 # WAEC REVISION – Algebraic Graphs, Relations and Functions ### Improve Competency with MyMathsHero

Special relations where every x-value (input) corresponds to exactly one y-value (output) are called functions. We can easily determine whether or not an equation represents a function by performing the vertical line test on its graph.

In this topic, we cover the following: Linear graphs, linear programming, quadratic graphs, sketch graphs and relations & functions. At the end of this topic, students should understand the following among other things:

• How to solve quadratic equations using factorization, completing the square, the quadratic formula, and graphical methods,
• Transform word problems into quadratic and linear equations that may be solved algebraically,
• Use algebraic and graphical methods to solve simultaneous linear and quadratic equations.
• Be able to use various expressions for the gradient of a straight line,
• Able to find the intercepts that a line makes with the x- and y- axes and use them to draw the line,
• Find the distance between two points and also find the coordinates of the midpoint of a straight line joining two points on the Cartesians plane,
• Calculate the angle between two lines on the Cartesian plane and be able to use the conditions for two lines to be ‘a ‘parallel, ‘b’ perpendicular.
• Show on a graph the region which contains the solutions of the simultaneous inequalities,
• Represent various inequalities on a separate number line and draw the graphs of various linear equations on separate axis
1
SS3-WAEC REVISION 5- LESSON 1A-LINEAR GRAPHS
27 Minutes
2
SS3-WAEC REVISION 5- LESSON 1B-LINEAR GRAPHS
22 Minutes
3
SS3-WAEC REVISION 5- LESSON 1A-QUADRATIC GRAPH
21 Minutes
4
SS3-WAEC REVISION 5- LESSON 1B-QUADRATIC GRAPH
17 Minutes
5
SS3-WAEC REVISION 5- LESSON 1A-GRADIENT OF CURVES
24 Minutes
6
SS3-WAEC REVISION 5- LESSON 1B-GRADIENT OF CURVES
20 Minutes
7
SS3-WAEC REVISION 5- LESSON 1A-GRADIENT OF STRAIGHT LINES
23 Minutes
8
SS3-WAEC REVISION 5- LESSON 1B-GRADIENT OF STRAIGHT LINES
19 Minutes

### REVISION LESSON-SOLVED EXAM QUESTIONS AND ANSWERS (OBJ)

1
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ-QUEST 1
1 Minute
2
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 2
1 Minute
3
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 3
3 Minutes
4
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 4
1 Minute
5
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 5
1 Minute
6
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 6
2 Minutes
7
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 7
1 Minute
8
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 8
1 Minute
9
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 9
2 Minutes
10
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 10
5 Minutes
11
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 11
1 Minute
12
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 12
1 Minute
13
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 13
1 Minute
14
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 14
1 Minute
15
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 15
1 Minute
16
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 16
1 Minute
17
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 17
1 Minute
18
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 18
1 Minute
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ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 19
1 Minute
20
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 20
1 Minute
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ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 21
1 Minute
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ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 22
1 Minute
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ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 23
1 Minute
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ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 24
1 Minute
25
ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 25
1 Minute
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ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 26
1 Minute
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ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 27
1 Minute
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ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 28
1 Minute
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ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 29
1 Minute
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ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-OBJ QUEST 30
1 Minute

### REVISION LESSON-SOLVED EXAM QUESTIONS (THEORY)

1
Topic 16- ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-(Theory Question 284)
17 Minutes
2
Topic 16- ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-(Theory Question 285)
12 Minutes
3
Topic 16- ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-(Theory Question 286)
15 Minutes
4
Topic 16- ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-(Theory Question 287)
11 Minutes
5
Topic 16- ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-(Theory Question 288)
7 Minutes
6
Topic 16- ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-(Theory Question 289)
17 Minutes
7
Topic 16- ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-(Theory Question 290)
12 Minutes
8
Topic 16- ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-(Theory Question 291)
10 Minutes
9
Topic 16- ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-(Theory Question 292)
11 Minutes
10
Topic 16- ALGEBRAIC GRAPHS, RELATIONS & FUNCTIONS-(Theory Question 293)
12 Minutes