Directions: Give the perimeter of each figure as a simplified expression.
Parts of an Expression
Notes Page 1-Parts of an Expression
Question 12
12.
1. How many terms does the expression have?
_______
2. What are the variables?
_______ and _______
3. What are the coefficients?
_______ and _______
4. What is the constant?
_______
Question 13
13.
1. How many terms does the expression have?
_______
2. What are the variables?
_______ and _______ and _______
3. What are the coefficients?
_______ and _______ and _______
4. What is the constant?
_______
Evaluating Expressions
Notes Page 2-Evaluating Expressions
Question 14
14.
Evaluate each expression using the variable replacements.
Question 15
15.
The cost of either a can of gourmet chili is $2.25 and a can of hearty soup is $1.75. Ton Nam bought cans of chili and soup. He wrote an expression to describe the purchase where c represents the number of cans of chili and s represents the number of cans of soup. Write an expression to present how much he might spend based on the number of cans of each that he bought.
Using Distributive Property
Question 16
16.
Simplify each expression by distributing.
Question 17
17.
Simplify each expression by distributing.
Question 18
18.
Simplify each expression by distributing and combining like terms.
Question 19
19.
Simplify each expression by distributing and combining like terms.
Solving Equations
Notes Page 4- Solving Equation Basics
Question 20
20.
Draggable item
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Corresponding Item
arrow_right_alt
arrow_right_alt
arrow_right_alt
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Question 21
21.
Question 22
22.
Question 23
23.
Question 24
24.
Solve this equation.
Question 25
25.
Question 26
26.
Question 27
27.
Solve this equation.
17 + 3k = 26
Question 28
28.
Solve this equation.
15h - 9 = - 54
Question 29
29.
Solve this equation.
Question 30
30.
Solving Multi-Step Equations
Notes Page 5-Solving Multi-Step Equations
Question 31
31.
Question 32
32.
Solve this multi-step equation. Show your work (SYW)
Question 33
33.
Question 34
34.
Solve this multi-step equation. Show your work (SYW)
Question 35
35.
Solve this multi-step equation. Show your work (SYW)
Solving Equations with Variables on Both Sides of the Equal Sign
Notes Page 6: Solving Equations with Variables on Both Sides of the Equal Sign
Question 36
36.
Solve this equation
Question 37
37.
Solve this equation
Solving Proportions
Question 38
38.
Cross multiply and fill in each box with the right product.
a. _______
b. _______
Question 39
39.
Solve each proportion. Show your work! Or suffer the consequences...
Question 40
40.
Solve each proportion. Show your work! Or suffer the consequences...
Question 41
41.
Cross multiply and fill in each box with the right product.
a. _______
b. _______
Question 42
42.
Solve each proportion. Show your work! Or suffer the consequences...
Question 43
43.
Solve each proportion. Show your work! Or suffer the consequences...
Question 44
44.
Jasmine bought 1000 robux for $8 with her parents' money. At the same exchange rate, how many robux can Lisa buy if she stole $24 from her parents?
Solving Literal Equations
Question 45
45.
Directions: Solve this equation for the specific letter. SHOW ALL STEPS!
Question 46
46.
Directions: Solve this equation for the specific letter. SHOW ALL STEPS!
Solving Inequalities
Notes Page 9-Solving Inequalities
Question 47
47.
Solve and graph the inequality for the given variable.
Question 48
48.
Solve and graph the inequality for the given variable.
Day 3: Unit 2 Understanding Functions
Main Idea: Representing Relations and Functions
Question 49
49.
Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.
Relations vs. Functions
Page 11-What are Functions?
Question 50
50.
Determine whether the given relation is a function. (Function or Not a Function)
Question 51
51.
Determine whether the given relation is a function. (Function or Not a Function)
Question 52
52.
Determine whether the given relation is a function. (Function or Not a Function)
Question 53
53.
Determine whether the given relation is a function. (Function or Not a Function)
Vertical Line Test
Page 11-What are Functions?
Question 54
54.
Determine whether the given relation is a function. (Function or Not a Function)
Question 55
55.
Determine whether the given relation is a function. (Function or Not a Function)
Question 56
56.
Determine whether the given relation is a function. (Function or Not a Function)
Equations as Functions--Graphing by Functions
Question 57
57.
Directions: Complete each function table, then graph the function.
Evaluating Functions
Notes Page 12 Equations as Functions
Question 58
58.
Evaluate each function for the given value.
For questions 60 and 61, use the functions to the left.
Required
10
Required
10
Arithmetic Sequences
Page 13-Arithmetic Sequences
Question 61
61.
Find the next three terms of each sequence.
3, 7, 11, 15, _______ ,_______ ,_______
Question 62
62.
Find the next three terms of each sequence.
10, 6, 2, _______ ,_______ ,_______
Question 63
63.
What does f(1) mean?
Question 64
64.
What does f(n) mean?
Question 65
65.
What does d mean?
Question 66
66.
What does n mean?
Question 67
67.
What is the explicit rule of this arithmetic sequence?
Question 68
68.
What is the explicit rule of this arithmetic sequence?
Required
10
Required
10
Required
10
Required
10
Required
10
Required
10
Required
10
Required
10
Day 4: Unit 3 Linear Equations
Finding Slope
Notes Page 14 Rate of Change and Slope
Question 77
77.
Find the slope of this line:
Question 78
78.
Find the slope of this line:
Slope-Intercept Form
Notes Page 15 Slope-Intercept Form
Slope-Intercept Form
Slope (m)
y-intercept (b)
Question 79
79.
Write the equation in slope intercept form with the given information:
Question 80
80.
Write the equation in slope intercept form with the given information:
Question 81
81.
Write the equation of this line in slope-intercept form. (10pts)
Question 82
82.
Write the equation of this line in slope-intercept form. (10pts)
Question 83
83.
Question 84
84.
Slope Formula
Notes Page 16 Slope Formula
Question 85
85.
Directions: Find the slope between each pair of points:
(-5, 8) and (-7, 5)
Question 86
86.
Directions: Find the slope between each pair of points:
(1, 3) and (3, 9)
Graphing Slope-Intercept Form
Page 17 Graphing Linear Equations--Using Slope-Intercept Form
Question 87
87.
Use the slope and the y-intercept of each equation to graph the equation.
y=mx+b
y=-2x-2
slope:
_______
y-intercept:
_______
Question 88
88.
Use the slope and the y-intercept of each equation to graph the equation.
y=mx+b
slope:
_______
y-intercept:
_______
Graphing Using x and y Intercepts
Notes Page 19 Graphing Using x and y Intercepts
Question 89
89.
What are the x and y-intercepts of this function?
x-intercept
_______
y-intercept
_______
Question 90
90.
What are the x and y-intercepts of this equation:
x-int
_______
y-int
_______
Question 91
91.
Use x and y-intercepts of this equation to graph it.
Question 92
92.
Use x and y-intercepts of this equation to graph it.
Match the operation with its inverse.
inverse of division
subtraction
inverse of addition
addition
inverse of subtraction
division
inverse of multiplication
multiplication
Put these operations in the order by which you perform them to simplify an expression. (first to last)
division
exponents
multiplication
addition
parentheses ( )
subtraction
To solve an equation we need to undo operations to isolate a variable.So, we need toundoPEMDAS. This means we need to work in a different order.
Put these operations in the order by which you perform them to solve an equation. (first to last)
multiplication and division
parentheses ( )
addition and subtraction (outside parentheses)
Put the steps to solving this equation in the right order.
the result is x=7
divide both sides of the equation by 3
add 7 to both sides of the equation
Before we start solving, we identify the variable a, so we can solve for it the variable
What is the first step to solving this equation?
multiplying both sides of the equation by 4
subtraction both sides of the equation by 3
dividing both sides of the equation by 4
subtracting both sides of the equation by 11
What is the second step to solving this equation?
dividing both sides of the equation by 4
subtracting both sides of the equation by 11
subtraction both sides of the equation by 3
multiplying both sides of the equation by 4
Put the steps in the correct order to solve this multistep equation.
The solution is a = 5
Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160
undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
Use distribution to multiply (7a+5) by -4 to get -28a - 20
Put the steps in the correct order to solve this multistep equation.
undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
The solution is x = -4
undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4
Simplify like terms to get the equation -7x - 3 = 25
Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
Question 59
59.
Evaluate each function for the given value.
Question 60
60.
Evaluate each function for the given value.
Question 69
69.
Find the first term and common difference in this sequence:
1, 3, 5, 7, ...
a₁=_______
d=_______
Question 70
70.
Write the explicit formula to find the nᵗʰ term of this sequence (you can use either notation):
1, 3, 5, 7, ...
Question 71
71.
Use the explicit formula you created from the last problem to find the 24ᵗʰ term of this sequence:
1, 3, 5, 7, ...
Question 72
72.
Find the first term and common difference in this sequence:
-1, -4, -7, -10, ...
a₁=_______
d=_______
Question 73
73.
Write an equation to find the nᵗʰ term of this sequence (you can use either notation):
-1, -4, -7, -10, ...
Question 74
74.
Use the explicit formula you created from the last problem to find the 24ᵗʰ term of this sequence:
-1, -4, -7, -10, ...
Question 75
75.
Charlie deposited $115 in a savings account. Each week thereafter, he deposits $35 into the account.
Write a formula to represent this sequence.
Question 76
76.
Charlie deposited $115 in a savings account. Each week thereafter, he deposits $35 into the account.
How much total money has Charlie
deposited after 30 weeks?
Given the slope and y-intercept of the line, write the equation
in slope-intercept form:
slope = 3; y-intercept = -4
Given the slope and y-intercept of the line, write the equation
