Algebra 2: Linear and Quadratic Equations
Name_________________________
Worksheet #1 – SHOW ALL WORK TO RECEIVE FULL CREDIT!
1
1. a) Identify the y-intercept of y  x  2
3
y
1
b) Identify the slope of y  x  2
3
1
c) Graph y  x  2
3
x
d) Name 2 methods to graph this function.
3. If y  4 then x  _____
4. Find where the line crosses the
x-axis algebraically.
5. Find x and y intercepts of the line
with equation 2x  3y  15
6. Using the grid above, graph the line
in problem 5
7. Change 2x  3y  15 into
slope-intercept form
8. Find where the two lines intersect
using substitution method.
9. Find the area of the triangle
bounded by the two lines and the
x-axis.
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10. Change y  x  2 into standard
3
form.
2. If x  1 then
y  _____
11. Find where the parabola
y  x 2  2x  3 intersects the
x-axis
12. Give the coordinates of the vertex
13. Using the grid below, sketch the
graph of the parabola in #11
14. If x  4 then
15. If y  3 then x  ____
16. Using the grid below, graph the
line y  x  3
y  ____
17. Use substitution method to find where the parabola and line intersect
You should be solving an equation and your answer should be in point form
and match your graph!!!!
18. For the parabola y   x 2  6 x 3
Algebraically find y y when
a) x  1
b) x  1
c) Use the substitution method to find
where the parabola in # 11 intersects
with the parabola y  x 2  5 x  11
y
x
20. Check your answers with the graphing calculator!