1.Write the following sentences as algebra terms or expressions and simplify where possible:
| a. | 5 multiplied by 2x | e. | 2x multiplied by 3y |
| b. | 4 is added to (z + 2) | f. | 3 is subtracted from b and the result is multiplied by 2 |
| c. | 3 times x is added to 4 times x | g. | 5 multiplied by 3c less 4 multiplied by 2c |
| d. | 6x is divided by 3 | h. | 8x is added to 4x and the result is divided by 2 |
2. Simplify, by adding or subtracting like terms:
| a. | 6q − 2q − 3q | h. | 7h − 5k + 4h + 2k + k |
| b. | 15ab + 13ab -12ab | i. | 2x + 3 + 4x − 2(x + 1) |
| c. | 8q2 + 3q2 − q2 | j. | 12a + 13 − 7a + 12 |
| d. | 3xy + 2x − xy + 4x | k. | 8pq − 4qr + 8qp − 5rq |
| e. | 13x4 − 6x2 + 4x4 − 2x2 | l. | 16ab + 4b − 3b − 12ab |
| f. | 6xy2 − 8x2y − xy2 + 3x2y | m. | 6m2 − 2m + 4m2 |
| g. | 5x − 4xy + 8y +xy − 4x + 2y | n. | x2 + 2x − 6 + 3x2 − 4x + 9 |
3. Simplify the following:
| a. | 3a × 6b | f. | 4y × 2w × 5z |
| b. | 8p × -2q | g. | 2a × -3b × 4c |
| c. | 5a × 6b × 2c | h. | 8g × -2h × -2i |
| d. | 8s × -2t | i. | -2p × -3qr |
| e. | -3e × -2f | j. | 6cd × -2ab |
