## Simplifying Expressions Exercise

1. Simplify:

 (a) 4y − 2y (d) 13x 4 − 6x4 + 4x4 (b) 3x + 2x − x (e) 5ab + 3ab − 2ab (c) q2 + 3q 2 − 2q 2 (f) 6xy 2 − 8xy2 − xy 2

2. For each of the following sets, list the two sets of like terms:

(a) {a, 3, 2a, 4, -4a}

(b) {3a, , -3b, -6a, 7b}

(c) {p 2q, 2qp 2, 4q 2p, 3qp2}

3. Simplify:

(a) 6x − 4x + 3y + y

(b) 5h − 4k + 3h + k

(c) 6m 2 − 2m + 4m 2

(d) 11a + 3 − 6a + 4

(e) 5pq − 6qr + 5qp − 3rq

(f) 2ab + 3b − 2b − ab

4. (a) Find the sum of a 2 + 3a + 2 and 2a 2 + 4a + 3

(b) Find the difference between 6x 2 + 4x − 2 and 3x 2 + 4x + 1

5. Simplify:

(a) (2x + 3) + (4x − 7)

(b) (x 2 + 2x − 6) + (3x − 4)

(c) (x 2 + 4x) − (2x 2 + 3x)

6. Simplify

 (a) 3x . 4x (e) 66pq ÷ 44q (b) 4ab . 6ab 2 (f) 3a × 5b ÷ 10b (c) (- 2q) x (4q) (g) (d) (h)

7. Change the following written statements into mathematical symbols and then simplify, if possible:

(a) Add 6x to 5x + 3

(b) Decrease 7x 2 + 3x by 4x 2 + x

(c) Find the product of 6x and 5x

(d) Divide 28x 2 by 4x

8. Simplify:

(a) 2x 3 . 3x 2 + 4x 5

(b) 5x − 3x . 4x

(c) 7y + 4x . 3y

(d) 4a 2b . 3ab + 6a 2b 3