Algebra 1
1st Quarter
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Problem Sets
2015 – 2016
Problem sets are due according to the schedule below.
You may work together on problem sets, or you may come in early before school and ask the
teacher for help. Use your textbook and notes to help you.
ALL WORK MUST BE SHOWN, or you will receive no credit!
Students are not allowed to ask for help on the day the problem set is due!!! Students
also must have work to show the teacher before asking for help (show that you tried).
The primary purpose of the problem sets is to reinforce the spiral approach of mathematics,
reviewing material learned last year, last month, last week, and to prepare for the upcoming
SOL.
You may turn in problem sets early for 2 points extra credit! Early means at least 1 day early.
So if a problem set is due Thursday, turning it in Tuesday or Wednesday would give you 2
points extra credit!
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No extra credit will be given if you do not score
. Check your answers – accuracy is VERY
10
important!
You may make corrections and turn in problem sets for a re-grade, but all work MUST be
shown. Scores may increase to the maximum of 80%. There is a one-week time limit for
redos on problem sets from the time the problem set is passed back.
Problem
Due Dates
Set #
A Day
1
(Only for
those who
Wednesday, September 9th
did not turn
in Summer
Assignment)
Due Dates
B Day
Thursday, September 10th
2
Monday, September 21st
Tuesday, September 22nd
3
Monday, October 5th
Tuesday, October 6th
4
Tuesday, October 20th
Wednesday, October 21st
REMEMBER – Problem sets are due at the beginning of class!
NO WORK = NO CREDIT.
Algebra 1
Problem Set #4
Name:_________________________ Period:____________ Date Turned in:_________
1st Quarter
NO WORK = NO CREDIT
Directions: To receive full credit, show all work when necessary and place answers in the blanks provided.
Questions 1-5: Simplify by combining like terms. If you cannot simplify the expression – write SIMPLIFIED.
1) 3y + 12y
1) ________________
2) 7x + 5 – 3x
2) ________________
3) 5xy2 + 10x2y – 2x
3) ________________
4) 6x4 + 4 – 7x2 + 3x4 – 3
4) ________________
5) 7 – (– 4b) – 7b – 5
Questions 6-10: Distribute and simplify (by combining like terms where possible).
5) ________________
6) 4(3x – 7)
6) ________________
7)
1
3
(6y + 3)
7) ________________
8) -2(3a – 5) + 2a
8) ________________
9) 3x + 4(-2y + 3x) + 8y
9) ________________
𝟏
10) x(2y + 7) + 𝟓(10y + 5x)
10) _______________
Algebra 1
Name:_________________________ Period:____________
1st Quarter
Problem Set #3
Date Turned in:_________
NO WORK = NO CREDIT
Directions: To receive full credit, show all work when necessary and place answers in the blanks provided.
Evaluate:
2
5
5
1) 8 7 - 114
1
2) - 4 + 2 + 12 + (-8)
1) ________________
1
1
5
3) - 4 2 • 2 12
2
2) ________________
4) - 6 ÷ - 3
3) ________________
5) Evaluate
𝑦+𝑟𝑠
𝑥−𝑧
if x=5, y=8, z=1, r = 6 and s = - 2.
4) ________________
6) Evaluate the expression:
x2 + 4x + 8
if x = -4
7) Which of the following numbers is NOT rational?
1
A) 4
B) – 3
C) √2
Evaluate the following expressions:
8)
5) ________________
6) ________________
D) 1.5
7) ________________
4(5+(−3))
−22
8) ________________
9) [-3(2 - 6) + (-12) ]3 – [7 • (- 8) + 42]
9) ________________
10) _______________
10)
15(6+9)
(2+1)(2−1)
Algebra 1
Name:_________________________ Period:____________
Problem Set #2
1st Quarter
No Work = No Credit
Date Turned in:_________
Use the box-and-whisker plot below to answer questions 1 – 5:
1) ____________
2) _____________
3) _____________
1)
What is the value of the inter-quartile range for the data?
2) What is the value of the range for the data?
3)
4) _____________
What percent of the data falls between 10 and 22?
4) What percent of the data falls between 10 and 34?
5) _____________
5) What is the value of the median for the data?
6) _____________
For questions 6-10, use the following data set:
{29, 22, 35, 40, 27, 9}
6) Is there an outlier in the data set? If so, what value is it? (Use your calculator!)
7) _____________
7)
Calculate the MAD of the data set. (SHOW YOUR WORK!)
8) _____________
9) _____________
8) What is the standard deviation of the data set?
10) ____________
9) The z-score for an element in a data set is -1. The mean of the data is 10 and the standard
deviation for the data is 5. Find the data element.
10) If the mean of a data set is 37 and the standard deviation is 2.1, find the z-score for an
element that has a value of 32.
Algebra 1
Name:_________________________ Period:____________
Problem Set #1
1st Quarter
No Work = No Credit
Date Turned in:_________
Show work – do not use a calculator!
Directions: To receive full credit, show all work and place answers in the blanks provided.
1) Simplify: (-7) – (-4)
1) ____________
2) Simplify: -12(5)
2) _____________
3) Simplify:
4
2  (3 )
5
4) Simplify the expression: 3(2 + 5) - 8 7
3) _____________
4) _____________
5) _____________
5) Evaluate the expression given that b = 3, c = 6, and c = 12:
bc - d
6) _____________
7) _____________
7) Solve the equation: x – (-1) = 12
6) Simplify: 7x +2 + 3x – 18
8) _____________
8) Solve the equation:
x
 8  12
2
9) _______
10)
_____________
9) Identify the property: 5 + (-5) = 0
A) Inverse Property of Addition
B) Identity Property of Addition
C) Commutation Property of Addition
D) Associative Property of Addition
10) Translate the verbal phrase into an expression:
Twice a number increased by 5.
Algebra 1
Name:_________________________ Period:____________
Problem Set #1
2nd Quarter
Date Turned in:_________
Directions: To receive full credit, show all work and place answers in the blanks provided.
NO WORK = NO CREDIT
All work for 1-8 should be on a separate piece of paper stapled to this paper!
Questions 1 – 6: Solve the equations and check your solutions.
1) -3x + 4 = 13
2) -15y + 5y = -40
1) ________________
2) ________________
3) 1 xm - 5 = -19
7
4) 6n - 7 = -3n - 25
3) ________________
4) ________________
5) -2(4s - 3) = -5s + 9
6) 7(t - 6) + 2t = -3 + 6t
5) ________________
6) ________________
7) 3d - 11 =
1x
(52 - 12d)
4
8) 1 x(-6r + 9) = 5r - 2
3
7) ________________
8) ________________
9) In the equation below which property is being used between steps 1 and 2?
Step 1:
1
5x

(4x – 7) = 8 – 5x
5
1
___________________________________________
Step 2: (4x – 7) = 8 – 5x
10) In the equation below which property is being used between steps 1 and 2?
Step 1:
Step 2:
4x = 18
18 = 4x
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