Pre-Calc Test #1
Name:
Section 1 (Covers Quizzes 1, 2, and 3)
Given: P(-8, -6)
Q(-3,9)
R(6,5)
Place points P, Q, and R on the grid and draw line segments
̅̅̅̅
̅̅̅̅.
𝑃𝑄 , ̅̅̅̅
𝑄𝑅 , 𝑎𝑛𝑑 𝑅𝑃
1. What is the distance from P to Q? (Exact value, no decimals)
2. What is the distance from Q to R? (Exact value, no decimals)
3. What is the perimeter of triangle PQR? (Use your calculator and
round to the tenths place.)
4. What is the slope of line ⃡𝑃𝑄 ?
5. What is the slope of line ⃡𝑄𝑅 ?
6. Are ⃡𝑃𝑄 and ⃡𝑄𝑅 perpendicular?
Yes or No
7. What must be true for ⃡𝑃𝑄 and ⃡𝑄𝑅 to be perpendicular. (Just by looking with your eyeball isn’t enough. Your answer must
have something to do with slope.)
⃡ ?
8. Write an equation describing 𝑃𝑅
⃡ ?
10. Is (2,2) a point on 𝑃𝑅
9. Write a different equation
⃡ ?
describing 𝑃𝑅
(Yes or No)
⃡ ?
11. Is (20,16) a point on 𝑃𝑅
(Yes or No)
⃡ ?
12. Explain how you can tell if a point is on 𝑃𝑅
Given:



S(-8,9)
T(6,9)
U(6,-6)
Plot points S, T and U on your grid above.
Connect P, S, T and U to make a box.
Shade in triangle PUR.
13. What is the area of triangle PUR?
Area Formulas, in case you have forgotten:
Atriangle = ½ bh
14. Shade triangle RTQ. What is the
area of triangle RTQ?
16. What is the area of the entire box PSTU?
Abox = bh
15. Shade triangle QSP. What is the
area of triangle QSP?
17. What is the area of triangle PQR?
Given:
K(-2,-7) L(10,5) M(2,9)
Place these points on the grid.
⃡
Draw line 𝐾𝐿
18. Write the equation
describing ⃡𝐾𝐿 using point K
as the reference point.
19. Write the equation
describing ⃡𝐾𝐿 using point L
as the reference point.
20. Show the steps to turn
equation #18 into slope-int
form.
21. Show the steps to turn
equation #19 into slope-int
form.
⃡ . What is the equation describing this line?
22. Draw a line through point M that is perpendicular to line 𝐾𝐿
̅̅̅̅
23. What is the midpoint of segment 𝐾𝐿
?
Place a dot at the
midpoint and label it J.
Given:
24. Draw a line through the point J at a right
̅̅̅̅. What is the equation
angle to segment 𝐾𝐿
that describes this line?
D(-8,-3) E(4,7)
F(-2,-7)
Place these points on the grid.
Draw line ⃡𝐷𝐸
25. Write the equation describing ⃡𝐷𝐸 in point-slope form.
26. Turn the answer to #25 into slope-intercept form. Show all
steps.
27. Turn the answer to #26 into standard form. Show all steps.
28. Draw a line that passes through point F and makes a right angle with line ⃡𝐷𝐸 .
29. Write the equation that describes the line you drew in problem #28.
Section 2
1. When you are asked to find the x-intercept what do you have to set to zero? __________________
2. When you are asked to find the y-intercept what do you have to set to zero? __________________
3. Find the x-intercept and the y-intercept for the following problems:
𝑦 = 3𝑥 − 6
Find x-int
Find y-int
𝑦 2 = 16 − 2𝑥
Find x-int
Find y-int
Find x-int
𝑦 = √5𝑥 + 9
Find y-int
4. Enter this equation into your calculator: 𝑦 = (𝑥 − 3)(𝑥 + 5)(𝑥 − 8.5)(𝑥 + 7.5)
What is the y-intercept?
What are the four x-intercepts?
5. On the graph draw a shape that represents y-axis
symmetry to the original.
6. On the graph draw a shape that represents x-axis
symmetry to the original.
7. On the graph draw a shape that represents origin
symmetry to the original.
8. On the graph draw a shape that represents y=x
symmetry to the original.
9. Circle as many types of symmetry that occur in this
drawing:


 y-axis symmetry
x-axis symmetry
origin symmetry
 y=x symmetry
 None of these
11. Circle as many types of symmetry that occur in this
drawing:


10. Circle as many types of symmetry that occur in this
drawing:


 y-axis symmetry
x-axis symmetry
origin symmetry
 y=x symmetry
 None of these
12. Circle as many types of symmetry that occur in this
drawing:
 y-axis symmetry
x-axis symmetry
origin symmetry
 y=x symmetry
 None of these
Section 3
Write the code for a program that asks for two points and then
produces the midpoint of those two points. (The picture is
an example screenshot.)


 y-axis symmetry
x-axis symmetry
origin symmetry
 y=x symmetry
 None of these