAT calculate x and y intercepts from equations of graphs

Give 2 other names for x-intercept: ______________________________, _____________________________

Determine x and y intercepts for the following equations. Write as coordinate points:

1. y = - ½ x + 2 zeroes: __________________________ y-intercepts: _____________________

2. y = -|3x -2| +1 roots: __________________________ y-intercepts: _____________________

2. y = (x+2)2 – 4 x-intercepts: ________________________ y-intercepts: __________________

3. y2 = x + 9 zeroes: __________________________ y-intercepts: _____________________

Determine x and y intercepts based on graph

zeroes: _______________________ y-intercepts: ___________________

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zeroes: _______________________ y-intercepts: ___________________

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SWBAT recognize an equation for a circle and identify center and radiusSWBAT determine the equation of a circle given

1) center and radius2) endpoints of a diameter3) center and a solution (point on the circle)

Remember….For the circle equation you need 1) coordinates of the center and 2) length of the radius.

center: ( h , k ) ; radius: r

Give the center and radius given the equation.

1. x2 + y2 = 16 Center: ________________________________ Radius:___________________________

2. (x-2)2 + (y+3)2 = 25 Center: ____________________________ Radius:________________________

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3. (x+8)2 + (y+4)2 = 18 Center: _____________________________ Radius:_______________________

4. (x+2)2 + (y-8)2 = 20 Center: _____________________________ Radius:________________________

Give the equation of the circle given the following attributes.

1. Endpoints of the diameter: (-4 , 0 ) ( 4 , 0 ) Equation: _________________________________

2. Endpoints of the diameter: ( -5 , 2 ) ( 3 , 6 ) Equation: _________________________________

3. Endpoints of the diameter: ( 1 , 2 ) ( -3 , 4 )Equation: _________________________________

4. Center: (-1 , 4) Point on the circle: ( 2 , -2 ) Equation: _______________________________

5. Center: (7 , 5) Solution: ( 3 , -2) Equation: _________________________________

6. Center: ( 0 , 0) Point on the circle: ( -1 , -4 ) Equation: _________________________________

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SWBAT sketch a graph of a circleSWBAT determine if a point is on, inside or outside of a given circle

1. Sketch the graph of the circle (x + 2)2 + (y-4)2 = 16

2. Sketch the graph of the circle (x - 4)2 + (y + 3)2 = 9

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3. Determine if the following points are on, inside, or outside the circle given by (x+1)2 + (y-4)2 = 100?

a. (-7, 12) _______________________________

b. (10,5) _______________________________

c. (4, 9) _______________________________

4. Determine if the following points are on, inside, or outside the circle given by (x-2)2 + (y-3)2 = 25?

a. (-3, 2) _______________________________

b. (-5,-1) _______________________________

c. (0, -2) _______________________________

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5. SWBAT solve percent word problems

1. There are 28 students in a class. Sixteen of the students are men. What percent are women?

2. A metal bar weighs 8.15 ounces. 93% of the bar is silver. How many ounces are not silver?

3. A student answered 86 problems on a test correctly and received a grade of a 98%. How many problems were on the test if all the problems were worth the same number of points?

4. Manuel found a wrecked Trans Am that he could fix. He bought the car for 65% of the original price and spent $4680. What was the original price of the car?

5. Kat is studying the production of peaches. She noticed trees in the garden produced 30% more trees than the wild trees in the forest. Based on Kat’s observations, if the garden trees produced 200 peaches, how many peaches did the wild forest trees produce?

6. If 9 is x percent of 45, what is x percent of 50?

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7. When y is decreased by 10% it is equal to 15% of x. Assuming both x and y are nonzero, what is the ratio of x to y?

8. A square cube has a volume of 120 cubic centimeters. If the side of the cube is reduced by 20%, by what percent will the volume decrease?

9. A cylinder has a volume of 300 cubic centimeters. If the radius is reduced by 10% and the volume is increased by 20%, by what must the height increase?