1.Write the following sentences as algebra terms or expressions.
| a. 5 multiplied by x | b. x multiplied by y |
| c. 4 is added to z | d. 3 is subtracted from b |
| e. 3 times x is added to 4 | f. 5 less than 4 multiplied by c |
| g. x is divided by 3 | h. 3 is added to x and the result is divided by 2 |
i. The number of hours in y days  |
j. The number of cents in x dollars |
2. For each of the following sets, list the two sets of like terms:
(a) {x, 3, 2x, 4, -4x}
(b) {3a, 
, -3b, -6a, 7b}
(c) {n, 3n2, 4n, 2n2}
3. Simplify, by adding or subtracting like terms:
|
a. 4q − 2q |
b. 3x + 2x − x |
|
c. 5ab + 3ab − 2ab |
d. 13x4 − 6x4 + 4x4 |
|
e. q2 + 3q2 − 2q2 |
f. 6xy2 − 8xy2 − xy2 |
4. Simplify:
(a) 5x − 4x + 8y + y
(b) 7h − 5k + 4h + 2k
(c) 2x + 3 + 4x − 7
(d) 10a + 3 − 5a + 12
(e) 4pq − 3qr + 6qp − 5rq
(f) 6ab + 4b − 3b − 2ab
5. Simplify:
(a) 6m 2 − 2m + 4m2
(b) x 2 + 2x − 6 + 3x − 4
(c) x 2 + 4x + 2x 2 + 3x
6. Simplify the following:
a. 3p x 6q
b. 2a x 3b x 4c
c. 3y × 10w x 5z
