Module Three

Question 1

8x + 3x = ?

Answer 1

11x

Question 2

6m + 3m - 4m = ?

Answer 2

5m

Question 3

7a + a = ?

Answer 3

8a

When doing questions like this, consider the “a” by itself as “1a”.

Question 4

m + m + m = ?

Answer 4

3m

Think of the question as being “1m + 1m + 1m”.

Question 5

3a² + 5a² = ?

Answer 5

8a²

Question 6

4ab + 1ab - 2ab = ?

Answer 6

3ab

Remember: “ab” on its own equals “1ab”.

Question 7

5a + 3b - 2a + b = ?

Answer 7

3a + 4b

Think: collect like terms.
5a - 2a = 3a
+ 3b + b = 4b

= 3a + 4b

Question 8

6a² - 3a - 2a² = ?

Think: collect like terms.

Answer 8

4a² - 3a

6a² - 2a² = 4a²
- 3a
= 4a² - 3a

Question 9

3pq + 2qp = ?

Remember:
5 X 2 = 10. 2 X 5 = 10.
The same applies to qp and pq.

Answer 9

5pq

Question 10

10a - 3x + 7 + x - 4a + 5 = ?

Think: collect like terms.

Answer 10

6a - 2x + 12

10a - 4a = 6a
- 3x + 1x = - 2x
+ 7 + 5 = + 12
= 6a - 2x + 12

Question 11

8 X 3a = ?

Remember: numbers FIRST, then letters.

Answer 11

24a

8 X 3 = 24
24 X a = 24a

Question 12

8a X 2b = ?

Remember: numbers FIRST, then letters.

Answer 12

16ab

8 X 2 = 16
16 X a X b = 16ab

Question 13

5a X bc = ?

Answer 13

5abc

Question 14

(-5p) X 3q

Remember: numbers FIRST, then letters.

Answer 14

-15pq

• 5 X 3 = -15
• 15 X p X q = -15pq

Question 15

7a X 3a = ?

Answer 15

21a²

7 x 3 = 21
a x a = a²
= 21a²

Question 16

(-6a) x (-8ab) = ?

Answer 16

48a²b

-6 x -8 = 48
a x a = a²
x b = 48a²b

Question 17

2ab x (-3a) x 5bc = ?

Answer 17

30a²b²c

2 x -3 x 5 = -30
a x a = a²
b x b = b²
x c = -30a²b²c

Question 18

What is NEGATIVE ÷ POSITIVE?

Answer 18

Negative. Always negative.

Question 19

What is NEGATIVE ÷ NEGATIVE?

Answer 19

Positive. Always positive.

Question 20

What is NEGATIVE × NEGATIVE?

Answer 20

Positive. Always positive.