Sequences
Following the pattern, what are the next three numbers in the sequence?
87, 81, 75, 69,...
___, ___, ___
87 → 81 → 75 → 69
Each time, the number decreases by 6.
Continue subtracting 6:
Decide whether the equation is true or false.
7 x 5 = 9 x 4
7 x 5 is 35
9 x 4 = 36
False
What are numbers you multiply together called?
Factor
Find the unknown number.
n x 7 = 21
n = 3
The school bookstore had 379 pencils. In one week, the bookstore sold 187 pencils. The manager ordered 450 more pencils. How many pencils does the bookstore have now?
Start with the pencils the bookstore had:
379
Subtract the pencils sold:
379−187=192
Then add the new order:
192+450=642
45, 63, 81, 99, 117
Describe the pattern.
45 → 63 → 81 → 99 → 117
Each time, the number increases by 18.
Decide whether the equation is true or false.
8 x 7 = 9 x 6
8 x 7 = 56
9 x 6 =54
False
What is the answer to a multiplication problem called?
Product
Find the unknown number.
72 ÷ n = 12
n = 6
Jose counted beetles for a project. He saw 5 beetles at the park each month and 3 beetles in his backyard each month. How many beetles did he count in 4 months?
5 (park) + 3 (backyard) = 8 beetles per month
Now multiply by 4 months:
8×4=32
Jose counted 32 beetles in 4 months.
The first four numbers in a sequence are shown. Following the pattern, which numbers are part of the sequence?
Select all that apply.
38, 44, 50, 56, ...
A. 80
B. 84
C. 92
D. 96
E. 104
38 → 44 → 50 → 56
Each time, the number increases by 6.
A. 80
C. 92
E. 104
Determine if this equation is true or false.
6 x 7 = 9 x 5
6 x 7 = 42
9 x 5 = 45
False
What is the answer to an addition problem called?
A. Sum
B. Product
C. Variable
D. Difference
A. Sum
m ÷ 8 = 5
Find the value or m.
A. m = 35
B. m = 40
C. m = 45
D. m = 48
B. m = 40
Alberto sells magazine subscriptions to his neighbors. Three neighbors each buy 3 subscriptions. There are 8 issues in each subscription. Write and solve equations to find the total number of magazing issues all of his neighbors got.
3 neighbors x 3 subscriptions each = 9 subscriptions
9 x 8 issues = 72 magazine issues
Mr. Sandoval buys 24 oranges for his children's lunches. On the second day there are 20 oranges. On the third day there are 16 oranges. On the fourth day there are 12 oranges left. Following the pattern how many oranges will he have on the sixth day?
Look at the pattern of oranges:
24 → 20 → 16 → 12
Each day, the number of oranges decreases by 4.
Continue the pattern:
Fill in the missing numbers that will make the equation true. There is more than one correct answer.
108 ÷ 9 = __ x __
108 ÷ 9 = __ x __
108 ÷ 9 = 12
A Variable
Emma works at a diner. On Monday, she served 7 tables with 6 people at each table. On Tuesday, she served 72 people. She wants to know how many more people she served on Tuesday than on Monday. (+, -, x, ÷)
7 ___ 6 = m
72 ___ 42 = d
7×6=m
m = 42
72 - 42 = d
d = 30
Mrs. Antwi lives 8 miles from her office. She drives to her office and back 5 days a each week. On saturday she also drives 173 miles to visit her sister. How many miles does Mrs. Antwi drive each week?
8 miles to the office + 8 miles home = 16 miles a day
16 miles a day x 5 days a week = 80 miles
80 miles + 173 (saturday) = 253
Following the pattern, what is the seventh number in this sequence?
27, 44, 61, 78,...
A. 121
B. 125
C. 129
D. 133
27 → 44 → 61 → 78
Each time, we add 17.
Now continue the sequence:
Which of these equations are true?
Select all that apply.
A. 6 x 4 = 2 x 12
B. 28 ÷ 4 = 48 ÷ 6
C. 10 x 3 = 36 ÷ 9
D. 12 ÷ 3 = 36 ÷ 9
E. 6 x 6 = 4 x 9
A.
D.
E.
What is the answer to a division problem called?
A. Product
B. Sum
C. Quotient
C. Quotient
It takes Roshaun 6 minutes to fold a paper butterfly. Which equation can you use to find n, the number of minutes it should take Roshaun to fold 10 butterflies?
A. n = 10 x 6
B. 6 x n = 10
C. 10 ÷ 6 = n
D. 6 ÷ n = 10
Each butterfly takes 6 minutes.
For 10 butterflies, we multiply:
n=10×6
So the correct equation is:
A. n = 10 × 6
Tyler has 127 trading card in his collection. Chloe has 63 cards in her collection. Then Chloe gives her collection away. She divides it equally among Tyler and 8 other friends How many cards does Tyler have now?
First, count how many people Chloe gives cards to:
Tyler + 8 friends = 9 people
Next, divide Chloe’s cards equally:
63÷9 =7 cards each
Now add to Tyler’s original amount:
127+7=134
Tyler now has 134 cards.