1. Algebra Reminder 1

2. Simplifying
If terms have the same letters they are called LIKE terms. If they have different letters they are called UNLIKE terms. Order of letters does not matter
LIKE terms can be added or subtracted.
3a + 5a = 8a
7bc – 4bc + 2bc = 5bc
3ab + 7ba = 10ab
UNLIKE terms ______ be added or subtracted.
3a + 5b = 3a + 5b

3. If there are both LIKE and UNLIKE terms just add or subtract the like ones.
3y + 5z + 11y =
3y + 11y + 5z = 14y +5z
REMEMBER: The sign in front of each number belongs to that number (no sign means +).
10e + 5a – 5e - 20a + 2e =
10e – 5e + 2e + 5a - 20a = 7e - 15a

4. Questions 3a + 7a = 13b – 5b = 5c - 2c + 10c = 5d + d + 6d =
9e – 4e + e =
12f + 5g =
19h - 3h + 7i =
12j + 3k – k =
100L – 17M + 3M =
7xz – 6yx + 3zx – 19yz + 12xy – zy =

5. Questions 3a + 7a = 13b – 5b = 5c - 2c + 10c = 5d + d + 6d =
9e – 4e + e =
12f + 5g =
19h - 3h + 7i =
12j + 3k – k =
100L – 17M + 3M =
7xz – 6yx + 3zx – 19yz + 12xy – zy =
10a 8b
13c
12d 6e
12f + 5g
16h + 7i
12j + 2k
100L -14M
10xz + 6xy – 20z

6. Questions 18a 12b 202c 17d 6e 17.35F – 0.055G 19h – 3i 100j + 23k
5a + 13a =
23b – 11b =
4c - 2c + 200c =
13d + 5d – d =
3e – 10e + e =
17.35F – 0.055G =
12h – 3i + 7h =
100j + 30k – 7k =
5L – 17M – 30L=
7Y – 5Z + 30Y – 11ZY + 12Z – Y + YZ =
18a
12b
202c
17d 6e
17.35F – 0.055G
19h – 3i
100j + 23k
– 25L – 17M
36Y + 7Z – 10YZ

7. Algebra Multiplying
There are three steps to multiply things in algebra. Signs  Numbers  Letters

8. Step 1
Decide if your answer is positive or negative. + times + Answer is _________. – times – Answer is _________. – times + Answer is _________. + times – Answer is _________. e.g. -3a x 5b answer is _________.
positive
positive
negative
negative
negative

9. Step 2
Multiply the numbers. Just multiply the numbers, ignore signs and letters. e.g. -3a x 5b number is _________. 8C x 10g number is _________. 15 80

10. Step 3
Write all of the letters in the question next to the sign and number. REMEMBER: Powers are where there are lots of the same type of letter. t3 is ttt. e.g. -3a x 5b letters are _________. 8C x 10g letters are _________. 0.5f x 20t3 letters are _________. ab Cg
ft3

11. Then you put it all together e. g
Then you put it all together e.g. 5p x -3y sign = negative number = 15 letters = py Answer = -15py

12. 9c x 3b
12a x -3e
7c x 6c
-5d x - 2y
5e x 20eb
-2y x -7y2
-8tu x -4rt3
4d x -12d2r
19a x -2by2
-4de x -9ek
= 27cb
5 x 7u
-8 x -7y2
12e2y x -4
y x 12e
8d x d
-100G x G2
0.4r x -10br
0.1G2 x 52GT
2d x 15r x -2t
4y x -0.1y2 x
= 35u
= -36ae
= 56y
= 42c2
= -48e2y
= 10dy
= 12ey
= 100e2b
= 8d2
= -100G3
= 14y3
= 32rt4u
= -4br2
= -48rd3
= 5.2G3T
= -38aby2
= -60drt
= 36de2k
= -0.8y3x2

13. Algebra Dividing
There are three steps to divide things in algebra. Signs  Numbers  Letters

14. Step 1
Decide if your answer is positive or negative. + divided by + Answer is _________. – divided by – Answer is _________. – divided by + Answer is _________. + divided by – Answer is _________. e.g. -3a ÷ -5b answer is _________.
positive
positive
negative
negative
positive

15. Step 2
Simplify the numbers. Make the numbers into a fraction. Simplify the fraction if you can. e.g. 3a ÷ 5b fraction is ___. 9C ÷ 21g number is ___ = ___. 3 5 9 21 3 7

16. Step 3
Write all of the letters. REMEMBER: Powers are where there are lots of the same type of letter. t3 is ttt. Cross out any letters that are on both the top and the bottom. e.g. -3ac x 5bc top letters are _________. bottom letters are _________. a ac b bc

17. Put your answer together as a fraction. If one of the numbers is a 1
Put your answer together as a fraction. If one of the numbers is a 1. You don’t have to write it unless it is the only thing on top of the fraction.