FORM 3 UNIT 1
Lesson 1: Evaluating Algebraic Expressions
1 Quiz
Unit 1 Lesson 1: Exercise 1
Lesson 2: Evaluating more complex Algebraic Expressions
3 Quizzes
Unit 1 Lesson 2: Exercise 1
Unit 1 Lesson 2: Exercise 2
Unit 1 Lesson 2: Exercise 3
Lesson 3: Evaluating Algebraic Fractions
1 Quiz
Unit 1 Lesson 3: Exercise 1
Lesson 4: Addition and subtraction of algebraic terms
3 Quizzes
Unit 1 Lesson 4: Exercise 1
Unit 1 Lesson 4: Exercise 2
Unit 1 Lesson 4: Exercise 3
Lesson 5: Expanding Brackets
3 Quizzes
Unit 1 Lesson 5: Exercise 1
Unit 1 Lesson 5: Exercise 2
Unit 1 Lesson 5: Exercise 3
Lesson 6: Expanding and Simplifying
2 Quizzes
Unit 1 Lesson 6: Exercise 1
Unit 1 Lesson 6: Exercise 2
Lesson 7: Expanding Products of Algebraic Expressions (Binomial Expansion)
5 Quizzes
Unit 1 Lesson 7: Exercise 1
Unit 1 Lesson 7: Exercise 2
Unit 1 Lesson 7: Exercise 3
Unit 1 Lesson 7: Exercise 4
Unit 1 lesson 7: Exercise 5
Lesson 8: Division of algebraic terms
2 Quizzes
Unit 1 Lesson 8: Exercise 1
Unit 1 Lesson 8: Exercise 2
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Lesson 2: Evaluating more complex Algebraic Expressions
FORM 3 UNIT 1
Lesson 2: Evaluating more complex Algebraic Expressions
Objectives
At the end of this lesson, students should be able to:
Evaluate more complex algebraic expressions.
Example 1
Given that
p
=
4
,
q
=
-2
and
r
=
3
, find the values of the following expressions:
1
. 3(p + q) – 2(q + r)
2
. (2p + r)
^{2}
– q
^{2}
3
. (2p + 3q + 4r)
^{2}
Solution
1
. 3(p + q) – 2(q + r) = 3(
4
+ (
-2
)) – 2(-2 +
3
)
= 3(4 – 2) – 2(-2 +3)
= 3(2) – 2(1)
= 6 – 2
=
4
2
. (2p + r)
^{2}
– q
^{2}
= (2(
4
) +
3
)
^{2}
– (
-2
)
^{2}
= (8 + 3)
^{2}
– 4
= (11)
^{2}
– 4
= 121 – 4
=
117
3
. (2p + 3q + 4r)
^{2 }
= (2(
4
) + 3(
-2
) + 4(
3
))
^{2}
= (8 – 6 + 12)
^{2}
= (14)
^{2}
=
196
Example 2
If
a
=
2.4
,
b
=
1.9
,
c
=
1.1
and
d
=
0.6
, find correct to one decimal place, the values of the following expressions: (You may use a calculator)
d²
c² + d²
Solution
d² = d × d
=
0.6
×
0.6
= 0.36
≈
0.4
(≈ means Approximately)
c² + d² = (
1.1
)² + (
0.6
)²
= 1.21 + 0.36
= 1.57
≈
1.6
Lesson Content
Unit 1 Lesson 2: Exercise 1
Unit 1 Lesson 2: Exercise 2
Unit 1 Lesson 2: Exercise 3
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