## Carnegie Learning Algebra II Student Skills Practice 1st Edition Chapter 1 Skills Practice

**Page 235 Problem 1 Answer**

Here, first three patterns are given and we have to find next three patterns.

We can see in given first three patterns, there is an increment by 1 box in row as well as column.

So, we can find pattern 4,5 and 6 by increasing single box in row as well as column.

Therefore, the next three patterns are shown below :-

**Page 235 Problem 2 Answer**

Here, first three terms are given. Now, we have to find next three terms.

A box is increased by 1in middle column as well as one row line is also increased by 1in each pattern.

Therefore, in pattern4,5 and 6 one box in middle column and one row line is increased.

So, the next three patterns are shown below:-

**Page 236 Problem 3 Answer**

Here, first four terms are given. Now, we have to find next three terms

Here, we can see that in pattern1,2,3and 4 the number of boxes are 1,3,5 and 7.

From this it is clear that the number of boxes present in each pattern is increased by2.

Therefore, using this we can find next three terms pattern5,6and7.

The next three pattern are as below :-

Pattern5

Pattern6

Pattern7

**Page 238 Problem 4 Answer**

To find: Here we need to find how many baby plants will she have started after 5

month Given : Here, Charlene has a flourishing spider plant, and she used to cuts three small pieces of the plant after that she separate each babies into its own pot with soil.

After a month she is able to cut three off each original babies. Approach : We will complete the table with the given information

She has a flourishing spider plant and from that she cuts three small pieces of plant so we will calculate accordingly ,from the given information we can draw a table,

So, she will have 243 babies after 5 months.

**Page 238 Problem 5 Answer**

Given the relation.

The aim is to find the white squares.

Black Design-1 is 2

Black design-2 is 4

Black design 6 is 12.

The white part in the design are: 144−12=132

Therefore, there are 132 white boxes.

**Page 239 Problem 6 Answer**

Given the table.

The aim is to find the round 6.

Using the sequence is 4n−1 for round n.

If n=6 then 45.

Therefore, the value is 45.

**Page 239 Problem 7 Answer**

Given that: 6,13,27,55,……

To do: Find the next number in the given series.

Since,

The given series is

13−6=7=7……………………(1)

27−13=14=7×2…………………….(2)

55−27=28=14×2………………(3)

x−55=28×2………………….(4)

So,x=111

Therefore, the next number in the given series is, 111

**Page 239 Problem 8 Answer**

Given that: 3,5,9,17,…

To do: Find the next number in the given series.

Since,The given series is,5−3=2

9−5=4=2×2

17−9=8=4×2

x−17=8×2=16

x=33

Therefore, the next number in the given series is,33

**Page 240 Problem 9 Answer**

Given that: 1,4,7,10,…

To do: Find the next number in the given series.

Since, The given series is,

4−1=3

7−4=3

10−7=3

x−10=3

x=13

Therefore, the next number in the given series is,13

**Page 240 Problem 10 Answer**

Given that: 1,5,9,13,…

To do: Find the next number in the given series.

Since,The given series is,

5−1=4

9−5=4

13−9=4

x−13=4

x=17

Therefore, the next number in the given series is, 17

**Page 240 Problem 11 Answer**

Given that: 5, 8, 14, 26,…

To do: Find the next number in the given series.

Since,The given series is,8−5=3

14−8=3×2=6

26−14=6×2=12

x−26=12×2=24

So,x=54

Therefore, the next number in the given series is, 54