Download Algebra 2 Name Period ____ Review 3.1-3.2 and 1.3

Algebra 2
Review 3.1-3.2 and 1.3-1.5
Name __________________________ Period ____
1.
Write the general equation for slope-intercept form.
2.
Write the general equation for standard form.
Graph the equations using slope-intercept form.
3.
y  3x  4
4. y 
3
x2
4
Graph the equations using intercepts. DON’T SOLVE FOR Y!! Give the ordered pairs for the intercepts!
5. 3x + 4y = –12
6. 5x – 3y = 30
Solve the linear system by graphing.
7.
2 x  y  5
3x  3 y  6
2
x
8.
3
2x  3y  6
y
Which ordered pairs are solutions of the system?
9.
Write an equation for the line given below. Also,
state the slope of the line.
4 x  3 y  19
10.
5 x  7 y  27
A. (–7, –3)
B. (–4, 1)
C. (2, 5)
Solve the system using the substitution method.
11.
2x  3 y  5
x  5y  9
12.
Solve the system using the elimination method.
13.
3x  2 y  6
6 x  3 y  6
14.
3x  y  11
5 x  2 y  16
4 x  10 y  20
3x  4 y  15
Solve the system using the method of your choice. (Do one with substitution and one with elimination.)
15.
2 x  y  6
4x  2 y  5
16.
 x  5 y  17
2 x  10 y  34
17. Austin has $20 in his savings account and he saves $20 per week.
Marissa has $260 in her savings account, but she spends $20 per week.
a.
Write and graph a system of equations to determine
when Austin and Marissa will have the same amount
in their savings accounts.
b.
Interpret your solution.
18. John has a total of nine stamps, which consist of 25 cent and 2 cent stamps. His stamps have a value of
$1.10. How many of each stamp does he have? Write and solve a linear system to answer the question.
19. A caterer is planning a party for 64 people. The customer has $150 to spend. A $39 pan of pasta feeds
14 people and a $12 sandwich tray feeds 6 people. How many pans of pasta and how many sandwich
trays should the caterer make? Write and solve a linear system to answer the question.
Solve the equation or inequality. (1.3-1.5)
20. 5w + 4(2 – 3w) = 16 – 15w
21.
3
2 5
x 
4
3 6
22. 11 – 5x ≥ –3(3 + x)
23. 4  5  2x  3
Solve the absolute value equation or inequality.
24.
2
x  2  10
3
25. 4 3x  5  2  30
26. 2 x  7  11
27. 5 3x  7  4  29
Solve for the indicated variable. List any restrictions on the variables.
1
3
28. Solve for h: V   r 2 h
29. Solve for L: T = m(L – 21)
30. Beth and Bill leave the outlet mall at the same time and travel in opposite directions. Bill travels at a
rate of 60mph and Beth travels at a rate of 70mph. After how many hours will they be 325 miles apart?