Algebra 2 Summer 2014 Assignment Name: ______
CIRCLE YOUR FINAL ANSWERS. ALL WORK MUST BE SHOWN!!
1) Simplify 2) Simplify
3) Simplify 4) Simplify
5) Simplify 6) Simplify
7) Simplify 8) Solve
9) Solve 10)Solve
11) Solve 12) Solve
13) The formula for the volume of a cylinder is . Solve the equation for h. How tall is a cylindrical can with a radius 3 cm. and volume 200 ?
14) Find the value of for 15)Find the value of for
16) Find the value of for 17)Find the value of for
18) Find the value of for
Solve the equation for y.
19) 20)
Identify the domain and range of the function.
21)22)
x / y0 / -1
2 / 0
4 / 1
6 / 2
8 / 3
Domain: ______Domain: ______
Range: ______Range: ______
23) Graph 24) Graph
x-intercept = ______x-intercept = ______
y intercept = ______y–intercept = ______
slope = ______slope = ______
25) Graph 26) Graph
x-intercept = ______x-intercept = ______
y intercept = ______y–intercept = ______
slope = ______slope = ______
Solve the linear system by graphing.
27) 28)
Solution:______Solution:______
Solve the system by substitution or combination/elimination.
29) 30)
31) Graph 32) Graph
Vertex: ______Vertex: ______
Domain: ______Domain: ______
Range: ______Range: ______
33) Factor / 34) Factor35) Factor / 36) Factor
37) Factor / 38) Factor
39) Factor / 40) Factor
41) Factor / 42) Factor
Solve the following equations.
43) / 44)45) / 46)
47) / 48)
Simplify each expression completely.
49) / 50)51) / 52)
53) / 54)
55) / 56)
57) Tickets for the school play are $3 for students and $5 for non-students. On opening night 937 tickets are sold and $3943 is collected. How many tickets were sold to students? To non-students?
58) In 1990 a 4-function calculator cost $45. In 1995 a 4-function calculator cost $5. Find the average rate of change in the cost of calculators in dollars per year.
59)a. Find the slope from the graph.
b.Explain its meaning in a sentence.
c. Find an equation for the line.
60) Your school biology club is organizing a pancake breakfast to raise $400 for a trip to an aquarium. You decide to charge $2 for each child and $5 for each adult.
a)Write an equation to show the relationship between the number of people and the amount of money raised.
b)How many adult tickets would you have to sell in order to sell only adult tickets to raise the money for the trip?
c)How many child tickets would you have to sell in order to sell only child tickets to raise the money for the trip?
d)Graph the equation you came up with in part a.
e)How many adult tickets do you need to sell if you sold 45 child tickets?
61) Find the area of the triangle formed by the x-axis, the y-axis, and the line described by 3x + 2y = 18.
62)The height of a ball in meters is modeled by f(x) = 5x 2 + 50x, where x is the time in seconds after it is hit.
a)Graph the function.
b) How long is the ball in the air?
c) What was the maximum height of the ball?
d) How long did it take to reach the maximum height?
Find the dimensions of the following figures.
63)Area of rectangle = 51 square feet64) Area of triangle = 36 square feet
For each figure, find the probability that it will hit the unshaded region.
65) 66)
67)
Be sure you can simplify the following expressions without a calculator.
68) Simplify / 69) Simplify70) Simplify / 71) Simplify
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