Math 2 Spring Final Pretest
Find the distance between the points:
1) A(2,6) and B(5,10) 2) C(-2,-5) and D(3,-1)
Find the midpoint between the points:
4) G(3,8) and H(7,2) 5) I(-3,4) and J(-7,-5)
Name:_______________________________ Per:___
3) E(5,0) and F(-4,-2)
6) K(0,-6) and L(9,3)
Write the statement in If-Then Form.
7) When I get a day off I am going to movies. 8) A shape with exactly 3 sides is a triangle
Give a counter example for the statement.
9) If an animal has spots, then it is a cheetah 10) If an animal has stripes, then it’s a tiger.
Solve each of the following for w,x,y,z & identify the property being used.
11) 12) 13)
( 𝟐𝒘 + 𝟒)° (𝟓𝒘 − 𝟖)°
( 𝒙 − 𝟒𝟎)° 𝟔𝟎°
𝟏𝟑𝟎°
Find the missing angle in each triangle
15) 14) 16)
(𝒚 − 𝟏𝟎)° 𝒛⁰
17)
Find the measure of the missing angles and then list sides from least to greatest
18)
Determine if the side lengths can make a triangle.
19)
22) 𝟏, 𝟑, 𝟗
20) 6, 8, 10
Simplify each radical
23) √𝟓𝟎 24) √−𝟒𝟗
21) 2, 7, √𝟓𝟏
25) √𝟑𝟎𝟎 26) √−𝟐𝟎

Determine the length of the missing side in each triangle
27) 28) 29) 30)
11) Given the figures are similar Find the scale factor. Find the missing side length.
31) 32)
Find the sum of the interior angle measures & Find the measure of each exterior angle
33) 5 sided shape 34) 10 sided shape 35) 30 sided shape
Find the values of x, & y. Diagrams may not be drawn to scale.
36) 37) 38) 39) 40)
Write a two column proof for each figure. (Justify each step and annotate the figure)
41) 42) 43)

44) Using each of the parabolas drawn below identify each of the key features listed.
(Opens up or down, Max/Min Point, Zeroes, y-intercept, Vertex, Axis of Symmetry)
Determine the vertex of a from Vertex form.
45) 46) 47) 48)
Determine both the Zeroes from Factored form.
49) 50) 51)
Graph each of the following using at least 3 points. Then Identify Vertex, zeroes, & yint.
52) 53) 54)
Simplify each of the following expressions using addition, subtraction, & multiplication.
55) (5𝑚 2 + 9𝑚) − (2𝑚 2 − 3𝑚) 56) (−2𝑥 2 + 5𝑥 + 10) + (4𝑥 2 + 7𝑥 − 3)
57) (𝑥 − 5)(𝑥 + 1) 58) (3𝑥)(2𝑥 2 + 5𝑥 − 1)
59) 𝑥 2
Completely factor each of the quadratic expressions using any methods.
+ 5𝑥 − 24 60) 9𝑥 2 − 25 61) 2𝑥 2 − 24𝑥 + 22
62) 2𝑥 2 + 11𝑥 + 5 63) 𝑥 2 + 73𝑥 + 210 64) −𝑥 2 − 12𝑥 − 32
Solve each of the following quadratics.
65) 𝒙 𝟐 + 𝟕𝒙 + 𝟏𝟎 = 𝟎 66) 𝒙 𝟐 + 𝟒𝒙 + 𝟗 = 𝟎 67) 𝒙 𝟐 − 𝟐𝟓 = 𝟎 68) 𝑥 2 + 5𝑥 + 2 = 0

Solve for the missing length.
69) 70) 71) 72)
Solve for the missing measure.
73) 74) 75) 76)
Find the Length of Arc & Area of the Sector (Leave in 𝝅 )
77) 78) 79) 80)
Find the missing side or angle measure for each of the trig. triangles.
81) 82) 83)
84) 85) 86)
ϴ

Rewrite as a simplified fraction.
87) . 𝟗 88) . 𝟗𝟑
Simplify the power of 𝒊 .
91)
Calculate the quotient.
96)
92)
97)
Graph the piecewise function
99) 100)
89) . 𝟏𝟐𝟑𝟒𝟓
93) 94)
98)
101)
90) . 𝟐𝟕
95)
102)
Write a piecewise function for the graph.
103)
Find the inverse algebraically.
104)
Use composite functions check if inverses.
107)
105) 106)
108)