Name: ___________________________________  1.1 Using Differences to Identify Patterns Homework  1. Find the next 3 terms of the sequence.  2. Find the next 3 terms of the sequence.      1         3         5         7         9       __11_     __13_      __15_  10     12     14     16     18     ______     ______     ______      \   /    \    /   \     /  \    /   \  /          \  /         \   /       +2      +2       +2       +2     +2           +2           +2  9 + 2 = 11  11 + 2 = 13  13 + 2 = 15  3. Find the next 3 terms of the sequence.    87     78     69     60     51     ______      ______      ______

4. Find the next 3 terms of the sequence.    49     42     35     28     21     ______     ______     ______

5. Find the next 3 terms of the sequence.    10     17     26     37     50     _____     _____     _____

6. Find the next 3 terms of the sequence.    1     4     9     16     25     _____     _____     _____

7. Examine the example below.    Find the next 3 terms of the sequence.   4     7     15     28     46     64     82     100          What was done incorrectly and how could you  correct it?

8. Examine the example below.    Find the next 3 terms of the sequence.  1     8     18     31     47     50     53     56          What was done incorrectly and how could you  correct it?

Name: ___________________________________  1.1 Using Differences to Identify Patterns Homework  9. The table below shows the approximate distance from a lightening strike to an observer based  on the time it takes the observer to hear the thunder.   Seconds  2  4  6  8  10  12  14  16  Miles  0.4  0.8  1.2  1.6  2.0  ?  ?  ?    Use constant differences to complete the table.            How many miles away is the observer when it takes the observer 12 seconds to hear the thunder?

10. As the altitude increases, the boiling point of water decreases.  In Las Vegas, NV at an altitude of  approximately 2100 ft the boiling point of water is  approximately 208 degrees farenheit.  Altitude  0  1000  2000  3000  4000  5000  6000  7000  8000  Temp.(F)  212  210  208  206  204  202  ?  ?  ?    Use constant differences to complete the table.           Colorado Springs, CO has an altitude of approximately 6100 feet. What is the approximate boiling point of  water?    11. Describe what a constant difference is in your own words.

12. Describe how to find the next three terms of sequence given the first five terms.

Name: ___________________________________  1.2 Variables, Expressions and Equations Homework  1. Make a table to show the value of the   2. Make a table to show the value of the  expression 5p­3 when p is 1, 3 & 5.  expression 4x when x is 2, 3, and 4.     P  1  3  5  5p‐3

5(1)‐3  5‐3

5(3) ‐3  15‐3

5(5)‐3  25‐3

Value

8  12  22    3. Solve the equation 4x+3=47.     Make a table of values, with x=1, 2, 3, 4…..  Keep going until you get a value of 47.   X  1  2  3  4

5

4x+3

4(1)+3  4+3

4(2)+3  8+3

4(3)+3  12+3

4(4)+3  16+3

4(5)+3  20+3

Value

7

11

15

17

23

X  4x+3  Value

6

7

8

9

10

4(6)+3  24+3

4(7)+3  28+3

4(8)+3  32+3

4(9)+3  36+3

4(10)+3  40+3

4(11)+3  44+3

27

31

35

39

43

47

4x +3 = 47 when x= 11   4. Solve the equation 7x‐12=44.                                     7x ‐ 12 = 44 when x=______

11

Name: ___________________________________  1.3 The Algebraic Order of Operations Homework  1. Evaluate the expression using the algebraic  2. Evaluate the expression using the algebraic  order of operations (PEMDAS).  order of operations (PEMDAS).  43 * 32 + 91 * 67  3 * 15 + 9  Parenthesis‐  skip    Exponents‐ skip    Multiply              (43 * 32) + (91*67)    322 + 6097    Divide‐ skip    Add                                  6419    Subtract‐ skip    Answer: 6419  Answer:_______  3. Evaluate the expression using the algebraic  4. Evaluate the expression using the algebraic  order of operations (PEMDAS).  order of operations (PEMDAS).   3(2 + 7 – 8) + 16  2 * 62 – 10 + 4                              Answer: _______  Answer: _______  5. Examine the example provided.  Evaluate the expression using the algebraic  order of operations (PEMDAS).   82 + 72 * 62    Step 1:                        64 + 49 * 36  Step 2:                           113 * 36  Step 3:                               4068      Answer: 4068      What was done incorrectly and why?            In Step 2, 64 + 49 was done first. This is wrong  because when using PEMDAS you should  multiply before you add. 49 * 36 should have  been done first.

6. Examine the example provided.   Evaluate the expression using the algebraic order  of operations (PEMDAS).  (15 * 10 – 20 * 12) / 10    Step 1:   (15 * ‐10 * 12 ) / 10  Step 2:   (‐150 * 12 ) / 10  Step 3:  (‐1800 ) / 10  Step 4:  ‐180    Answer:  ‐180       What was done incorrectly and why?

1.4 Graphing with Coordinates Homework  Use the following coordinate plane and labeled  points for questions 1‐5.                                     E

Name: ___________________________________

1. What is the x‐coordinate of point A?      What is the y‐coordinate of point A?      What is point A?              A                                              B                                What quadrant is point A in?          How did you determine the coordinates of point A?                                                                                                                                                                                C                                                 _           D                                                                                .                            F      2. What is the x‐coordinate of point C?    What is the y‐coordinate of point C?    What is point C?    What quadrant is point C in?    How did you determine the coordinates of point C?              4. What is the x‐coordinate of point B?    What is the y‐coordinate of point B?    What is point B?    What quadrant is point B in?    How did you determine the coordinates of point B?

3. What is the x‐coordinate of point D?    What is the y‐coordinate of point D?    What is point D?    What quadrant is point D in?    How did you determine the coordinates of point D?

5. What is the x‐coordinate of point F?    What is the y‐coordinate of point F?    What is point F?    What quadrant is point F in?    How did you determine the coordinates of point F?

Name: ___________________________________  1.5 Representing Linear Patterns Homework  1. The costs associated with being a member of a DVD club are presented in the table below. Find  the first differences and write an equation to represent the data pattern.     # of DVDS  0  1  2  3  4  5  Total Cost \$  26  39  52  65  78  91    Find the first differences.   26       39       52       65       78       91            Follow the formula for equations:   total cost = constant difference * # of DVDs + initial cost               Total Cost: changes by a difference greater then 1,         y      Constant Difference:  found to be 13                                   13       # of DVDs: changes by a difference of 1,                             x       Initial Cost: paired with 0,                                                     26            Answer:     y=13x+26     2. The costs associated with being a member of a CD club are presented in the table below. Find the first  differences and write an equation to represent the data pattern.     # of CDs  0  1  2  3  4  5  Total Cost \$  25  34  43  52  61  70

1.6 Scatter Plots and Lines of Best Fit Homework  1. Draw a scatter plot of the following data  points and determine the correlation and the  strength of the relationship.   X  1  3  6  7  9  11  14  y  0  4  8  6  4  10  9                                        3. Draw a scatter plot of the following data points  and determine the correlation and the strength of  the relationship.  X  1  3  6  7  9  11  14  y  0  4  ‐5  7  ‐10  1  ‐3

Name: ___________________________________  2. Draw a scatter plot of the following data points  and determine the correlation and the strength of  the relationship.  X  1  3  6  7  9  11  14  y  0  ‐4  ‐8  ‐6  ‐4  ‐10  ‐9

4. Draw a scatter plot of the following data points  and determine the correlation and the strength of  the relationship.  X  1  3  6  7  9  11  14  ‐3  0  4  5  8  10  9    y

1.6 Scatter Plots and Lines of Best Fit Homework  1. Draw a a line of best fit on the scatter plot  below.                                             3. Draw a line of best fit on the scatter plot below.

Name: ___________________________________  2. Draw a line of best fit on the scatter plot below.

4. Draw a line best fit on the scatter plot below.

Chapter 1 Homework
Chapter 1 Homework

Chapter 1 Homework Algebra 1