algebra 1 teachers weekly assessment package #2 … · algebra 1 teachers weekly assessment package...

Algebra 1 Teachers Weekly Assessment Package #2

Units 4 - 6

Created by: Jeanette Stein

©2014 Algebra 1 Teachers

Show all work below. Name __________________________

2 Semester 1 Skills | Algebra 1 Weekly Assessments | ©2014 Algebra 1 Teachers

SEMESTER 1 SKILLS 3

UNIT 4 5

WEEK #11 6 WEEK #12 8 WEEK #13 11

UNIT 4 - KEYS 13

WEEK #11 KEY 14 WEEK #12 KEY 16 WEEK #13 KEY 19

UNIT 5 21

WEEK #14 22 WEEK #15 23

UNIT 5 - KEYS 25

WEEK #14 KEY 26 WEEK #15 KEY 27

UNIT 6 29

WEEK #16 30 WEEK #17 32

UNIT 6 - KEYS 34

WEEK #16 KEY 35 WEEK #17 KEY 37



Algebra 1 Common Core

Semester 1 Skills Number Unit CCSS Skill

1 1 A.REI.3 Solve two step equations (including proportions)

2 1

Order of Operations

3 1

Create a table from a situation

4 1 A.REI.10 Create a graph from a situation

5 1 F.BF.1 Create an equation from a situation

6 1 F.IF.1 Identify a function

7 1 F.IF.2 Evaluate a function

8 1 A.REI.6 Basic Systems with a table and graph

9 1 F.LE.1 Identify linear, exponential, quadratic, and absolute value

functions

10 2 F.BF.3 Translate a graph in function notation

11 2 F.IF.6 Calculate Slope

12 2 S.ID.7 Interpret meaning of the slope and intercepts

13 2 F.BF.2 Construct an arithmetic sequence

14 2 F.BF.4 Find the inverse of a function

15 3 S.ID.6 Find the line of best fit

16 3 S.ID.6 Predict future events given data



17 3 S.ID.8 Calculate Correlation Coefficient with technology

18 3 S.ID.9 Understand the difference between Causation and Correlation

19 4 S.ID.1 Create box plots

20 4 S.ID.2 Calculate and compare measures of central tendencies

21 4 S.ID.3 Understand the effects of outliers

22 4 S.ID.5 Use two way frequency tables to make predictions

23 4 N.QA.1 Convert Units

24 4 N.QA.3 Understand Accuracy

25 5 A.REI.3 Solve advanced linear equations

26 5 A.REI.1 A.CED.4 Solve literal equations and justify the steps

27 5 A.REI.3 Solve inequalities

28 5 A.REI.12 Graph inequalities

29 6 A.REI.6 Solve a system of equations by graphing

30 6 A.REI.6 Solve a system of equations by substitution

31 6 A.REI.5 Solve a system of equations by elimination


5 Unit 4 | Algebra 1 Weekly Assessments | ©2014 Algebra 1 Teachers

Unit 4 Weekly Assessments



Week #11 1. Find the inverse of 𝑓(𝑥) = 2𝑥 − 7

2. For the group data 4, 4, 6, 10, 13, what is the relationship between the mean and median?

3. Create a box plot for the given data. 21, 20, 5, 18, 7, 16, 8, 5, 22, 19, 12, 9, 8, 20, 20



4. Find the rate of change between 1980 and 2009 of the given data. Write your answers as a full sentence.

The

National

Data Book

Number of dropouts (1,000)

1980 1990 1995 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009

16 to 17

years 709 418 406 460 399 346 323 452 303 464 448 416 452

http://www.census.gov/compendia/statab/cats/education/elementary_and_secondary_education_completions_and_dropouts.html

5. Predict how much money the average household will spend on clothes in 2020.

http://www.census.gov/compendia/statab/cats/income_expenditures_poverty_wealth.html





Week #12 1. Emma’s first test scores were 80%, 84%, 95%, and 82%. Which of the following test scores would result in the greatest difference in Emma’s mean score? a. 50%

b. 70%

c. 85%

d. 100%

2. Your grades are graphed below. Semester 1 Grades:

Semester 2 Grades:

The median has changed from _______to_______.

The upper quartile has changed from _______to _______.

The lower quartile has changed from _______ to _______.

What can you conclude about your grades? Can you conclude that every grade dropped?

___________________________________________________________________________________________________

___________________________________________________________________________________________________

___________________________________________________________________________________________________



3.

What is the median grade? ___________

What is the mean grade? __________

4. A public opinion survey explored the relationship

between age and support for increasing the minimum wage.

In the 21 to 40 age group, what percentage supports increasing the minimum wage?

http://stattrek.com/statistics/two-way-table.aspx

0

2

4

6

100 95 90 85 80

2

1

6

5

4

Algebra Grades

Grade

Num

ber

ofS

tudent

s




Use the graph below to answer the questions.

5. Calculate the line of best fit.

0

5

10

15

0 2 4 6 8 10



Week #13

1. Which number is more precise? A. 40.67 feet B. 8.632 feet Explain:

2. What percent of students that studied between 2 and 4 hours earned higher than a 75% on the test?

3. Identify the outlier in the data below. Find the mean of the population of the 7 largest cities in the United States with and without the outlier. How does the outlier change the mean?

City, State Population (Millions)

New York, NY 8.1

Los Angeles, CA 3.8

Chicago, IL 2.7

Houston, TX 2.1

Philadelphia, PA 1.5

Phoenix, AZ 1.4

San Antonio, TX 1.3

How does the outlier change the mean?

Outlier: ____________________________________ Mean Population with Outlier: _________________ Mean Population without Outlier: ______________



4. The speed of a giraffe is 50 km/h. If the giraffe continues at the same speed, after 2 hours, how many miles has the giraffe traveled? (Hint: 1 mile = 1.60934 kilometers)

5. Convert 12 mph to feet per second. (Hint: 5,280 feet = 1 mile)

6. For the following situations, decide whether or not there is a correlation and whether it is a positive or negative correlation. Examine the factors and decide if there is enough evidence to state that there is causation as well. The number of pizzas delivered to a school and the number of students in that school Correlation? (yes or no)_________________________ Positive, negative, not applicable (NA)_________________________ Causation? (yes or no)_________________________


13 Unit 4 - KEYS | Algebra 1 Weekly Assessments | ©2014 Algebra 1 Teachers

Unit 4 - KEYS Weekly Assessments



Week #11 Key 1. Find the inverse of 𝑓(𝑥) = 2𝑥 − 7

𝑦 = 𝑥

2+ 3.5

2. For the group data 4, 4, 6, 10, 13, what is the relationship between the mean and median? Mean = 7.4 Median = 6 The mean is 1.4 greater than the median.

3. Create a box plot for the given data. 21, 20, 5, 18, 7, 16, 8, 5, 22, 19, 12, 9, 8, 20, 20



4. Find the rate of change between 1980 and 2009 of the given data. Write your answers as a full sentence.

The

National

Data Book

Number of dropouts (1,000)

1980 1990 1995 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009

16 to 17

years 709 418 406 460 399 346 323 452 303 464 448 416 452

542 − 709

2009 − 1980=

−257

29≈ −20

There are approximately 20 fewer dropouts per year from 1980 to 2009. http://www.census.gov/compendia/statab/cats/education/elementary_and_secondary_education_completions_and_dropouts.html

5. Predict how much money the average household will spend on clothes in 2020.

≈ $2000 http://www.census.gov/compendia/statab/cats/income_expenditures_poverty_wealth.html





Week #12 Key 1. Emma’s first test scores were 80%, 84%, 95%, and 82%. Which of the following test scores would result in the greatest difference in Emma’s mean score? a. 50%

b. 70%

c. 85%

d. 100%

A

2. Your grades are graphed below. Semester 1 Grades:

Semester 2 Grades:

The median has changed from __86__to__78___.

The upper quartile has changed from _95____to __88___.

The lower quartile has changed from _76____ to __71___.

What can you conclude about your grades? Can you conclude that every grade dropped?

Overall the grades have dropped. I cannot conclude that every grade dropped. Maybe one went up a lot and one when

down a lot and they “switched places”.



3.

What is the median grade? __4______

What is the mean grade? __3.6______

4. A public opinion survey explored the relationship

between age and support for increasing the minimum wage.

In the 21 to 40 age group, what percentage supports increasing the minimum wage?

25

50= 50%


0

2

4

6

100 95 90 85 80

2

1

6

5

4

Algebra Grades

Grade

Num

ber

ofS

tudent

s




Use the graph below to answer the questions.

5. Calculate the line of best fit.

𝑦 = 𝑥 + 2

0

5

10

15

0 2 4 6 8 10



Week #13 Key

1. Which number is more precise? A. 40.67 feet B. 8.632 feet B Explain: Because the units are the same, the number of decimal places will determine which number is more precise.

2. What percent of students that studied between 2 and 4 hours earned higher than a 75% on the test?

24

42≈ 57%

3. Identify the outlier in the data below. Find the mean of the population of the 7 largest cities in the United States with and without the outlier. How does the outlier change the mean?

City, State Population (Millions)

New York, NY 8.1

Los Angeles, CA 3.8

Chicago, IL 2.7

Houston, TX 2.1

Philadelphia, PA 1.5

Phoenix, AZ 1.4

San Antonio, TX 1.3

How does the outlier change the mean? When removing the outlier the mean decreased by 0.9 million.

Outlier: __New York, NY_____ Mean Population with Outlier: __≈ 3.0 𝑚𝑖𝑙𝑙𝑖𝑜𝑛_______ Mean Population without Outlier: __≈ 2.1 𝑚𝑖𝑙𝑙𝑖𝑜𝑛____________



4. The speed of a giraffe is 50 km/h. If the giraffe continues at the same speed, after 2 hours, how many miles has the giraffe traveled? (Hint: 1 mile = 1.60934 kilometers)

50 𝑘𝑚

1 ℎ𝑟×

1 ℎ𝑟

1.60934 𝑘𝑚× 2 ℎ𝑟 ≈ 62.1 𝑚𝑖

5. Convert 12 mph to feet per second. (Hint: 5,280 feet = 1 mile)

12 𝑚𝑖

1 ℎ𝑟×

1 ℎ𝑟

60 𝑚𝑖𝑛×

1 𝑚𝑖𝑛

60 𝑠𝑒𝑐×

5280 𝑓𝑡

1 𝑚𝑖= 17.6 𝑓𝑡/𝑠𝑒𝑐

6. For the following situations, decide whether or not there is a correlation and whether it is a positive or negative correlation. Examine the factors and decide if there is enough evidence to state that there is causation as well. The number of pizzas delivered to a school and the number of students in that school Correlation? (yes or no)_____yes______________ Positive, negative, not applicable (NA)___positive____________ Causation? (yes or no)______no_________________



Week #14 1. Solve for x.

3x + (3x – 12) = 𝑥

4

2. Solve for x. 3𝑥 = 𝑎𝑥 + 5 + 𝑎

3. What is the greatest possible error for a measurement of 5 inches?

4. The mean of the following data is 17. Find the value of x. 14, 22, 8, 17, 15, x

5. Given the box and whisker graph, find the following. Minimum: __________________ Maximum: __________________ Upper Quartile: ______________ Lower Quartile: ______________ Median: ____________________

6. There are 640 acres in a square mile and 5280 feet in one mile. How many square feet are there in 3 acres?



Week #15 1. Solve and graph the inequality.

6𝑥 + 5 < 10 − 2𝑥

2. Your test scores for your history class so far in the class were 74%, 82%, 76%, 75%, and 80%. On the last test of the year, you studied hard and earned a 100%. How did this change your test average?

3. Solve for x.

𝑥 + 1

3= 4𝑥 − 7

4. In the formula 𝑃 =𝐹

𝐴 gives the pressure for P for a force

F and an area A. Solve this formula for A.

5. Six ninth-grade students and six 12th-grade students were asked: How many movies have you seen this month? Here are their responses. Ninth-grade students: 5, 1, 2, 5, 3, 8 12th-grade students: 4, 2, 0, 2, 3, 1 a. How does the mean compare for each of these data sets.



6. Identify the outlier in the data below. Find the mean of the speed of the animals with and without the outlier. How does the outlier change the mean?

Animal Speed (MPH)

Peregrine Falcon 200 +

Cheetah 70

Lion 50

Wildebeest 50

Elk 45

Ostrich 40

Rabbit 35

How does the outlier change the mean?

Outlier: ____________________________________ Mean Population with Outlier: _________________ Mean Population without Outlier: ______________



Week #14 KEY 1. Solve for x.

3x + (3x – 12) = 𝑥

4

6𝑥 − 12 =𝑥

4

x = 2

2. Solve for x. 3𝑥 = 𝑎𝑥 + 5 + 𝑎

3𝑥 − 𝑎𝑥 = 5 + 𝑎

𝑥(3 − 𝑎)

(3 − 𝑎)=

5 + 𝑎

3 − 𝑎

𝑥 =5 + 𝑎

3 − 𝑎

3. What is the greatest possible error for a measurement of 5 inches? .5 feet (The greatest possible error is half of the unit of measure to which a measure is rounded.)

4. The mean of the following data is 17. Find the value of x. 14, 22, 8, 17, 15, x

76 + 𝑥

6= 17

𝑥 = 26

5. Given the box and whisker graph, find the following. Minimum: ____2________ Maximum: ____16___________ Upper Quartile: ___11_________ Lower Quartile: ___4________ Median: ____6______________

6. There are 640 acres in a square mile and 5280 feet in one mile. How many square feet are there in 3 acres?

3 𝑎𝑐𝑟𝑒𝑠 ×1 𝑚𝑖

640 𝑎𝑐𝑟𝑒𝑠×

5280 𝑓𝑡

1 𝑚𝑖×

5280 𝑓𝑡

1 𝑚𝑖= 130,680 𝑓𝑡2



Week #15 KEY 1. Solve and graph the inequality.

6𝑥 + 5 < 10 − 2𝑥

𝑥 <5

8

2. Your test scores for your history class so far in the class were 74%, 82%, 76%, 75%, and 80%. On the last test of the year, you studied hard and earned a 100%. How did this change your test average?

Average 1: 387

5≈ 77.4

Average 2: 487

6≈ 81.2

The test average increased by ≈ 3.8 points.

3. Solve for x.

𝑥 + 1

3= 4𝑥 − 7

𝑥 + 1 = 12𝑥 − 21

𝑥 = 2

4. In the formula 𝑃 =𝐹

𝐴 gives the pressure for P for a force

F and an area A. Solve this formula for A.

𝑃𝐴 = 𝐹

𝐴 =𝐹

𝑃

5. Six ninth-grade students and six 12th-grade students were asked: How many movies have you seen this month? Here are their responses. Ninth-grade students: 5, 1, 2, 5, 3, 8 12th-grade students: 4, 2, 0, 2, 3, 1 a. How does the mean compare for each of these data sets.

Ninth graders: 24

6= 4

12th grade students: 12

6= 2

The ninth grade students, on average, saw two more movies last month than the 12th graders.


28 | Algebra 1 Weekly Assessments | ©2014 Algebra 1 Teachers

6. Identify the outlier in the data below. Find the mean of the speed of the animals with and without the outlier. How does the outlier change the mean?

Animal Speed (MPH)

Peregrine Falcon 200 +

Cheetah 70

Lion 50

Wildebeest 50

Elk 45

Ostrich 40

Rabbit 35

How does the outlier change the mean? The outlier increased the mean by 21.7 MPH.

Outlier: ____Peregrine Falcon____________ Mean Population with Outlier: __70_________ Mean Population without Outlier: ___48.3_________



Week #16

1. Solve the system of equations by graphing.

{𝑦 = 2𝑥 − 6

𝑦 = −1

2𝑥 + 4

2. Solve the system using substitution.

{𝑥 + 2𝑦 = 12

𝑦 = 12⁄ 𝑥 − 3


{−2𝑥 − 3𝑦 = −7

𝑦 = 6𝑥 − 11

4. Solve and graph the inequality.

−5𝑥 + 4 < 3𝑥 − 6



5. Which number is the most precise? How do you know?

a. 165.789 inches b. 56.89 inches

6. Solve for x. 5 − (𝑥 + 4) = 11𝑥 − 3



Week #17

1. Solve the system of equations by elimination.

{2𝑥 + 5𝑦 = 73𝑥 − 5𝑦 = 8


{𝑥 + 2𝑦 = 10

𝑦 = −3

4𝑥 + 6


{

12𝑥 + 6𝑦 = 10

𝑦 =2

3𝑥 − 1




5𝑥 + 6 <3𝑥 + 8

5


{12𝑥 + 6𝑦 = 63𝑥 − 5𝑦 = 8



Week #16 KEY


{𝑦 = 2𝑥 − 6

𝑦 = −1

2𝑥 + 4

(4, 2)


{𝑥 + 2𝑦 = 12

𝑦 = 12⁄ 𝑥 − 3

𝑥 + 2 (1

2𝑥 − 3) = 12

𝑥 = 3

3 + 2𝑦 = 12

𝑦 = 4.5

(3, 4.5)


{−2𝑥 − 3𝑦 = −7

𝑦 = 6𝑥 − 11

−2𝑥 − 3(6𝑥 − 11) = −7

𝑥 = 2

𝑦 = 6(2) − 11

𝑦 = 1

(2, 1)


−5𝑥 + 4 < 3𝑥 − 6

−8𝑥 < −10

𝑥 >5

4



5. Which number is the most precise? How do you know?

a. 165.789 inches b. 56.89 inches

A

6. Solve for x. 5 − (𝑥 + 4) = 11𝑥 − 3

5 − 𝑥 − 4 = 11𝑥 − 3

1 − 𝑥 = 11𝑥 − 3

𝑥 =1

3



Week #17 KEY


{2𝑥 + 5𝑦 = 73𝑥 − 5𝑦 = 8

5𝑥 = 15

𝑥 = 3

2(3) + 5𝑦 = 7

𝑦 =1

5

(3, 15⁄ )


{𝑥 + 2𝑦 = 10

𝑦 = −3

4𝑥 + 6

(4, 3)


{

12𝑥 + 6𝑦 = 10

𝑦 =2

3𝑥 − 1

12𝑥 + 6 (2

3𝑥 − 1) = 10

12𝑥 + 4𝑥 − 6 = 10

𝑥 = 1

12 + 6𝑦 = 10

𝑦 = −1

3

(1, −1

3)




5𝑥 + 6 <3𝑥 + 8

5

25𝑥 + 30 < 3𝑥 + 8

22𝑥 < 22

𝑥 < 1


{12𝑥 + 6𝑦 = 63𝑥 − 5𝑦 = 8

12𝑥 + 6𝑦 = 6 −12𝑥 + 20𝑦 = −32

26𝑦 = −26

𝑦 = −1

12𝑥 + 6(−1) = 6 𝑥 = 1

(1, −1)

algebra 1 teachers weekly assessment package #2 … · algebra 1 teachers weekly assessment package...

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