Patterns
PEMDAS
≠ and ||
Numbers and Words
Direct Variation
100
Draw the next step of the pattern!
100
In this problem, what do you have to simplify first?
9 – 5 ÷ (82 x 2) + 10
Parentheses --> Exponents
82 = 64
100
Insert the correct inequality symbol between these two numbers:
–15 –25
–15 > –25
100
What is the difference between Natural numbers and Whole numbers?
Whole numbers include 0, while Natural numbers do not. Whole numbers are 0, 1, 2, 3, 4.... and Natural numbers are just 1, 2, 3, 4...
100
What is the definition of direct variation?
A linear function that can be written as y = kx, where k ≠ 0.
200
Create a table to represent this pattern
x y
1 5
2 10
3 17
200
Solve the problem:
2[13 – (1 + 6)]
12
200
Find the absolute value:
| –6.3 | = ?
| –6.3 | = 6.3
200
List all 5 of the categories that the number 6 fits into.
Real, Rational, Integer, Whole, and Natural
200
What is the constant of variation equation?
k = y/x
300
What is the rule of this pattern (the way this pattern is changing)?
Each step in the pattern adds 6 blocks in a row to the bottom of the previous blocks.
300
Solve the problem:
(9 – 3 x 4 ÷ 6 + 3) ÷ [(8 ÷ 4)2 + 3 x 7 – 20]
2
300
Insert the correct symbol between the two numbers:
| –2. 123123123 | | 2. 123123123 |
| –2. 123123123 | = | 2. 123123123 |
300
What is an imaginary number?
The square root of a negative number.
300
Which table below shows a direct variation function? What is the constant of variation?
Table 1; 19
400
Write an equation to represent this pattern and graph it!
:
y = 3x + 4
400
Simplify the expression by combining like terms:
x + (3y + 2y) ÷ 5 – 4x + 8 – 23
–3x + y
400
Insert the correct symbol between the two numbers:
–7 – ( – 12) | 3 | + | –10 |
–7 – ( – 12) | 3 | + | –10 |
– 7 + 12 3 + 10
5 < 13
400
Solve the following word problem:
The length of my rectangular cactus pot is 3 cm more than its width. If the width is 6 cm, what is the perimeter of my cactus pot?
L = w + 3
w = 6
L = 6 + 3 = 9
P = 2L + 2w = 2(9) + 2(6) = 18 + 12 = 30 cm
400
Which table below is not a direct variation function?
Which value in the table makes it not a direct variation function? What should that value be?
Table 2; 48; It should be 60.
500
Write an equation for this pattern.
y = x2
500
Simplify the expression below:
1/2 y – 3/4 x – (2/3 y – 1/2 x)
–1/4 x – 1/6 y
500
Insert the correct symbol between the two values:
| 25 – 65 | | –12 | – | –28 |
| 25 – 65 | | –12 | – | –28 |
| –40 | 12 – 28
40 > –16
500
Ms. Goldman's quiz redo grade is 12 points less than 3 times her original quiz grade. If her original quiz grade is 32, what is her quiz redo grade?
r = 3q – 12
q = 32
r = 3(32) – 12 = 96 – 12 = 84 points
IN OTHER WORDS, DO YOUR REDOS :)
500
Write the direct variation function for this situation, then solve it!
The total cost for movie tickets varies directly with the number of tickets bought. If 5 movie tickets to the see Joker costs $30, how much would it cost to bring all 25 of us?
k = y/x = $30/5 = 6 or $30 = k (5), so k = 6
y = 6x
y = 6(25) = $150 or 25/5=5, so $30x5=$150