Travels
Is this a linear pattern?
1, 2, 4, 8, 16, 32 ... ?
No. The pattern must go up by the same amount each time.
2x + 3m
x=1, m=2
8
8 more than a number
x + 8
What is x?
6x = 12
x=2
22-y=12
10
12, 17, 22, 27...
Find the 20th term, and state the algebraic rule.
5x + 7
20th: 107
Mrs. Opler and Ms. Robins are entering a math competition. For every level A question they get correct, they earn $3. For every level B question they get correct, they earn $6.
a) Write an algebraic expression for the number of level A questions.
b) Write an algebraic expression for the number of level B questions.
c) How much would they earn if they got 10 level 1 questions correct, and 15 level 2? Solve algebraically using an expression.
a) 3a
b) 6b
c) 3a + 6b
= 3(10) + 6(15)
= 30 + 90
= 120
A number divided by 3
x/3
Solve this equation. Show the steps.
3b + 4 = 16
b = 4
30-y=17
13
Start at 32 and divide by 2 each time.
Find the fourth term
32, 16, 8, 4
A book store is closing. It is selling all comic books for $4 and all chapter books for $6.
a) Write an expression to represent the cost of comic books and chapter books.
a) 4c + 6b
The difference between 3 times a number and 12
3x - 12
There are 8 booths with people at the restaurant and another 6 people at the counter. There are a total of 38 people at the restaurant.
How many are in each booth?
Write an algebraic equation, and solve.
8x + 6 = 38
x=4
6m=42
7
1, 4, 9, 16, 25, ...
What are the next 3 terms?
36, 49, 64
Rule: x2
2nx – 2n + 18/m
m=9, n=2, x=1
2
Ten divided by the sum of s and t
10/(s+t)
Ms. Robins & Mrs. Opler went to Leah's bakery. Ms. Robins bought 4 bags of cookies and 9 date squares. This is the same amount of treats as Mrs. Opler who bought 8 bags of cookies and 1 date square.
How many cookies were in each bag?
4x + 9 = 8x + 1
8=4x
x=2
90/x+10=40
3
1, 8, 27, 64...
What is the next term? And algebraic rule?
x3
5th term: 125
10x2 + 3y + 3x2
x=5, y=6
343
One less than the product of four and a number is equal to 11.
4x - 1 = 11
If 7x = 28 and y - x = 6, what is xy?
7(4) = 28
x=4
y-4 = 6
10-4 = 6
y=10
xy
4(10) = 40