# Worksheet: Solving Linear Equations Using Function Graphs

In this worksheet, we will practice solving linear equations using function graphs and verifying the answer algebraically.

Q1:

The graph in the diagram represents the function . Without performing any calculation, use the graph to solve . • A
• B
• C
• D
• E

Q2:

The graph in the diagram represents the function . Without performing any calculation, use the graph to solve . • A
• B
• C
• D
• E

Q3:

Consider the equation . In the following, find a solution by filling the blank space.

.

• A
• B
• C
• D
• E

.

• A
• B
• C
• D
• E

.

• A
• B
• C
• D
• E

These solutions can be plotted as seen in the figure. What will be true of any other solution plotted in the plane? • AThey will lie on the .
• BThey will lie on the line.
• CThey will not lie in the same quadrant.
• DThey will lie in the same quadrant.
• EThey will not lie on the line.

Q4:

Which points in the graph represent a solution to the equation ? • A and
• B and
• C, , and
• D
• E and

Q5:

Consider the equation . In the following, find a solution by filling the blank space.

.

• A
• B
• C
• D
• E

.

• A
• B
• C
• D
• E

.

• A
• B
• C
• D
• E

These solutions can be plotted as seen in the figure. What will be true of any other solution plotted in the plane? • AThey will lie in the same quadrant.
• BThey will lie on the -axis.
• CThey will lie on the line.
• DThey will not lie on the line.
• EThey will not lie in the same quadrant.

Q6:

Which points in the graph represent a solution to the equation ? • AB, D
• BA, C, E, F
• CG, I, K
• DG, H, I, K
• EJ

Q7:

Which points in the graph represent a solution to the equation ? • A
• B
• C
• D
• E

Q8:

Let’s consider the equation .

David says that to solve this equation graphically, one has to graph the function . Isabella says that she can solve it graphically without rearranging the equation in the form but by graphing the function . Who is correct? • ANeither of them are correct.
• BBoth of them are correct.
• COnly David
• DOnly Isabella

Without doing any calculation, solve the equation graphically.

• A
• B
• C
• D
• E

Q9:

Which points in the graph represent a solution to the equation ? • A
• B and
• C and
• D and
• E