Unit 6
What is the sector area if the radius is 7 in and the arc length is 140o?
Approximately 59.86 in2
Simplify: |5-3|+10
12
Answers vary, but will look like (x-x1)(x-x2)
Write an equation in factored form that has two
x-intercepts to the left of the y-axis
Answers vary, but will look likek (x+x1)(x+x2)
You are making a sandwich for your mom for Mother’s Day. You choose one item from each category to make the sandwich. How many different sandwiches can you make?
Bread | Meat | Cheese | Veggie
White | Turkey | American | Lettuce
Wheat | Ham | Cheddar | Tomato
Rye | Salami | Provolone | Onion
Bagel | Roast Beef | Swiss |
192 Sandwiches
A green cylindrical container of popcorn has a height of 22 centimeters and a radius of 10 centimeters. If the green container is full, will all the popcorn from the green cylindrical container fit into a new red container with a volume of 4850 cm3? SHOW WORK
No, there would be 6911 cm3 which would overflow
Given f(x)=|x|, describe in words the transformations performed on the graph of f(x) to get g(x)=2f(x+1)-3
Vertical Stretch by 2, shift left 1, shift down 3
Multiply and simplify: (2x-3)(x+3)
2x2+3x-9
Solve: x2+4x-21=0
x= -7, 3
Determine if the point (1,-2) is on the circle with the equation (x+2)2+(y-4)2=17. Show work to support your answer.
No, 45 does not equal 17
Find the exact arc length of an arc 165o with a radius of 4m
22/3 pi
Factor: 3x2-5x+2
(3x-2)(x-1)
Sketch the graph of a quadratic function that has been translated 2 units to the right and 6 units down from the parent function f(x)=x2. Label the coordinates of the vertex on your sketch.
Graph should be concave up and have its vertex at (2, -6)
Solve: 2x2+x=6
x= 3/2, -2
A bag contains 11 blue marbles and 12 yellow marbles. You randomly choose marbles from the bag without replacement. What is the probability that you will choose a blue marble first and then a yellow marble?
6/23
A soccer ball with a diameter of 15 inches needs to be inflated. Determine the approximate amount of air that could fit into the soccer ball rounded to the nearest hundredth.
1767.15 in3
Solve: |6-5x|-10=-9
x=1, 7/5
Given the parent function f(x)=x2, write an equation g(x) that represents a horizontal translation right, a vertical translation up, and a vertical compression of the parent function f(x).
Answers vary, but something like 1/3(x-5)2+4
Use the quadratic formula to find the Exact AND Approximate solutions to the equation: 5x2-7x=9
Exact: 10+sqrt(20)/20, 10-sqrt(20)/20
Approximate: 0.72, 0.28
Problem 18 from the Semester Study Guide
7/16, 19/24, 1/6
Given f(x)=(4/3)x-8 and g(x)=-2x3-5x, determine f(9)-g(-3)
-65
Solve the following inequality: 5|x+6|+7<22
x>-9 and x<-3
Solve the system:
y=x2-6x-6
y=x2-3x-12
(2, -14)
Solve the system:
y=x2-6x+8
y=-10x+8
(0, 8), (-4, 48)
Problem 20c on the Semester Study Guide
85/112