Problem Sets Algebra 1 – 2016 2

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Problem Sets
Algebra 1
2nd Quarter
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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).
Algebra 1 problem sets are accepted late for credit – but will lose points for being late. If you
are absent the day they are due, you must turn it in the first day you are back in class!
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
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important!
Problem Set #
Due Dates – A Days
Due Dates – B Days
1
Tuesday, November 17th
Wednesday, November 18th
2
Tuesday, December 8th
Wednesday, December 9th
3
Tuesday, January 5th
Wednesday, January 6th
4
Wednesday, January 20th
Thursday, January 21st
REMEMBER – Problem sets are due at the beginning of class!
In case of inclement weather and we miss school, problem sets are due the day we return to class.
Problem sets are not allowed to be turned in late.
Algebra 1
Name:_________________________ Period:____________
Problem Set #4
2nd Quarter
Date Turned in:_________
Directions: To receive full credit, show all work and place answers in the blanks provided.
NO WORK = NO CREDIT
Use this information to answer questions 1-6: A line passes through points A (3, 2) and B (2, 4).
1)
Find the slope of AB .
2) Find the y-intercept of AB .
1) ________________
2) ________________
3)
Write the equation for AB in slope-intercept form.
3) ________________
4) Write the equation for AB in standard form.
4) ________________
1
Use this information to answer questions 5-6: y intercept = 3, slope =
2
5)
Write the equation in slope-intercept form.
6) Write the equation in standard form.
5) ________________
6) ________________
7) ________________
7)
What is the slope of the line graphed?
8) ________________
8) Write the equation of the horizontal line that passes through the point (-1, 2).
9) What is the equation of the line whose graph has a slope of
A) 2x + 3y = 12
B) – 2x + 3y = 12
B)
y 
1
x
4
2
and a y-intercept of 4?
3
C) 2x + 3y = 4
10) _________
D) – 2x + 3y = 4
1
and passes through the origin?
4
1
1
C) y  x 
D) y  x 
4
4
10) What is the equation of the line whose graph has a slope of
A) y = 4x

9) __________
Algebra 1
Name:_________________________ Period:____________
Problem Set #3
2nd Quarter
Date Turned in:_________
NO WORK = NO CREDIT
Directions: To receive full credit, show all work when necessary and place answers in the blanks provided.
Questions 1-9: Graph the linear equations.
1) y = 3x – 2
2)
y 
y
3
x 1
4
y
x
4) y = -2x + 3
x
_____ 10) What is the slope of the line with the equation 4x + 5y = 10?
4
5
x
B)

4
5
C) 4
x
9) 3x – y = -3
y
x
A)
y
x
8) x – 4y = -8
y
1
x
2
6) -2x – 5y = 10
y
y
x
7) x = 2
y 
x
5) 2x – 4y = 8
y
3)
D) -4
y
x
Algebra 1
Name:_________________________ Period:____________
Date Turned in:_________
2nd Quarter
NO WORK = NO CREDIT
Problem Set #2
Directions: To receive full credit, show all work and place answers in the blanks provided.
Solve the equations. Check your solutions!
1)
2  x  2  2x  3  x  3
2)
1) ____________
3
 2 x  8   12
4
2) _____________
3) _____________
________________
________________
3) Identify the property: If 0+2x=6, then 2x = 6.
4) Identify the property: If 6x + 7= 15, then 7 + 6x = 15.
5) What is the range of the equation y = 2x + 1 if the domain is {-3, 5, 9}?
A) {-2, 2, 4}
B) {2, 2, 4}
C) {-5, 11, 19}
For questions 1-3, use the following data set:
6)
4) _____________
D) {-3, 5, 9}
{29, 22, 35, 40, 27, 7}
________________
________________
Is there an outlier in the data set? If so, what value is it? (Use your calculator!)
5) ___________
7)
Calculate the MAD of the data set. (SHOW YOUR WORK!)
Round to the nearest hundredth.
6) ___________
________________
7) ___________
8) What is the standard deviation of the data set? Round to the nearest hundredth.
9) The x-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.
8) ___________
9) ___________
10) __________
Algebra 1
Name:_________________________ Period:____________
Problem Set #1
2nd Quarter
1) What is the value of
2x  5 y
xy
Date Turned in:_________
No Work = No Credit
when x = -2 and y = -4?
1) ____________
2) Evaluate 3 x  y 2 when x = 16 and y = -3.
3) Find the value of
4) Simplify:
2) _____________
 x  10
when x = -15.
5
40  4 x
.
2
3) _____________
5) Evaluate 
3
 12   4 .
4
4) _____________
5) ____________
6) Translate: Three less than the product of two and a number is at least 10.
6) _____________
7) Solve:
8x  1
 11
3
7) _____________
8) _____________
9) _____________
8) Solve:
4
18 x  27   6 x  10
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9) Solve: 2  2 x  5  3x  2  2 x  9
10) ____________
10) What is the value of the following expression: 23  4   8  5  2  40
_____________________
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