## Simplifying Expressions Exercise

1. A bit of revision first!

Write the following sentences as algebra terms or expressions.

 a. 7 multiplied by p b. b multiplied by a c. 19 is added to m d. 4 is subtracted from f e. 4 times y is added to 5 f. 4 less than 4 multiplied by d g. y is divided by 4 h. 6 is added to p and the result is divided by 3 i. The number of days in x non-leap years j. The number of grams in y kilograms.

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

(a) {y, 2x, 3y, -2y, x, 5x}

(b) {3p , -3q, -6p, 7q}

(c) {m, 4m2, 4m, m2}

3. Simplify, by adding or subtracting like terms:

 a. 5p + 4p b. 9y − 6y c. 6b + 4b d. 3x2 + 6x2 e. 2q2 + q2 f. 12xy2 − 10xy2

4. Simplify the following (write without multiplication signs):

 a 4 × y b q × 3 c c × b × a × d d 2 × 4 × a × b e 3 × p × q × 4 f 5 × s × 4 × t

5. Simplify:

(a) 5x − 4x + 2x

(b) 8h − 6k + 3h

(c) 8x + 3 + 5x

(d) 12a + 4 − 6a + 5

(e) 8pq − 4qr + 7pq − 3qr

(f) 9ab + 5b − 2b − 3ab

6. Simplify:

(a) 6p2 − 2p + 4p2

(b) x2 + 2x − 6 + 3x − 4

(c) 8+ 3x + 2x2 + 3x + 5

7. Simplify the following:

a. 8p × 3q

b. 4a × 2b × 3c

c. 4y × 5w × 2z