# Worksheet: Solving Linear Equations Using Function Graphs

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

**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 -axis.
- 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.

**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 ?

- A
- B
- C
- D
- E

**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