Download Activity 1 - LEARN MATHS by Mr. Dalaba M.Sc B Ed

Algebraic expressions
Phrases made up of constants and variables along with mathematical operations are called
……………………………………………………..
Examples
Activity
Write the following as algebraic expressions
1. Twice a number
2. The sum of two different numbers
3. The difference of two different numbers
4. The sum of a number and 10
5. The quotient of a number and 3
6. The product of a number and 7.
Try exercise 1
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D. Dalaba MSc. B.Ed.
Page 1
Substitution
Evaluation of algebraic expressions (substitution)
1. Given that x = 5.
Work out the values of
ii. 5x – 3
i. 3x + 10
iii. 18 - 2x
2. Given that a = 2, b = 3 and c = 7, evaluate the following algebraic expressions
(a) a  b
(b) 2a + 5b – 3c
(c) 2ac
(d)
3. Work out the value of the expression
bc
2
for n = 3
Try exercise 2
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D. Dalaba MSc. B.Ed.
Page 2
Addition and subtraction of algebraic expressions
An expression such as
Like and unlike terms
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D. Dalaba MSc. B.Ed.
Page 3
Simplifying like terms
Expressions with more than one term can be simplified if they contain ……………………….
Simplify
(a) 5x + 8x
(b)15v - 6v
(d) x2 + x + 3x2 + 2
(c) 5a + 7b + 2a - 3b
(e) 2p + 8z
Multiplication and division of monomials
Simplify
(a) 5b × 3
(c) (3x2) (7x3)
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(b) 2 x  5 x
(d) 4y × 3x × 5m
D. Dalaba MSc. B.Ed.
Page 4
(e)
9ax
6a
(g) 3xy ÷ 12xyz
(f)
10acy
5ab
12a 2b
(h)
8ac
Try exercise 3
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D. Dalaba MSc. B.Ed.
Page 5
Expanding simple algebra expressions
a. Expand and simplify the following
1. 4(x + 5)
2. 5(3x + 7)
3. x(x - 6)
4. p (5p - 7)
5. 8x(x+ 2)
6. 5x (4y + 3)
7. x (2x2 - 5x + 7)
8. -2(2x – 5b + 7)
9. -5x (11 y – 2 – 4t)
10. (3t - 5)t
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D. Dalaba MSc. B.Ed.
Page 6
b.
a. 3x + 5(x + 2)
b. 5x - 7(x + 2)
c. 11x - 5(x - 1)
d. 2(x + 10) - 9
Try exercise 4
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D. Dalaba MSc. B.Ed.
Page 7