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WorksheetsA2-CHAPTER 3 TEST 2024-2025
Total questions: 172
Worksheet time: 9hrs 57mins
5b2 - 4 = 41
Solve the equation using square root method.
−9x2=81
x = 3 or x = -3
no solutions
x = 6 or x = -6
x = 3
Which of the following is a solution for the equation 36n2−13=12 ?
65
56
61
5
5m2 + 1 = 6
5b2 - 4 = 41
Solve By Square Roots:
49x2+3=7
±72
±27
±71
±494
Solve the equation using square root method. −9x2=81
x = 3 or x = -3
no real number solutions
x = 6 or x = -6
x = 3
Solve the equation using square root method.
n2−10=−10
x = 0
no solutions
x = 4 or x = -4
x = 4
Solve the equation using square root method.
16x2+3=12
x = 169 or x =−169
no solutions
x=3 or x=−3
x=43 or x =−43
x2 - 4 = 77
9
-9
No Real Solutions
±9
Solve:
x2+5=−9
i 14
±4i 3
±i 14
±4
x2+7=−13
±i 6
±2i 5
±2i 6
2i 5
−8x2=320
±i 11
±2i 10
±i 29
±i 11
x2−1=−5
±2i 3
±2i
±6
±i 6
4x2−10=246
±8
±25
59
±64
7x2−10=67
±11
11
±11
±4i 3
2x2−1=85
±4
±9
±89
±43
2−2x2=0
±i
±3
±1
±9
5−2x2=−69
±37
37
±37
±42
3x2+10=−35
±15
±315
±15
±i 15
Determine how many solutions:
One Solution
Two Solutions
No Solutions
Infinitely Many Solutions
True or false: The solution, x-intercept, and zero of a problem are all the same thing.
The following quadratic has how many zeros?
0
1
2
3
The following quadratic has how many zeros?
0
1
2
3
What are the x-intercepts (zeros)?
(-2,0) and (2,0)
(0,2) and (0,-2)
(0,-4)
(-2,-4) and (2,-4)
Solve for X:
(x - 5)(x + 6) = 0
{5, 5 }
{ -5, -5 }
{ -5, -6 }
{5, -6 }
Which equation matches these solutions? x = 5, -7
(x + 5)(x - 7) = 0
(x - 5)(x + 7) = 0
(x + 5)(x + 7) = 0
(x - 5)(x - 7) = 0
How would you write the following roots as factors:
x = 4 and x = -2
(x + 4)(x - 2)
(x - 4)(x - 2)
(x + 4)(x + 2)
(x - 4)(x + 2)
Multiply the following factors:
(x + 2)(x + 3)
x2 + 2x + 3
x2 + 5x + 3
x2 + 3x + 6
x2 + 5x + 6
(x + 2)(x - 3) = 0
(2x - 1)(x + 4) = 0
0=x(x - 6)
z(z - 15)=0
What are the zeros of (2x+5)(x-6)=?
-6, 5/2
-5/2, 6
6, 2
5, -6
Solve for X:
(x-5)(x+6)=0
{5,5 }
{ -5,-5 }
{ -5,-6 }
{5,-6 }
Solve for x: x(x-3)(x-4) = 0
{0,3,4 }
{3,4 }
{ 0,-3,-4 }
{ }
(4x+8)(8x-16)=0
{2}
{-2}
{-2,2}
{0,-2,2}
Solve for x: (x - 7)(x + 2)
-7, 2
7, -2
7, 2
-7, -2
Solve for x: (2x - 6)(x + 1)
-6, 1
3, -1
-3, 1
-3, -1
x2+4x-32=0
x= -8, 4
x= 8, -4
x= -8, -4
x2-14x-51=0
x= 17, -3
x= -17, 3
x= -17, -3
x2=18x-81
x= -9, -9
x= 9, 9
x= -9, 9
4x2+7x-17=3x2+12x-3
x= -7, -2
x= 7, -2
x= -7, 2
3x2+9x-30=0
x= 2, -5
x= 5, -2
x= -5, -2
5x2-25x=5x-40
x= -4, -2
x= -4, 2
x= 4, 2
6x2-x-2=0
x= -2/3, 1/2
x= 2/3, -1/2
x= -2/3, -1/2
x2-7x=0
x= 0, -7
x= 0, 7
3x2-48=0
x= 4, 4
x= -4, -4
x= -4, 4
Solve by factoring: x2 - 9x + 20 = 0
x = -4 and x = -5
x = 20 and x = -9
x = 4 and x = 5
x = -4 and x = 5
Solve by factoring: x2 + 3x - 18 = 0
x = -3 and x = 6
x = 3 and x = -6
x = -9 and x = 2
x = 9 and x = -2
x2 -8x +12=0
3p2−17p=30−8p
{3,5,−2}
{2,−5}
{−2,5}
{−6,15}
Factor and solve:
z2 − 14z + 45 = 0
z = 1, 45
z = −1, 45
z = −5, 9
z = 5, 9
Select the solution(s) for the quadratic: x2−11x+19=−5
3
8
-9
-3
x2 + 6x + ____
x2 + 12x + ____
x2 + 14x + ____
x2 + 10x + ____
x2 + 22x + ____
x2 +8x + c
x2 + 2x + c
x2 - 12x + c
Answer the question.
Complete the square x2+10x+?
(What number should replace the question mark)
-100
100
-25
25
Complete the square
x2−4x+?
(What number should replace the question mark?
4
-4
16
-16
Find the last term:
x2+22x+c22
11
121
44
Find the last term:
x2−8x+c8
4
-16
16
Find the last term:
x2−16x+c8
64
-16
16
Find the last term:
x2+34x+c289
17
34
-34
Find the last term:
x2+30x+c30
15
225
-15
Find the last term:
x2+4x+c4
2
-2
-4
Find the last term:
x2−6x+c-9
9
6
-6
Find the last term:
x2+42x+c-9
21
441
1764
Find the last term:
x2−28x+c14
200
169
196
x2 + 6x = 5
y2 + 10y = -9
2x2 + 12x = -10
x2 - 16x = -28
k2 − 12k + 23 = 0
±
y2 + 10y = -9
5x2 - 35x + 60 = 0
4x2+2x - 6 = 0
Solve by completing the square.
x2−4x−20=0
x={±62−2}
x={±62+2}
x={±26+2}
x={±26−2}
Solve by completing the square.
x2−8x−20=0
x={−2, 10}
x={−10, 2}
x={−20, −8}
x={8, 20}
x2−11=6x
Solve & leave in simplest radical form
3±20
6±11
3±25
6±32
Solve by Completing the Square
2x2 + 12x = −6
−3±6
−6±3
3 ±12
−3±3
Solve by completing the square.
x2−6x−59=0
x={±217+3}
x={±172+3}
x={±217−3}
x={±172−3}
Solve. x2 + 4x - 16 = 0
Solve by completing the square.
x2−4x−21=0
x={−7, 3}
x={3, 7}
x={−3, 7}
x={−7, −3}
Solve by completing the square.
x2−8x−14=0
x={±30+4}
x={±4+30}
x={30+4}
x={30−4}
Solve by completing the square.
x2−16x+48=0
x={−12, 4}
x={−12, −4}
x={−4, 12}
x={4, 12}
Solve the following quadratics equation by completing the square...
x2 - 10x - 5 = 0
x = -5 ± √30
x = 5 ± √30
x = 30 ± √5
x = -30 ± √5
Solve the following quadratics equation by completing the square...
x2 + 6x - 3 = 0
−3±23
3±23
12±3
−12±3
x2 +12x = 5
Solve for x.
x=2, −23
x=−2, 23
x=41±50
x=4−1±50
Solve for x.
x=52, 54
x=−52, −54
x=10−6±76
x=106±76
Solve for x.
x=2−5±93
x=25±93
x=25±61
x=2−5±61
Solve for x.
x=411±57
x=4−11±57
x=4−11±89
x=411±89
Solve the following quadratic for x.
2x2+11=19
x=4, −4
x=2, −2
x=±15
x=±28
Solve the following quadratic for x.
(x+4)2−27=73
x=−6, 14
x=6, −14
x=−4±46
x=4±46
Solve the following quadratic for x.
3(x−2)2+8=11
x=3, 1
x=−3, −1
x=−2±319
x=2±319
For the function below, is the discriminant positive, negative, or zero?
___________
y = x² + 4x + 4
Positive
Negative
Zero
Not Sure
What is the discriminant of -2x2 − x − 1 = 0
76
-7
9
none of these
If the discriminant is positive, then the solution will be
one real solution
two real solutions
no real solutions
one imaginary solution
______________
How many solutions does it have?
y = x2 +5x +7, match each leading coefficient with its correct letter
______________
How many x-intercepts does it have?
For the function above, is the discriminant positive, negative, or zero?
For the function above, is the discriminant positive, negative, or zero?
(x+10)(x-2) = 0
How many solutions will this quadratic equation x2+8x+16 has?
2 real solutions
2 imaginary solution
1 solution
3 solutions
Given the equation 10x2 -6x=0, what is the value of C?
0
-6
10
x
Write this equation x2 -6 = x in standard form.
x2 +6x=0
x2 -6x=0
x2 -x -6 =0
x2 +x -6
Given that the value of A=-5 , B=1 and C=-5, solve for the discriminant.
-99
99
101
-100
Solve for the discriminant of the given equation -2x2 -6x=0
-36
36
0
44
If the discriminant is equal to 0, how many solutions are there?
No solutions
1 Solution
2 Solutions
Infinite solutions
If the discriminant is equal to 4, how many solutions are there?
No Solutions
1 Solution
2 Solutions
Infinite Solutions
If the discriminant is equal to -2, how many solutions are there?
No Solutions
1 Solution
2 Solutions
Infinite Solutions
What is the discriminant and how many solutions would this quadratic have?
-4x2 - 8x - 8 = -4
0, No Solutions
0, 1 Solution
128, 2 Solutions
128, 1 Solution
What does the discriminant tell us about a quadratic function?
The maximum or minimum value
The y-intercept
The number and type of solutions
The axis of symmetry
If the discriminant is positive, then the nature of solution will be
one real solution
two real solutions
two imaginary solutions
all real numbers
Determine the value of the discriminant
x2 + 7x + 13=0
101
3
-101
-3
For the function below, what is the discriminant?
x² + 8x + 16 = 0
4
-4
0
2
Describe the number and type solutions for the following:
x² + 8x + 16 = 0
if the discriminant is equal to 0
2 real solution
2 imaginary solution
1 real solution
What is the discriminant of 6x2 − 2x − 3 = 0
76
29
-68
0
Describe the number and type solutions for the following:
6x2 − 2x − 3 = 0
if the discriminant is equal to 76
2 real solution
2 imaginary solution
1 real solution
What is the discriminant of -2x2 - x - 1 = 0
8
-7
9
0
Solve the equation by factoring.
{−3, −4}
{−6, −1}
{8, 1}
{−1, −2}
Solve the equation by factoring.
{2, −1}
{−5, 5}
{−4, 1}
{−8, 6}
Solve the equation by factoring.
{3, −5}
{−3, 2}
{−5, −3}
{3, −4}
Solve the equation by factoring.
{2, 6}
{2, 0}
{−2, 0}
{−5, 1}
Solve the equation by factoring.
{8, 2}
{−8, 2}
{−5, −1}
{8, −2}
Solve the equation by factoring.
{−3, 8}
{3, 0}
{−3, 2}
{8, 3}
Solve the equation by factoring.
{4, −6}
{1, −2}
{−7, 5}
{7, 3}
Solve the equation by factoring.
{−3, 2}
{−3, −2}
{3, −6}
{3, 2}
Solve the equation by factoring.
{1, −3}
{−3, −5}
{5}
{−4, 7}
Solve the equation by factoring.
{−1, 5}
{3, −7}
{−4, 7}
{6, 7}
x2 + 9x + 20 = 0
x2 + 7x + 12 = 0
x2 + 13x + 12 = 0
k2 - 2k - 24
x2 + 13x + 12 = 0
x2 -17x - 60
Solve: p2−2p−35=0 (select all answers that apply!)
p = –5
p = 7
p = 5
p = –7
Solve: p2−4p−32=0 (select all answers that apply!)
p = 8
p = –4
p = –8
p = 4
Solve: b2+2b−15=0 (select all answers that apply!)
b = 3
b = –5
b = –3
b = 5
Solve
x2+7x+12=0x={3, 4}
x={−3, −4}
x={1,6}
x={−1,−6}
Factor and Solve
x2−2x−35=0x= +7, −8
x=+7, −5
x=−5, +7
x=8
Solve the equation by factoring:
x2 - 6x = -8
x=2 and x=4
x= -2 and x= -4
x= -2 and x=4
x=2 and x= -4
Solve: 20x=5x2+20
x=0 and x=2
x=−2
x=2
x=2 and x=−2
