Algebra

Algebra

by AuMihi Tapara

Algebra

​Learning Intentions:

​We are learning to:

• ​solve algebra equations by finding the value of a letter

• ​combine like terms using algebra equations

​

​Success Criteria:

• ​name the value of a letter to make our algebra equation correct

• ​combine all like terms using algebra equations

Multiple Choice

What is the value of a?

a + 5 = 12

12 - a = 5

​a + 5 = 12

​12 - a = 5

​

We need to find which number we would use instead of a to make this equation correct.

• 5

• 6

• 7

• 8

​What is the value of a?

​a + 5 = 12

​12 - a = 5

​

We need to find which number we would use instead of a to make this equation correct.

​

​

​If a = 7 then:

​7 + 5 = 12

​12 - 7 = 5

Multiple Choice

What is the value of a?

a x 5 = 25

25 ÷ 5 = a

We need to find which number we would use instead of a to make this equation correct.

• 5

• 10

• 15

• 20

​What is the value of a?

​a x 5 = 25

​25 ÷ 5 = a

​

​We need to find which number we would use instead of a to make this equation correct.

​

​If a = 5 then:

​5 x 5 = 25

​25 ÷ 5 = 5

​Multiplying in algebra

​You may also see terms like this in algebra: 2a or 7a

​When there is no equation symbol between the number and letter, you need to multiply.

​

​2a = 10 or 2 x a = 10

​Therefore a = 5

​7a = 14 or 7 x a = 14

​a = 2

Multiple Choice

What is the value of a?

8a = 32

• 2

• 4

• 6

• 8

Multiple Choice

What is the value of a?

12a = 36

• 2

• 3

• 4

• 5

​What if the letter changes?

​It doesn't matter which letter is shown in an algebraic equation when you are finding the value.

​

​If 2a = 10 then a = 5

​If 2b = 10 then b = 5

​If 2c = 10 then c = 5

​If 2z = 10 then z = 5

​

​The letters are there to represent an unknown number.

What is a like term in algebra?

​A like term in algebra is a value that is the same.

​a is the same as a

​b is the same as b

​

​If I have 2a + 3a this means that I have 2 of the letter a plus 3 of the letter a. These are like terms as the letter is the same. Therefore I would have 5a in total.

​

​If I have 2a + 3b, this would mean that I have 2 of the letter a and 3 of the letter b. These are different letters so I would not add them together.

​Combining like terms

​Watch the following video:

​

​https://youtu.be/CLWpkv6ccpA

Multiple Select

6a + 3a =

• 6 + 3 + a

• 9a

• a + a

• a + a + a + a + a + a + a + a + a

Multiple Choice

2a + 6a + 5a =

• 8a

• 11a

• 13a

• 15a

Multiple Choice

2a + 3b + 5a =

• 7a + 3b

• 2a + 8b

• 10a

• 2a + 3b

Multiple Choice

6b + 3c + 2b + 5c + 4d

• 8b + 12d

• 8b + 8c + 4d

• 6b + 10c + 4d

• 20b