wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

TEST SOLVING QUADRATIC EQUATIONS

Total questions: 11

Worksheet time: 3hrs 45mins

Name
Class
Date
1.

Solve by factoring 
x2+12x+35=0x^2+12x+35=0  

a)

x = - 5 or x = - 7

b)

x = 5 or x = 7

c)

x = - 35 or x = - 1

d)

x = - 9 or x = - 4

2.

Solve

x210x+25 =0x^2-10x+25\ =0  

a)

x= 0 ; x= 5

b)

x = 5

c)

x = 0

3.

Solve

x2+2x=15x^2+2x=15  

a)

x=5; x=3x=-5;\ x=3  

b)

x=5; x=3x=5;\ x=3  

c)

x=5; x=2x=-5;\ x=2  

d)

x=5; x=3x=-5;\ x=-3  

4.

Solve

x2+4x=0x^2+4x=0  

a)

x=4; x=0x=4;\ x=0  

b)

x=4; x=1x=-4;\ x=1  

c)

x=4; x=1x=4;\ x=-1  

d)

x=4; x=0x=-4;\ x=0  

5.

Solve

2x26x=82x^2-6x=8  

a)

x=1; x=4x=1;\ x=-4  

b)

x=1; x=4x=-1;\ x=4  

c)

x=2; x=2x=-2;\ x=2  

d)

x=1; x=2x=-1;\ x=2  

6.

Solve

7x2105=07x^2-105=0  

a)

 x=15\ x=\sqrt{15}  

b)

x=7; x=15x=-\sqrt{7};\ x=\sqrt{15}  

c)

x=15; x=15x=-\sqrt{15};\ x=\sqrt{15}  

d)

x=15; x=15x=15;\ x=-15  

7.

Solve

8x2288=08x^2-288=0  

a)

x=6; x=6x=6;\ x=-6  

b)

x=6; x=8x=6;\ x=-8  

c)

x=6; x=6x=\sqrt{6};\ x=-\sqrt{6}  

d)

x=8; x=8x=\sqrt{8};\ x=-\sqrt{8}  

8.

A smoke jumper jumps from a plane that is 1284 ft about the ground. The function

y=16t2+1284y=-16t^2+1284  gives the jumper's height y in feet at t seconds. How long is the jumper in free fall if the parachute opens at 500 ft?

a)

7 seconds

b)

5 seconds

c)

8 seconds

d)

7.5 seconds

9.

Solve

4x236=04x^2-36=0  

a)

x=4; x=4x=4;\ x=-4  

b)

x=6; x=6x=6;\ x=-6  

c)

x=3; x=3x=3;\ x=-3  

10.

Suppose you throw a ball straight up from the ground with a velocity of 80 ft/s. As the ball moves upward, gravity slows it. Eventually the ball begins to fall back to the ground. The height h of the ball after t seconds in the air is given by the quadratic function:

h(t)=16t2+80th\left(t\right)=-16t^2+80t  
a. How hight does the ball go?
b. For how many seconds is the ball in the air before it hits the ground?

a)

a. The ball goes 100 ft.  
b. The ball is 5 seconds in the air before it hits the ground.

b)

a. The ball goes 110 ft. 
 b. The ball is 8 seconds in the air before it hits the ground.

c)

a. The ball goes 105 ft.  
b. The ball is 5.5 seconds in the air before it hits the ground.

11.

What are the solutions for the equation 2x2 + 16x = 18

a)

x = -1 and x = 9

b)

x = -9 and x = 1

c)

x = 2 and x= 18

d)

x = 2 and x = 16