Algebra 2
Partner Problems
Name __________________________
Date _____________________ Hr ___
We will be having a test on Tuesday, October 19 over the material we have covered so far.
Below you will find a mixture of Learning Targets. Working with a partner, each of you
needs to pick a column to do. Partner 1 will do column A, Partner 2 will do column B. While
the problems themselves are different, the final answer to the problem is the same. Check
your answer with your partner. If you get different answers, work together to find the error.
Column A
Column B
1.
Simplify:
2
1
(18m  6 p)  (12m  4 p)
3
4
Simplify:
1
3
(27m  9 p )  (8m  8 p)
3
4
2.
Solve:
12( x  12)  9(1  7 x)
Solve:
4 k  2(5k  6)  3k  39
3.
Simplify. Let b = -8
2b  1  8b  5
Simplify. Let b = -4
2b  5  15b  5
4.
Solve. Remember there will be 2 answers!
4 2y  7  5  9
Solve. Remember there will be 2 answers!
54 y  14  8  2
5.
Solve. Write answer in interval notation:
9(2 x  5)  3  7 x  4
Solve. Write answer in interval notation:
4n  5(n  3)  3n  1
6.
Solve. Write answer in interval notation:
8  3y  20  52
Solve. Write answer in interval notation:
y
11   13  1
2
7.
Solve. Remember there will be 2 answers!
8 2v  2  30
Solve. Remember there will be 2 answers!
3 7r  8  50
8.
Find g(-1) if g(x) = -3x2 + 9x
Find g(-2) if g(x) = 2x – 2x2
9.
Write in standard form:
5
y  x  10
3
Write in standard form:
3
x  y6
5
10. Find the domain and range for the graph:
Find the domain and range for the graph:
11. Write the equation of the line in slopeintercept form that has a slope of 3 and
passes through the point (1, -3)
Write the equation of the line in slopeintercept form that has a slope of 3 and
passes through the point (2, 0)
12. Write the equation of the line in slopeintercept form that is perpendicular to the
line y = -4x + 1 and passes through the
point (-8, -1)
Write the equation of the line in slopeintercept form that is perpendicular to the
line y = -4x + 1 and passes through the
point (12, 4)
13. Write the equation of the line in slopeintercept form that is parallel to the line
y = ½ x – 1 and passes through the point
(-4, 3)
Write the equation of the line in slopeintercept form that is parallel to the line
y = ½ x – 1 and passes through the point
(6, 8)
14. Solve:
3x + 5y = 50
-2x + y = -3
Solve:
-2x + 6y = 32
-5x + 3y = -4
15. Solve:
4x – 5y = -7
-2x + 7y = -1
Solve:
x – 4y = 1
7x – 2y = -19
16. Solve using a matrix:
3x + 2y + 4z = -5
x – 3y – 6z = -9
-x + 7y + 8z = 32
Solve using a matrix:
5x + y – 2z = -3
-3x + 4y + 4z = 27
-2x – y – 6z = 14
17. Graph the lines below. Determine if they
are independent, dependent, or
inconsistent.
2x – y = 6
x + 2y = -2
Graph the lines below. Determine if they
are independent, dependent, or
inconsistent.
3x + y = 4
x–y=4
18. Given the data below, find a regression
equation and predict for x=15.
x
5
10
20
25
35
40
y
9
17
22
30
38
44
Given the data below, find a regression
equation and predict for x=10.5.
x
1
3
4
6
7
8
y
1
5
7
11
12
15
19. Graph:
x2
y 4
x
Graph:
x2
y 4
x
R
|S
|T
if (-, -1)
if [0, 2)
if [2, )
R
|S
|T
if (-, -1)
if [0, 2)
if [2, )