Directions: Give the perimeter of each figure as a simplified expression.
Parts of an Expression
Notes Page 1-Parts of an Expression
Question 13
13.
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 14
14.
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 15
15.
Evaluate each expression using the variable replacements.
Question 16
16.
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 17
17.
Simplify each expression by distributing.
Question 18
18.
Simplify each expression by distributing.
Question 19
19.
Simplify each expression by distributing and combining like terms.
Question 20
20.
Simplify each expression by distributing and combining like terms.
Solving Equations
Notes Page 4- Solving Equation Basics
Question 21
21.
Draggable item
arrow_right_alt
Corresponding Item
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
Question 22
22.
Question 23
23.
Question 24
24.
Question 25
25.
Solve this equation.
Question 26
26.
Question 27
27.
Question 28
28.
Solve this equation.
17 + 3k = 26
Question 29
29.
Solve this equation.
15h - 9 = - 54
Question 30
30.
Solve this equation.
Question 31
31.
Solving Multi-Step Equations
Notes Page 5-Solving Multi-Step Equations
Question 32
32.
Question 33
33.
Solve this multi-step equation. Show your work (SYW)
Question 34
34.
Question 35
35.
Solve this multi-step equation. Show your work (SYW)
Question 36
36.
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 37
37.
Solve this equation
Question 38
38.
Solve this equation
Solving Proportions
Question 39
39.
Cross multiply and fill in each box with the right product.
a. _______
b. _______
Question 40
40.
Solve each proportion. Show your work! Or suffer the consequences...
Question 41
41.
Solve each proportion. Show your work! Or suffer the consequences...
Question 42
42.
Cross multiply and fill in each box with the right product.
a. _______
b. _______
Question 43
43.
Solve each proportion. Show your work! Or suffer the consequences...
Question 44
44.
Solve each proportion. Show your work! Or suffer the consequences...
Question 45
45.
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 46
46.
Directions: Solve this equation for the specific letter. SHOW ALL STEPS!
Question 47
47.
Directions: Solve this equation for the specific letter. SHOW ALL STEPS!
Solving Inequalities
Notes Page 9-Solving Inequalities
Question 48
48.
Solve and graph the inequality for the given variable.
Question 49
49.
Solve and graph the inequality for the given variable.
Day 3: Unit 2 Understanding Functions
Main Idea: Representing Relations and Functions
Question 50
50.
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 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)
Question 54
54.
Determine whether the given relation is a function. (Function or Not a Function)
Vertical Line Test
Page 11-What are Functions?
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)
Question 57
57.
Determine whether the given relation is a function. (Function or Not a Function)
Equations as Functions--Graphing by Functions
Question 58
58.
Directions: Complete each function table, then graph the function.
Evaluating Functions
Notes Page 12 Equations as Functions
Question 59
59.
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 62
62.
Find the next three terms of each sequence.
3, 7, 11, 15, _______ ,_______ ,_______
Question 63
63.
Find the next three terms of each sequence.
10, 6, 2, _______ ,_______ ,_______
Question 64
64.
What does f(1) mean?
Question 65
65.
What does f(n) mean?
Question 66
66.
What does d mean?
Question 67
67.
What does n mean?
Question 68
68.
What is the explicit rule of this arithmetic sequence?
Question 69
69.
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 78
78.
Find the slope of this line:
Question 79
79.
Find the slope of this line:
Slope-Intercept Form
Notes Page 15 Slope-Intercept Form
Slope-Intercept Form
Slope (m)
y-intercept (b)
Question 80
80.
Write the equation in slope intercept form with the given information:
Question 81
81.
Write the equation in slope intercept form with the given information:
Question 82
82.
Write the equation of this line in slope-intercept form. (10pts)
Question 83
83.
Write the equation of this line in slope-intercept form. (10pts)
Question 84
84.
Question 85
85.
Slope Formula
Notes Page 16 Slope Formula
Question 86
86.
Directions: Find the slope between each pair of points:
(-5, 8) and (-7, 5)
Question 87
87.
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 88
88.
Use the slope and the y-intercept of each equation to graph the equation.
y=mx+b
y=-2x-2
slope:
_______
y-intercept:
_______
Question 89
89.
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 90
90.
What are the x and y-intercepts of this function?
x-intercept
_______
y-intercept
_______
Question 91
91.
What are the x and y-intercepts of this equation:
x-int
_______
y-int
_______
Question 92
92.
Use x and y-intercepts of this equation to graph it.
Question 93
93.
Use x and y-intercepts of this equation to graph it.
Match the operation with its inverse.
inverse of multiplication
subtraction
inverse of division
addition
inverse of subtraction
division
inverse of addition
multiplication
Put these operations in the order by which you perform them to simplify an expression. (first to last)
subtraction
multiplication
addition
division
parentheses ( )
exponents
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)
parentheses ( )
addition and subtraction (outside parentheses)
multiplication and division
Put the steps to solving this equation in the right order.
divide both sides of the equation by 3
the result is x=7
Before we start solving, we identify the variable a, so we can solve for it the variable
add 7 to both sides of the equation
What is the first step to solving this equation?
subtraction both sides of the equation by 3
multiplying both sides of the equation by 4
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?
subtraction both sides of the equation by 3
multiplying both sides of the equation by 4
subtracting both sides of the equation by 11
dividing both sides of the equation by 4
Put the steps in the correct order to solve this multistep equation.
Use distribution to multiply (7a+5) by -4 to get -28a - 20
Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160
undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
The solution is a = 5
Put the steps in the correct order to solve this multistep equation.
undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4
undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
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
The solution is x = -4
Question 60
60.
Evaluate each function for the given value.
Question 61
61.
Evaluate each function for the given value.
Question 70
70.
Find the first term and common difference in this sequence:
1, 3, 5, 7, ...
a₁=_______
d=_______
Question 71
71.
Write the explicit formula to find the nᵗʰ term of this sequence (you can use either notation):
1, 3, 5, 7, ...
Question 72
72.
Use the explicit formula you created from the last problem to find the 24ᵗʰ term of this sequence:
1, 3, 5, 7, ...
Question 73
73.
Find the first term and common difference in this sequence:
-1, -4, -7, -10, ...
a₁=_______
d=_______
Question 74
74.
Write an equation to find the nᵗʰ term of this sequence (you can use either notation):
-1, -4, -7, -10, ...
Question 75
75.
Use the explicit formula you created from the last problem to find the 24ᵗʰ term of this sequence:
-1, -4, -7, -10, ...
Question 76
76.
Charlie deposited $115 in a savings account. Each week thereafter, he deposits $35 into the account.
Write a formula to represent this sequence.
Question 77
77.
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