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 $.60 per can. The toy cost $4.99. You spent $10. 99. How many cans of cat food did you buy? 4) You deposited a total of $38. 00 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 < 10

2) 15 + 𝑥 > 23

3) 41 > 𝑥 − 12

4) 17 < 5 + 𝑥

5) 27 > 𝑥 − 10

6) 17 + 𝑥 < −5

0

0

0

0

0

0

Day 3: What are the next two terms of each sequence? Describe the pattern.

1) 5, 11, 17, 23, _______, _______ 2) 800, 400, 200, 100, ________, _______

3) 2, -4, 8, -16, ________, ______ 4) -15, -11, -7, -3, ________, ________

5) 10, 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, 0, 1, 2}?

2) What is the range of 𝑑(𝑥) = −3𝑥 − 2 with the domain of {−2, −1, 0, 1, 2}?

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 $2.90. You can spend $20. How many bracelets can you buy?

2) A take-out restaurant charges $2.50 per delivery plus $3 per pound of food. Your bill is $8.50. How many pounds of food did you purchase?

3) A plumber charges $45 for a service call plus $60 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 $8.50 per hour. How many hours does he have to work to earn $102?

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 ≥ 11

4) 8 ≤ 𝑧 + 5

5) 9 > 9 − 𝑧

6) 𝑦 + 2.6 ≤ 3.5

0

0

0

0

0

0

Day 3: Solve the following:

1) 3|𝑥| = 12 2) |𝑥 − 1| = 7

3) |𝑦 + 4| = 0

Evaluate the expression for m = 2 and n = 3.

4) 45 ∗ 4𝑚

5) 7𝑛 · 73 6) (2𝑛)𝑚

Day 4: Match the function with its rule. 1)

input 0 1 4 6 10 output 2 3 6 8 12

f(x) = 2x

2)

x 0 2 5 7 8 F(x) 0 4 10 14 16

f(x) = x + 2

3)Each output of a function is 0.5 less than the corresponding input

f(x) = x/2

4)The number of quarters that you would get as a function of the number of x dollars you have

g(x) = y – 0.5

5)

f(x) = 4x

Day 5: Answer the questions about the following table:

Gallons 10 12 13 17

Dollars 19.99 23.99 25.99 33.98

1. 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? ______________________________________________________________________

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

5+ 9 = 11; 10

3) 15 − 4𝑦 > 6; 2

4) 2𝑝 − 1 ≥ 7; 3

5) 9 + 4𝑦 = 17; 1 > 9 − 𝑧

6) 2 + 3𝑥 ≤ 8; 2

Day 3: Answer the questions about the following information:

SAT Scores:

Years since 1997 0 1 2 3 Average Score 511 512 511 514

1) 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

1

2

3

4

Day 5: Write an equation for the given function 1)

Input, x 0 1 2 3

Output, f(x) 2 3 4 5 f(x) = _______________________ 2)

Input, x 15 20 21 30 42

Output, f(x) 7 12 13 22 34

f(x) = _______________________ 3)

Number of tickets, n

0 1 2 3 4

Amount in dollars, f(n)

0 15 30 45 60

f(n) = _______________________ 4)

Time, hours 1 2 3 4

Pay, dollars 8 16 24 32

d = _______________________ 5)

Input, x 0 1 2 3 4

Output, f(x) 3 4 5 6 7

f(x) = _______________________

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 Time

1)______________________________________________________________________________________________________________________________________________________________________________________________________________________

Temp Depth

2)______________________________________________________________________________________________________________________________________________________________________________________________________________________

Plant Height Time

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.

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 < 0

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.

Verbal Phrase:_________ _____________________ Equation: _____________

x y

0 -2

1 -1

2 0

3 1

Verbal Phrase:_________ _____________________ Equation: _____________

n m

0 3

1 4

2 5

3 6

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. _____________

_________________________________________________________________________

0

0

0

0

0

0

0

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.

IM1: UNIT 3. HOMEWORK PACKET

Week 5 Name: Period:

Day 1: Complete the following patterns. 1) 3, 9, 27, _____, _____ 2) -2, 0, 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

2> 14

5) 𝑥

5≤ −10

6) −𝑥

4≥ 12

7) 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: _____________________

0

0

0

0

0

0

0

0

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 + 61

3) −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 $110. Your parents give you $65 toward the bicycle. How much money will you have to save? 2. Becca has $10.50 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 $240 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 $40?