Name ______
Cumulative Review - Algebra 1 – Mrs. McFadden
This assignment will be graded on accuracy. Show all work. You may use your notes, textbook and/or work with a partner to complete the assignment. Use a calculator!
1. Simplify:
A.
B.
C. 81
D. 243
2. Write the following numbers in order from least to greatest.
______
3. Evaluate the expression:
A.
B. 6
C. 10
D.
4. The drama club charges $16 for adult tickets and $9 for student tickets. On opening night, 300 adult tickets and 294 student tickets were sold. What is the closest estimate of the total amount of money paid for tickets on opening night?
A. $6,000
B. $7,500
C. $9,000
D. $15,000
5. Jayce bought 2 bath towels that cost x dollars each and returned 3 hand towels that cost y dollars each. His sister Nicole bought 3 bath towels and 3 hand towels. Jayce’s bill was $5. Nicole’s bill was $45. The system of equations shown below can be used to determine how the prices of a bath towel and a hand towel.
What is the value of x, the cost of a bath towel?
A. $10
B. $5
C. $40
D. $9
6. A polynomial expression is shown below.
The expression is simplified to . What is the value of m?
A. 2
B. 6
C. -6
D. -2
7. A polynomial expression is shown below.
The expression is simplified to . What is the value of m?
A. 3
B. 4
C. 5
D. 10
8. The number of cans Xavier recycled each week for eight weeks is listed below. The number of cans Xavier collected on week nine and week ten does not affect the mean, but the median for the ten weeks increased to 38 cans. How many cans did Xavier collect on the ninth week and on the tenth week?
24, 33, 95, 42, 35, 33, 65, 33
9. Charlotte has a rectangular picture that is 3 inches longer than the height, as shown in the diagram below.
h
h + 3
a.) Write a polynomial expression, in simplified form, that represents the area of the picture.
b.) Charlotte adds a 2-inch wide frame around all sides of the picture. Write a polynomial expression, in simplified form, that represents the total area of the canvas and the frame.
c.) Charlotte decides she needs a wider frame so she removes the 2-inch wide frame. She wants the total area of the picture and the new frame to be, where h represents the height of the picture. Determine the width of the new frame.