AL1-L32 Algebra Practice : Notation, Algebraic Expression

(Part 1) TEACHING(15-20mins)                                         

1. Using a letter to represent a known no, notation, representation and interpretation

2. Simplify linear expression (excluding bracket)

3. Solving simple linear equation (whole number coefficient)

(Part2) Core PRACTICE (35-55mins)                 

State the algebraic expression for each of the following.

1.  Add 5 to K

2.  Y more than 8

3.  Subtract x from 12

4. 11 less than z

Find the value of each expression when p =6

5    10 p – 13

6.    12 – 4 p

                3

7.    3p + 1

         4      2

8.    7p + 9

            3

Simplify

9.    3y +4y – 2y

10.  8c + 5 – 2c -3

11.  5t + 8 – t

(II) Word Problems 

12. Find the value of 8𝑤− 3w if 𝑤= 4 (18/s/17)
                                           2

13.  What is the value of 21w – w +1 when w = 2? 

                                        10

14. *  What is the value of 10 + 3y  when y = 4?

                                                 2

For Question 15 and 16.
John has y sweet. Peter has 4 times as many sweets as John. Peter bought another 9 sweets.

15. Find the number of sweets Peter has more than John after he bought another 9 sweets in terms of y.

16. If John has 27 sweets. How many more sweet does John have than Peter?

Extra

1.  Mary had $4y. After buying some cloth at $7 per metre, she had $y left. How many metre of cloth did she buy?

2.   At a concert, there were X men and twice the number of women. During the interval, 4 men and 7 women left the concert.

(a)   How many people left during the interval?

(b)   How many people were there at the concert after the interval?

(c)   If X = 400, how many people were there at the convert after the interval?

3.*  Randy sold (4k + 1) tickets on Monday. He sold K more tickets on Tuesday than on Monday. How many tickets did he sell altogether? Give your answer in terms of k in the simplest form.

4.*  Three boys collected plastic bottles for recycling. Jona collected 2Y bottles which was half as many as what Zack collected. Zack collected 7 bottles more than Lionel. Hoe many bottle did they collect altogether? Give your answer in terms of Y in the simplest form.

5.*  Joyce had 4w apples. She ate 1 apple and gave w apples to her friend. Joyce’s sisters then ate half of the remaining apples. Hoe many apples had she left? Give your answer in terms of w in the simplest form.

6. Find the value of each expression when q = 2

a    11q – 13

b.   42 – 4q

                5

c.    9q + 27

         4

d.    14 p + 5
             7

7. State the algebraic expression.

a.  Add 2p to 10

b.  12 more than K

c. Subtract 8 from 3J

d. Y less than 4

8.  Simplify

a.  3y + 7 + y – 2

b.  4d - 5 – 2d - 3

TheMathbooklets Content Page 
Practice Content Page 

Algebra Answer Key

1.         k+5

2.         Y+8

3.         12 –x

4.         z-11

5.         47

6.         6

7.         5

8.         17

9.         5y

10.      6c + 2

11.      4t + 8

12.      26

13.      3.2

14.      60

15.      4y + 9

16.      117