1. 5 Minute Check
Complete in your notebook. Fill in with < , > , or = to make the inequality true , , , ,431 Solve. 3. x + 44 = m = 48

2. 5 Minute Check
Fill in with < , > , or = to make the inequality true , ,788

3. 5 Minute Check
Fill in with < , > , or = to make the inequality true ,788 > 203,788

4. 5 Minute Check
Fill in with < , > , or = to make the inequality true , ,431

5. 5 Minute Check
Fill in with < , > , or = to make the inequality true ,341 < 892,431

6. 5 Minute Check
Solve. 3. x + 44 = 90

7. 5 Minute Check
Solve. 3. x + 44 = x = 46

8. 5 Minute Check
Solve m = 48

9. 5 Minute Check
Solve m = 48 16m = 16 m = 3

10. OST Test Prep
Justin bought a hat for $36 and two admission tickets to a baseball game. Let t represent the cost of an admission ticket. Select whether each statement is true or false and why.
1. The expression 2(t + 36) represents the total amount Justin spent.
2. When each admission ticket is costs $5.50, Justin will spend $47 in all.
3. The expression 2t + 36 represents the total amount Justin spent.
4. When each admission ticket costs $9.50, Justin will spend $91 in all.

11. OST Test Prep
Justin bought a hat for $36 and two admission tickets to a baseball game. Let t represent the cost of an admission ticket. Select whether each statement is true or false and why.
1. The expression 2(t + 36) represents the total amount Justin spent.

12. OST Test Prep
Justin bought a hat for $36 and two admission tickets to a baseball game. Let t represent the cost of an admission ticket. Select whether each statement is true or false and why.
1. The expression 2(t + 36) represents the total amount Justin spent.
2(t + 36)
2t + 72
To find the price of 2 tickets, multiply 2 by the price of each ticket; 2t. Since he bought one hat, as that onto 2t.
2t + 36
False

13. OST Test Prep
Justin bought a hat for $36 and two admission tickets to a baseball game. Let t represent the cost of an admission ticket. Select whether each statement is true or false and why.
2. When each admission ticket is costs $5.50, Justin will spend $47 in all.

14. OST Test Prep
Justin bought a hat for $36 and two admission tickets to a baseball game. Let t represent the cost of an admission ticket. Select whether each statement is true or false and why.
2. When each admission ticket is costs $5.50, Justin will spend $47 in all.
To find the price of 2 tickets, multiply 2 by the price of each ticket, which is $5.50. He spent $11 on tickets. Since he bought one hat, as that onto $11.
$11 + $36 = $47
True

15. OST Test Prep
Justin bought a hat for $36 and two admission tickets to a baseball game. Let t represent the cost of an admission ticket. Select whether each statement is true or false and why.
3. The expression 2t + 36 represents the total amount Justin spent.

16. OST Test Prep
Justin bought a hat for $36 and two admission tickets to a baseball game. Let t represent the cost of an admission ticket. Select whether each statement is true or false and why.
3. The expression 2t + 36 represents the total amount Justin spent.
To find the price of 2 tickets, multiply 2 by the price of each ticket; 2t. Since he bought one hat, as that onto 2t.
2t + 36
True

17. OST Test Prep
Justin bought a hat for $36 and two admission tickets to a baseball game. Let t represent the cost of an admission ticket. Select whether each statement is true or false and why.
4. When each admission ticket costs $9.50, Justin will spend $91 in all.

18. OST Test Prep
Justin bought a hat for $36 and two admission tickets to a baseball game. Let t represent the cost of an admission ticket. Select whether each statement is true or false and why.
4. When each admission ticket costs $9.50, Justin will spend $91 in all.
To find the price of 2 tickets, multiply 2 by the price of each ticket, which is $9.50. He spent $19 on tickets. Since he bought one hat, as that onto $19.
$19 + $36 = $55
False

19. 5 Minute Check
Solve m = 48 16m = 16

20. 5 Minute Check
Solve m = 48 16m = 16

21. 5 Minute Check
Solve m = 48 16m = 16

22. 5 Minute Check
Solve m = 48 16m = 16

23. 5 Minute Check
Solve m = 48 16m = 16

24. 5 Minute Check
Solve m = 48 16m = 16

25. 5 Minute Check
Solve m = 48 16m = 16

26. 5 Minute Check
Solve m = 48 16m = 16

27. 5 Minute Check
Solve m = 48 16m = 16

28. 5 Minute Check
Solve m = 48 16m = 16

29. 5 Minute Check
Solve m = 48 16m = 16

30. 5 Minute Check
Solve m = 48 16m = 16

31. 5 Minute Check
Solve m = 48 16m = 16

32. Lesson 8.1 Function Tables
Wednesday, Feb 8
Lesson 8.1 Function Tables

33. Function Tables
Objective: Complete function tables and find function rules.

34. Function Tables
A function is a relation that assigns exactly one output value to one input value.

35. Function Tables
A function is a relation that assigns exactly one output value to one input value. Think of a function as an algebraic expression with one variable.

36. Function Tables
A function is a relation that assigns exactly one output value to one input value. Think of a function as an algebraic expression with one variable. In our example, the number of wing beats (output) depends on the number of seconds (input).

37. Function Tables
A function rule describes the relationship between each input and output.

38. Function Tables
A Function Rule is like a machine that has an input and an output. And the output is related somehow to the input.
Output
Input

39. Function Tables
x + 5 Function Rule

40. Function Tables
3 x + 5 Input(x) Function Rule If we put the value of x (in this case 3) into the function rule and perform the operations, what do we get?

41. Function Tables
3 x Input (x) Function Rule Output(y)

42. Function Tables
A Function Rule is like a machine that has an input and an output. And the output is related somehow to the input. 8 3

43. Function Tables
3 x Input (x) Function Rule Output(y) A Function Rule is an expression that will only have an x variable.

44. Function Tables
A function table is a table that contains an input, output and function rule.

45. Function Tables
Complete the table.
Input(x)
x + 4
Output(y) 1 2 3 4

46. Function Tables 0 + 4 1 Complete the table. 2 3 4 Input(x) x + 4
Output(y)
0 + 4 1 2 3 4

47. Function Tables Complete the table. 0 + 4 4 1 2 3 Input(x) x + 4
Output(y)
0 + 4 4 1 2 3

48. Function Tables Complete the table. 0 + 4 4 1 1 + 4 5 2 2 + 4 6 3
Input(x)
x + 4
Output(y)
0 + 4 4 1
1 + 4 5 2
2 + 4 6 3
3 + 4 7
4 + 4 8
On today’s assignment, you are not to perform any operation in the middle column. Just substitute the “x” value.

49. Function Tables Complete the table. 2 4 6 8 Input x + 4 output 0 + 4 1
Output(y) 2 4 6 8
Input
x + 4
output
0 + 4 1 2 3 4
Write the function rule
In your table.

50. Function Tables Complete the table. . 5(0) 2 5(2) 10 4 5(4) 20 6 5(6)
Input(x) 5x
Output(y)
5(0) 2
5(2) 10 4
5(4) 20 6
5(6) 30 8
5(8) 40
Input
x + 4
output
0 + 4 1 2 3 4

51. Function Tables Complete the table. . 3 6 9 12 15 Input x + 4 output
Output(y) 3 6 9 12 15
Input
x + 4
output
0 + 4 1 2 3 4
Write the function rule
In your table.

52. Function Tables Complete the table. . 3 7 6 16 9 25 12 34 15 43 Input
Input(x)
3x - 2
Output(y) 3
3(3) - 2 7 6
3(6) - 2 16 9
3(9) – 2 25 12
3(12) – 2 34 15
3(15) – 2 43
Input
x + 4
output
0 + 4 1 2 3 4

53. Function Tables
The output value is also known as the dependent variable. Why? .

54. Function Tables
The output value is also known as the dependent variable. Why?
The output value depends on the input value. .

55. Function Tables
If the output value is also known as the dependent variable, what might the input value be known as? .

56. Function Tables
If the output value is also known as the dependent variable, what might the input value be known as?
The independent variable .

57. Function Tables
Sometimes the function table has the output values and the function rule, and the input values need to be determined.

58. Function Tables
Sometimes the function table has the output values and the function rule, and the input values need to be determined. Reminder – going in reverse means you perform the inverse operation. i.e. if the function rule states “+1”, you subtract 1 in reverse.

59. Function Tables Complete the table. . 3 9 15 21 27 Input x + 4 output
Output(y) 3 9 15 21 27
Input
x + 4
output
0 + 4 1 2 3 4

60. Function Tables Complete the table. . 3 9 15 21 27 Input x + 4 output
Output(y) 3 9 15 21 27
Input
x + 4
output
0 + 4 1 2 3 4
What is the inverse operation?

61. Function Tables
A Function Rule is like a machine that has an input and an output. And the output is related somehow to the input. 3 1
Output

62. Function Tables Complete the table. . 1 3(1) 3 3(3) 9 5 3(5) 15 7 3(7)
Input(x) 3x
Output(y) 1
3(1) 3
3(3) 9 5
3(5) 15 7
3(7) 21
3(9) 27
Input
x + 4
output
0 + 4 1 2 3 4
Since the function rule is
x ∙ 3 = y, the inverse would be
y ÷ 3 = x

63. Function Tables Complete the table. . 1 3 7 9 13 Input x + 4 output
Output(y) 1 3 7 9 13
Input
x + 4
output
0 + 4 1 2 3 4
What is the inverse operation?

64. Function Tables Complete the table. . 2 2 - 1 1 4 4 - 1 3 8 8 - 1 7 10
Input(x)
x - 1
Output(y) 2
2 - 1 1 4
4 - 1 3 8
8 - 1 7 10
10 - 1 9 14
14 -1 13
Input
x + 4
output
0 + 4 1 2 3 4

65. Function Tables Complete the table. . 6 9 10 12 15 Input x + 4 output
Output(y) 6 9 10 12 15
Input
x + 4
output
0 + 4 1 2 3 4
What is the inverse operation?

66. Function Tables Complete the table. . 12 12 ÷ 2 6 18 18 ÷ 2 9 20
Input(x)
x ÷ 2
Output(y) 12
12 ÷ 2 6 18
18 ÷ 2 9 20
20 ÷ 2 10 24
24 ÷ 2 30
30 ÷ 2 15
Input
x + 4
output
0 + 4 1 2 3 4

67. Function Tables
The Gomez family is traveling at a rate of 70 miles per hour. The function rule that represents this is 70x, where x is the number of hours. Make a table to find out how many hours they have driven at 140 miles, 280 miles and 350 miles. Do this on your own.

68. Function Tables 2 70(2) 140 4 70(4) 280 5 70(5) 350
The Gomez family is traveling at a rate of 70 miles per hour. The function rule that represents this is 70x, where x is the number of hours. Make a table to find out how many hours they have driven at 140 miles, 280 miles and 350 miles. .
Input(x)
70x
Output(y) 2
70(2)
140 4
70(4)
280 5
70(5)
350

69. Function Tables
Isaiah is buying jelly beans. In bulk, they cost $3 per pound, and a candy dish costs $2. The function rule, 3x + 2 where x is the number of pounds, can be used to find the total cost of x pounds of jelly beans and 1 dish. Make a table that shows the total cost of buying 2, 3, and 4 pounds of jelly beans and 1 dish. Do this on your own.

70. Function Tables
Isaiah is buying jelly beans. In bulk, they cost $3 per pound, and a candy dish costs $2. The function rule, 3x + 2 where x is the number of pounds, can be used to find the total cost of x pounds of jelly beans and 1 dish. Make a table that shows the total cost of buying 2, 3, and 4 pounds of jelly beans and 1 dish. .

71. Function Tables u
Daniella is finding the output when the function rule is 10 ÷ x and the input is 2. Find her mistake and correct it.

72. Function Tables u
Daniella is finding the output when the function rule is 10 ÷ x and the input is 2. Find her mistake and correct it.
She divide the input by 10
instead dividing
by 2.
10 ÷ 2 = 5

73. Retakes Thursday after school
Function Tables
Agenda Notes
Skills Practice 8.1
Due Thursday, Feb 9
If you complete this, read pages and complete
Mid-Chapter 8 Quiz –
Wednesday, Feb 15
Retakes Thursday after school