# Worksheet: Solving Equations Graphically

Q1:

The diagram shows the graph of . What is the solution set of the equation ?

• A
• B
• C
• D
• E

Q2:

The graph shows the curve with equation . What is the solution set of the equation ?

• A
• B
• C
• D

Q3:

The diagram shows the graph of . What is the solution set of the equation ?

• A
• B
• C
• D
• E

Q4:

The diagram shows the graph of . What is the solution set of the equation ?

• A
• B
• C
• D
• E

Q5:

Consider the equation .

Find the solutions when .

• A,
• B,
• C,
• D,
• E,

Find the -solutions when .

• A,
• B,
• C,
• D,
• E,

Find the -solutions when .

• A,
• B,
• C,
• D,
• E,

The solutions found can be plotted in plane as seen in the given figure. What will be true of the plot of any other solution?

• AThey will lie on the -axis.
• BThey will not lie on the curve.
• CThey will lie on the curve.
• DThey will not lie in the same quadrant.
• EThey will lie in the same quadrant.

Q6:

Work out the solutions of for the given values of .

.

• A,
• B,
• C,
• D,
• E,

.

• A,
• B,
• C,
• D,
• E,

.

• A,
• B,
• C,
• D,
• E,

.

• A
• B
• C
• D
• E

The solutions found can be plotted in plane as seen in the given figure. What will be true of the plot of any other solution?

• AThey will lie on the -axis.
• BThey will not lie on the curve.
• CThey will lie on the curve.
• DThey will not lie in the same quadrant.
• EThey will lie in the same quadrant.

Q7:

Answer the questions for the lines and .

Substitute into the equation and state the corresponding value of .

• A
• B
• C
• D
• E

Substitute into the equation and state the corresponding value of .

• A
• B
• C
• D
• E

The given graph shows the lines and . What do you notice about the point ?

• AIt is a point that makes the two lines lie to the left of the -axis.
• BIt is a point that makes the two lines not intersect with the -axis.
• CIt is the intersection point of the two lines.
• DIt is the point that makes the two lines above the -axis.
• EIt is the center point of the two lines.

Therefore, determine the point whose coordinates are solutions to the system of equations and .

• A
• B
• C
• D
• E

Q8:

The given figure shows the graphs of the functions and . What are the points where ?

• A,
• B,
• C,
• D,
• E,

Q9:

The given graph shows the lines and . Determine the point whose coordinates satisfy both equations simultaneously.

• A
• B(7, 2)
• C(1, 3)
• D(2, 7)
• E(3, 1)

Q10:

Use the shown graph to solve the given simultaneous equations.

• A and
• B and
• C and
• D and
• E and

Q11:

The given figure shows the graphs of the functions and . What are the points where