5. B R A I C A L G E
S I O N E X P R E S
A L G E B R A I C
E X P R E S S I O N
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6. Objectives
At the end of the period, at least 80% of
the students with 75% proficiency should be able
to
1. Evaluate algebraic expressions of the
value(s) of the variable(s) involved.
2. Apply the PEMDAS principle in performing a
combination of operations.
3. show cooperation in class discussion.
7. Illustrative Examples:
1. Evaluate: x + 5 when x = 4
Solution:
Substitute the given values for each variable 4 + 5
Simplify the result 9
2. Evaluate: 10 + y when y = - 15
Solution:
Substitute the given values for each variable 10 + (-15)
Simplify the result -5
3. Evaluate: 2x + 3 when x = -1
Solution:
Substitute the given values for each variable 2(-1) + 3
Follow the rule of “PEMDAS” or perform the operation -2 + 3
Simplify the result 1
8. 4. Evaluate: x + y – z when x = 3, y = -2, z = 4
Solution:
Substitute the given values for each variable 3 + (-2) – 4
Perform the operation 1 – 4
Simplify the result - 3
5. Evaluate: 3x – 2y + 5 when x = 2, y = 4
Solution:
Substitute the given values for each variable (3)(2) – 2(4) + 5
Follow the rule of “PEMDAS” 6 – 8 + 5
Simplify the result 3
6. Evaluate 3(b – 10) when b = 7
Solution:
Substitute the given values for each variable 3(7 – 10)
Follow the rule of “PEMDAS” 3(-3)
Simplify the result -9
9. 7. Evaluate 4(a – 3) + 3(a + 2) When a = 5
Solution:
Substitute the given values for each variable 4(5 – 3) + 3(5 + 2)
Follow the rule of “PEMDAS” 4(2) + 3(7)
8 + 21
Simplify the result 29
8. Evaluate: 5y + 2(y – 6) when y = 9
Solution:
Substitute the given values for each variable 5(9) + 2(9 – 6)
Follow the rule of PEMDAS 45 + 2(3)
45 + 6
Simplify the result. 51
10. EVALUATING ALGEBRAIC EXPRESSIONS
BASKETBALL GAME
Write, read, and evaluate expressions in
which letters stand for numbers. Write
expressions that record operations with
numbers and with letters standing for
numbers.
11.
12.
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14.
15.
16.
17. Group 1: Visual-Spatial Intelligence
(Picture Smart)
Using Algebra Tiles solve 3x+ 4
when x = -2
18. Group 2: Verbal Linguistic Intelligence
Follow directions to solve (7x +3y) (z² -x)
Steps to follow in evaluating
algebraic expression
1. Substitute the given value for each
variable.
2. Simplify first the expression within
the parenthesis.
3. Simplify the expressions w/ exponents.
4. Perform all indicated operations
and simply the result.
19. Group 3: Bodily Kinesthetic Intelligence (Body Smart )
Direction: Manipulate the given puzzle. Fill up the puzzle according
to the given diagram.
Analyze the 16( x-y ) + 12 ( a+z )
when a=1, x=-2, y=1 and Z=0
16( _ - _ ) + 12( _ + _ )
16( __ ) + 12( __ )
___ + ___
20. Group 4: Logical Mathematical Intelligence
(Math Smart)
Direction: Study the computation below.
Evaluate 2a[4(x)²] when a=1, x=-3, y=3
3y
2(1) · 4(-3)²
3(3)
2 · 4(9)
9
72
9
8
21. The expression 1.5t + 20, predicts the height in
centimeters of a plant t days from today.
What is the predicted height of the
plant 5 days from today?
What is urban agriculture?
22. What is urban agriculture?
Growing of plants and the raising
of animals within and around cities.
Integrated into the urban
economic and ecological system.
26. What is urban agriculture?
Urban agriculture can be defined shortly as the growing of plants
and the raising of animals within and around cities. The most striking
feature of urban agriculture, which distinguishes it from rural
agriculture, is that it is integrated into the urban economic and
ecological system: urban agriculture is embedded in -and interacting
with- the urban ecosystem. Such linkages include the use of urban
residents as labourers, use of typical urban resources (like organic
waste as compost and urban wastewater for irrigation), direct links
with urban consumers, direct impacts on urban ecology (positive and
negative), being part of the urban food system, competing for land
with other urban functions, being influenced by urban policies and
plans, etc. Urban agriculture is not a relict of the past that will fade
away (urban agriculture increases when the city grows) nor brought
to the city by rural immigrants that will lose their rural habits over
time. It is an integral part of the urban system.
