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.