Sequence and Pattern
Translation #2
Translation #2
Equations & Inequalities
Word Problems
100

Continue this sequence and describe the pattern in words 

7, 12, 17, 22, ___, ___, ___

7, 12, 17, 22, 27, 32,37

Plus 5 each time (y=5x)

100

Thirty divided by six gives five.

30\div6=5

100

Translate this back with words

(3x)/2

three times x divided by 7

100

Solve and graph this inequality

3x < 12

x<4

100

1. The Book Borrowers
At the school library, there were 87 fiction books on a cart at the start of the day. By the afternoon, only 24 remained. How many fiction books were borrowed during the day?


Let b = number of books borrowed.

87 - b = 24

b = 63

200

Continue this sequence and describe the pattern using y and x 

5, 10, 15, 20, ___, ___, ___

5, 10, 15, 20, 25, 30,35

y = 5x

200

You must score at least 70 to pass. 你必须至少得分70分才能通过。

x\geq70

200

Translate this back with words

(3x-4y)×2

The difference between 3x and 4y multiplied by 2

200

Solve this equation and verify your answer


5a+1 = 16

a = 3

5*3+1=16

200

For a baking project, Maya needs to divide a 18-pound bag of flour equally into 6 large containers. How many pounds of flour will be in each container?


Let p = pounds of flour per container.

18/6=p


p=3

300
Write a 5-term sequence that corresponds to this pattern:

Multiply by 2 and then minus 1

2 3 5 9 17 (something like that

300

A number add n, then multiply the sum by 3.

(x+n)*3

300

You should drink no fewer than 2 liters of water. 你应至少喝2升水。

x\leq2

300

Solve and verify this euqation


x/3+23=27

x = 12

12/3+23=27

300

Liam has a cell phone plan that charges a flat monthly fee of $25, plus $2 per gb of data. His bill for this month was $39. How many gbs of data did he use?
Let t = gbs of data 

25+2t=39

t = 7

400

Explain the pattern using both words and variable 使用单词和变量解释模式

Will there be 409 small hexagons in this sequence. Explain your answer. 这个序列中会有 409 个小六边形吗?解释你的答案。

- the pattern is x+3

- 409 - 4 = 405, 405 is divisible by 3, so yes

400

You put in $y to buy something that costs x dollars, and got $8 change. 你投入10美元买了价格x美元的东西,换了8美元零钱。

y-x=8

400
  • A coat is on sale for 50% off and the sale price is $q. Let be the original price. 一件外套打 50% 折扣后售价为 $q。设原价为

p/2=q

400

Solve and graph this inequality

x÷2-4>20

x>48

400

For his birthday party, Sam bought 4 identical pizzas. After giving 2 slices to his little sister, he had 30 slices left for his friends. If each pizza was cut into the same number of slices, how many slices were in each whole pizza?


Let s = number of slices per pizza.

4s -2 = 30


s = 8

500

Solve this inequality and graph 

k/2-5≤ 3

k\leq16

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