Worksheets[YEAR 10 MATHEMATICS]: Solving Quadratics Medium
Total questions: 25
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
Solve: x2 + 8x + 12 = 0
a)
-6
b)
-2
c)
4
d)
12
2.
a)
±81
b)
±9
c)
±3
d)
No real solution
3.
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
4.
9k2 = 225
a)
4
b)
4, -4
c)
25, -25
d)
-5, 5
5.
Solve the quadratic equation by factoring
a² + 10a + 21 = 0
a² + 10a + 21 = 0
a)
± √21
b)
-3 , -7
c)
3 , 7
d)
28 , -7
6.
Solve
4m2 - 100 = 0
4m2 - 100 = 0
a)
m=25, -25
b)
m=96
c)
m=5, -5
d)
m=-96
7.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
8.
Identify the 'c' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
24
d)
-24
9.
Solve for the values of x:
(x - 3)(x + 6) = 0
(x - 3)(x + 6) = 0
a)
{ -3, -6 }
b)
{ 3, -6 }
c)
{ -3, -6 }
d)
{ 3, 6 }
10.
Solve for the values of x:
(2x - 1)(x + 4) = 0
(2x - 1)(x + 4) = 0
a)
{ 1/2, -4 }
b)
{ 1/2, 4 }
c)
{ 2, -4 }
d)
{ -2, 4 }
11.
Factor x2-16
a)
(x+4)2
b)
(x-4)2
c)
(x-16)(x+16)
d)
(x-4)(x+4)
12.
Factor Completely:
x2 - 36
a)
(x + 9)(x - 4)
b)
(x - 6)(x - 6)
c)
(x - 9)(x + 4)
d)
(x + 6)(x - 6)
13.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
14.
Solve by taking square roots.
p2 = 64
p2 = 64
a)
(8, -8)
b)
8
c)
1
d)
(1, -1)
15.
Solve by taking square roots.
n2 + 10 = 26
n2 + 10 = 26
a)
(6, -6)
b)
(4, -4)
c)
(16, -16)
d)
(36, -36)
16.
Solve by taking square roots.
10m2 + 7 = 747
10m2 + 7 = 747
a)
(1, -1)
b)
(8.6, -8.6)
c)
1.1
d)
(5.7, -5.7)
17.
Solve by using the quadratic formula.
7x2 = 6x + 24
7x2 = 6x + 24
a)
(5.6, -5)
b)
(2.3, -1.5)
c)
(5, -5.6)
d)
No Solution
18.
Find the value of x.
a)
(-2, -3)
b)
(2, 3)
c)
(8/3, -7)
d)
(-5, -4/3)
19.
Solve by factoring.
a)
(4, -7)
b)
(3, -8)
c)
(-2, 0)
d)
(2, -3)
20.
Solve by using the quadratic formula.
5x2 + 4x + 8 = 0
5x2 + 4x + 8 = 0
a)
(1, -0.3)
b)
(0.3, -3.3)
c)
(0.8, -0.1)
d)
No Solution
21.
Solve by using the quadratic formula.
3v2 +2v -11 = -6
3v2 +2v -11 = -6
a)
(0.7, -1.4)
b)
(0.4, -1.1)
c)
(1.4, -3.4)
d)
(1, -1.7)
22.
Tina bought a frame for a photo, but the photo is too big for the frame. Tina needs to reduce the width and length of the photo by the same amount. The area of the photo should reduce to half the original area. If the original photo is 12" X 16", what will be the dimensions of the smaller photo?
a)
4 X 8
b)
8 X 12
c)
24 X 28
d)
12 X 16
23.
Lauren dove into a swimming pool from a 15 foot-high diving board with an initial upward velocity of 8 feet per second. Find the time in seconds it took Lauren to enter the water. Let h = 0 represent the surface of the water.
h = -16t2 +vt + hs
h = -16t2 +vt + hs
a)
1.3 seconds
b)
1.5 seconds
c)
0.7 seconds
d)
1 second
24.
Solve for the values of x:
(2x + 5)(5x - 2) = 0
(2x + 5)(5x - 2) = 0
a)
{ -5/2, -2/5 }
b)
{ -5/2, 2/5 }
c)
{ 5/2, 2/5 }
d)
{ 5/2, -2/5 }
25.
Solve
a2 + 2a - 24 = 0
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
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