Name:__________________
Algebra, Period___________
Date:___________________
Algebra 1 Fall Final Review 4
Given the following tables, answer questions 1 – 6.
A.
B.
X
Y
-1
-2
-4
0
-4
-4
C.
X
Y
-4
-2
0
2
1
2
2
4
X
Y
-4
D.
X
Y
7
-2
4
0
7
0
1
8
2
7
2
-2
14
4
7
4
-5
1. Write the equations for all four tables.
A. ____________________B. ___________________C. ___________________ D. ___________________
2. Order the lines from steepest to flattest.
3. Which table shows a decreasing relationship? Which table shows an increasing relationship?
__________________
_____________________
4. Which line as an undefined slope? Which line has a zero slope?
__________________
_____________________
5. Which of the lines would have a y-intercept of 2?
_____________________
6. Which of the lines is horizontal? Which of the lines is vertical?
__________________
_____________________
7. Write an equation for a line that has a slope of
_____________________
and passes through the point (-8, 5).
8. Write an equation for a line that has a slope of -2 and a y-intercept of (0, 7).
_____________________
9. If a line contains the points (3, 1) and (9, -1), write all three forms (Slope-Intercept, Point-Slope Form, and
Standard Form).
Slope-intercept _______________________
Point-Slope __________________________
Standard_____________________________
10. Solve the compound inequality. Then graph your solution.
5 – x > 2 or 5 ≤ x – 7
Solution:____________________
Solve the following linear inequalities.
11. 6 – 2y ≥ 4x
12. x + y ≥ 2
13) Write the equations for the following system and state the solution.
Y1:_________________________________
Y2:_________________________________
Solution:_____________________________
14. Solve the following system by graphing.
y - 4x = -8
y = -2x + 10
Solution:___________________
Solve the following systems by substitution or elimination (your choice).
15)
2x + y = 0
3x + y = -4
Solution:_______________
16)
5x + 7y = 10
3x – 14y = 6
Solution:_______________
17) John has $2.35 in nickels and dimes. If he has 33 coins in all, find the number of nickels and dimes.
Answer:
Nickels =
Dimes =