Name:__________________
Date:___________________
Algebra, Period___________
Algebra 1 Midterm (Fall Semester Exam) Review Packet 1
Directions: Show all work!
1. Given the system
y = -x + 4
y=x+2
find the solution.
Solution:_______________
2. Ruben bought 2 cheeseburgers and 3 bags of fries for $16.50, not including tax. Chris bought 1 cheeseburger and 2
bags of fries for $9.50, not including tax. What was the cost of a bag of fries?
3. Mario has 18 coins in his pocket. Some are dimes and some are quarters. The total value of the coins is $3.30. How
many of each type of coin does he have?
4. Use the function rule f(x) = -12x + 5. Find f(-3).
5. If f(x) = -17, find x when f(x) = -7x – 3
6. Find f(3) – g(-2) if f(x) = -2x + 6 and g(x) = 7x – 11
Graph the function. Compare the graph with the graph of f(x) = x.
7. g(x) = x – 2
9. Solve the equation: 7x – 2(x – 4) = 3x + 12
!
8. h(x) = x
!
For numbers 10 and 11 write an equation or inequality.
10. The difference of 13 and the quotient of a number x and 3 is 32.
_____________________
11. Five more than three times a number c is at least sixteen.
_____________________
Using the following statements, box the dependent variable and underline the independent variable.
Label the independent variable “x” and the dependent variable “y”.
12. The number of students I have is a factor of how long it takes me to grade papers.
13. The amount of money I make at my job depends on the number of hours I work.
14. The volume of the audience’s applause is a measure of the performance’s success.
15. Today Scott sold twice as many shares of stocks at his brokerage firm as he sold last Friday. In the two days, he sold a
total of 144 shares of stocks. Write a system of equations that will determine f, the number of stocks sold last Friday, and
t, the number of stocks sold today. How many stocks were sold on Friday and today?
System:___________________ and ______________________
Friday (f):_____________
Today (t):_____________
Identify the correlation you would expect to see between each pair of data sets. Explain.
16. The volume of water poured into a container and the amount of empty space left in the container.
17. A person’s shoe size and the length of the person’s hair.
18. The outside temperature and the number of people at the beach.
19. Plot and label what the scatter plot would best look like given the following information.
a)
age of car and number of miles traveled
b)
age of car and number of states traveled to
20. Translate the verbal sentence into an inequality. Then solve the inequality.
The difference of 11 and c is at least -23.
Inequality:___________________
Solution:____________________
21. Solve the inequality, then graph it on the number line.
3(2x + 1) > -2(-6x – 3)
Solution:____________________
_____22. Which ordered pair is not in the solution for the inequality y ≤ -2x + 4?
A. (0, 0)
B. (-2, 3)
C. (5, -6)
D. (3, 5)
_____23. The owner of a bookstore recorded the following information from last week.
Number of customers, c
Amount of Sales, s
12
$80
18
$110
24
$140
30
$170
36
$200
42
$230
According to information in the table, which equation describes the relationship between the number of
customers and the amount of sales?
A. s = 6c + 30
B. s = c + 30
C. s = 5c + 20
D. s = 6c + 8
E. s =
!!!"
!
24. Given the system of equations:
y = 2x – 3
y = -2x + 13
Which table below shows the solution to this system?
A.
X
-1
0
1
2
3
4
5
Y1
5
4
3
2
1
0
-1
Y2
1
2
3
4
5
6
7
B.
X
4
5
6
7
8
9
10
Y1
-1
0
1
2
3
4
5
Y2
3
2
1
0
-1
-2
-3
C.
X
-7
-6
-5
-4
-3
-2
-1
Y1
-9
-8
-7
-6
-5
-4
-3
Y2
3
1
-1
-3
-5
-7
-9
D.
X
-1
0
1
2
3
4
5
Y1
-5
-3
-1
1
3
5
7
Y2
15
13
11
9
7
5
3