IM1: UNIT 3. HOMEWORK PACKET

Transcription

1 IM1: UNIT 3. HOMEWORK PACKET Week 1 Name: Period: Day 1: Write an equation for each situation. Then solve the equation. Show your work. 1) DVDs bought online cost $12 each, plus a shipping fee of $5. The total cost of the purchase is $41. How many DVDs were bought? 2) Bowling costs $5 per game, plus $3 rental fee for shoes. The total cost of the night of bowling was $23. How many games were bowled? 3) You bought your cat some cat food and a toy. The food costs $.6 per can. The toy cost $4.99. You spent $ How many cans of cat food did you buy? 4) You deposited a total of $38. in case into your bank account, you had $18 ones. How many $5 dollar bills did you have? 5) A kennel charges $15 per day to bard a dog. Upon arrival each dog must have a flea bath that coasts$12. Total cost for the dog was $162. How many days did the dog stay? Day 2: Solve the following inequalities. Graph the solution: 1) x + 12 < 1 2) 15 + x > 23 3) 41 > x 12 4) 17 < 5 + x 5) 27 > x 1 6) 17 + x < 5

2 Day 3: What are the next two terms of each sequence? Describe the pattern. 1) 5, 11, 17, 23,, 2) 8, 4, 2, 1,, 3) 2, -4, 8, -16,, 4) -15, -11, -7, -3,, 5) 1, 4, -2, -8,, Day 4: Two absolute values are compared. Is the comparison true or false? 1) 3 > 4 2) 5 > 2 3) 4 < 3 4) 2 < 4 Solve the following: 5) 2x = 16 6) y = 4 Day 5: 1) What is the range of g(x) = 4x 2 with the domain of { 2, 1,, 1, 2}? 2) What is the range of d(x) = 3x 2 with the domain of { 2, 1,, 1, 2}?

3 IM1: UNIT 3. HOMEWORK PACKET Week 2 Name: Period: Day 1: Write an equation for each situation. Then solve the equation. Show your work. 1) You want to buy a ring and some bracelets. The ring cost $3.18 and each bracelet costs $2.9. You can spend $2. How many bracelets can you buy? 2) A take-out restaurant charges $2.5 per delivery plus $3 per pound of food. Your bill is $8.5. How many pounds of food did you purchase? 3) A plumber charges $45 for a service call plus $6 per hour of work time. The plumber charged the Garcias $225 to repair a drain. How many hours did the plumber work? 4) At a part-time job, Marcus earns $8.5 per hour. How many hours does he have to work to earn $12? 5) You purchase 5 packages of notebook paper. You pay a total of $15 for all the paper. What is the cost of a package of paper? Day 2: Solve the following inequalities. Graph the solution: 1) x + 2 > 5 2) 12 > 5 + z 3) b ) 8 z + 5 5) 9 > 9 z 6) y

4 Day 3: Solve the following: 1) 3 x = 12 2) x 1 = 7 3) y + 4 = Evaluate the expression for m = 2 and n = 3. 4) m 5) 7 n 7 3 6) (2 n ) m Day 4: Match the function with its rule. 1) input output ) x F(x) f(x) = 2x f(x) = x + 2 3)Each output of a function is.5 less than the corresponding input f(x) = x/2

5 4)The number of quarters that you would get as a function of the number of x dollars you have g(x) = y.5 f(x) = 4x 5) Day 5: Answer the questions about the following table: Gallons Dollars Does the data represent a function? Why or why not? 2. What are the values of the range? 3. What are the values of the range? 4. What is the independent variable? 5. What is the dependent variable?

6 IM1: UNIT 3. HOMEWORK PACKET Week 3 Name: Period: Day 1: Write an equation or inequality for each of the following verbal phrases. 1) The difference of twice a number k and 8 is 12 2) The product of 6 and a number is at least 24 3) A numbery is no less than 5 4) The product of 9 and the quantity 5 more than a number t is less than 6 5) The product of 4 and a number w is at most 51 6) The product of a number b and 3 is less than 12 Day 2: Determine whether the given number is a solution of the equation or inequality. 1) x + 9 = 17 ; 8 2) k = 11; 1 3) 15 4y > 6; 2 4) 2p 1 7; 3 5) 9 + 4y = 17; 1 > 9 z 6) 2 + 3x 8; 2

7 Day 3: Answer the questions about the following information: SAT Scores: Years since Average Score ) Is this a function? Why or why not? 2) What is the domain? 3) What is the range? 4) What is the independent variable? 5) What is the dependent variable? 6) If you were to graph these points, would they form a straight line? Day 4: For the following rule, write an equation, complete the table, then graph. The output is 1 less than twice the input Equation: x y

8 Day 5: Write an equation for the given function 1) Input, x Output, f(x) f(x) = 2) Input, x Output, f(x) f(x) = 3) Number of tickets, n Amount in dollars, f(n) f(n) = 4) Time, hours Pay, dollars d = 5) Input, x Output, f(x) f(x) =

9 IM1: UNIT 3. HOMEWORK PACKET Week 4 Name: Period: Day 1: What are the independent and dependent variables for each graph? Describe how the variables are related. If you are given the variable, draw the graph. Volume Temp Plant Height Time Depth Time 1) 2) 3) 4) The height of a football kicked for a field goal depends on the time that has passed since being kicked. 5) The distance you will travel in an hour as it relates to your speed.

10 Day 2: Draw a line graph representing the solutions to the following inequalities. 1) x > 4 or x < 4 2) 3 < y < 2 3) 2 x < 3 4) y > 5 or y < 5) 3 < x 2 6) x 3 or x 3 7) 4 y 2 Day 3: For each table, identify the dependent and independent variables. Then describe the relationship using words, an equation, and a graph. x y Verbal Phrase: Equation: n m Verbal Phrase: Equation: Day 4: Answer the following about the graph. 1. Does the data represent a function? 2. What does the slope of the segments imply in terms of this problem? 3. Does the graph imply that someone started and ended at the same place? Explain.

11 Day 5: Write each verbal phrase as an equation, then solve. Show your work. 1. Seven less than some number equals twenty-one. 2. Twenty-four more than some number is forty-three. 3. Eight times a certain number increased by one equals sixty-five. 4. Nine times some number decreased by thirteen is ninety-five. 5. Five times some number decreased by two times that same number is forty-two. 6. Four times some number decreased by the number is eighty-seven.

12 IM1: UNIT 3. HOMEWORK PACKET Week 5 Name: Period: Day 1: Complete the following patterns. 1) 3, 9, 27,, 2) -2,, 2,, 3) 7, 4, 1,, 4) -2, -4, -8,, 5) -3, 3, -3,, 6) 64, 32, 16,, Day 2: Solve the following inequalities and graph the solutions. 1) 3x < 24 2) 16 < 2x 3) 4x 36 4) x > ) x 1 5 6) x ) 6n 1 > 3n + 8 8) 3m 4 6m + 11 Day 3: Tickets to science museum cost $19.95 each. To order them online, there is a $3 charge per order, regardless of how many tickets you buy. Create a table for the cost (in dollars) of ordering tickets online. Number of Tickets Cost Write an equation for the function of cost to tickets purchased:

13 Day 4: Solve each equation for y. Evaluate each function for x = 2 and x = 7 1) 2y x = 4 f(x) = 2x 8 2) 3x = y + 2 h(x) = 4x ) 2y 2 x = 4 g(x) = 8 x Day 5: Write an inequality for each problem then solve. Show your work. 1. You are saving to buy a bicycle that will cost at least $11. Your parents give you $65 toward the bicycle. How much money will you have to save? 2. Becca has $1.5 for lunch at the deli. She orders a sandwich for $6.25 and an apple for $1.25. How much money can she spend on a drink? 3. A small library has $24 to spend on books that cost $8 each. At most, how many books can the library buy? 4. Shandi s previous job paid $363 per week. She earns $8.25 at her new job. What are the possible numbers of hours that Shandi must work to make as much or more per week than her previous job? 5. A gas station charges $3.29 for a gallon of gas. The station also charges $12 for a car wash. How many gallons of gasoline can you buy if you have $4?