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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:
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a. 5p + 4p
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b. 9y − 6y
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c. 6b + 4b
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d. 3x2 + 6x2
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e. 2q2 + q2
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f. 12xy2 − 10xy2
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4. Simplify the following (write without multiplication signs):
| a |
4 × y |
b
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q × 3 |
| c |
c × b × a × d |
d
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2 × 4 × a × b |
| e |
3 × p × q × 4 |
f
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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
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