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
