Download Algebra 2 Unit 1 Problem Set

Algebra 2 Unit 1 Problem Set
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Name ______________________________ Bell ________ Due Date __________________
1. Solve.
a. 16x  15  5x  48
b.
51  3m  30  24m  7
2x  5
 3x  1
8
d.
8 x  3  4(2 x  1)
c.
2. Find three consecutive odd integers whose sum is 111.
3. Solve. Graph the solution set.
a.  2x  3  4
b.
43t  2  43  7t
c. 4w  1  3w or 12w  18  11w  15
d.
 9  2x  11  20
b.
 5 4 x  7  45
4. Solve.
a.
3x  1  4
5. Solve and graph the solution set.
a.
 2x  3  7  9
4 x  12  8
b.
6. A family built a house in a beach resort area. In 2000, the house was 430 feet from the
water. With erosion, the house was 400 feet from the water in 2010. Assuming a linear
relationship between the numbers of years since 2000 and the distance of the house from
the water, write an equation for y as a function of x. In what year will the house be only
250 feet from the water?
7. Write the equation of the line of best fit for the following data set.
1,2, 3,3, 3,3.75, 4,4, 5,3.25, 6,4.5
8. Solve for b.
s
abc
2
9. Solve for x. State any restrictions on the variables.
a. 12 x  4 y  20
b.
y
2z  x
4
10. Name the vertex for each of the following and describe the translation from the origin.
a.
y  x2 7
b.
y  3x  5  4
c.
y   2x  6  3
d.
y   x3 2
11. Describe the translation that takes the first function to the second function.
a.
y  x 1
y  x 5
b.
y  x 3
y  x4
c.
y  x3
y  x 1
d.
y  x 1 1
2 x  5 y  2
a. 
3x  5 y  22
b.
3x  2 y  4

4 x  3 y  5
2.3x  3.1y  17
c. 
4.1x  2.5 y  1.8
d.
5 x  6 y  25.8

3x  5 y  12.9
y  x2 2
12. Solve each system by elimination.
13. There were 450 tickets sold for the school play, some students and some adults. Ticket
sales totaled $2922. Student tickets cost $6 and adult tickets cost $9. How many of each
ticket was sold?
14. At Mathew’s Café two sandwiches and two sodas cost $17.80. Three sodas and five
sandwiches cost $40.60. Find the cost of each item.
15. At Renaldi’s Pizza, a soda and two slices of pizza cost $10.25. A soda and four pieces of
pizza cost $18.75. Find the cost of each item.
16. Graph each of the systems of inequalities on the coordinate planes provided.
y  x  5  3
a. 
 x  y  10
b.
x  4

y  x  6
 y   x  4  3
c. 
 y  x  1  3
d.
 y  2

y   x  3