Free Printable SOLVE QUADRATIC EQUATION BY FACTORING AND USING SQUARE ROOTS

1.

a)

± 1/4

b)

± 9/36

c)

± 1/2

d)

No real solution

2.

a)

±81

b)

±9

c)

±3

d)

No real solution

3.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

4.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

5.

Solve
16a² - 9 = 0

a)

a = ^-3/₄, ³/₄

b)

a = ^-4/₃, ⁴/₃

c)

a = ^-9/₁₆, ⁹/₁₆

d)

a = ^-16/₉, ¹⁶/₉

6.

Solve by taking square roots:
5m² + 1 = 6

a)

m = 0

b)

m = 1 or -1

c)

m = √7

d)

m = 7/5 m = -7/5

7.

Solve for x:
(x+6)²=49

a)

x=7,12

b)

x=±7

c)

x=1,-13

d)

x=43,-55

8.

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

a)

x = - 5 or x = - 7

b)

x = 5 or x = 7

c)

x = - 35 or x = - 1

d)

x = - 9 or x = - 4

9.

Solve

x^2-10x+25\ =0

a)

x= 0 ; x= 5

b)

x = 5

c)

x = 0

10.

Solve

x^2+4x=0

a)

$x=4;\ x=0$

b)

$x=-4;\ x=1$

c)

$x=4;\ x=-1$

d)

$x=-4;\ x=0$

11.

Solve

2x^2-6x=8

a)

$x=1;\ x=-4$

b)

$x=-1;\ x=4$

c)

$x=-2;\ x=2$

d)

$x=-1;\ x=2$

12.

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

y=-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

13.

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\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.

14.

Solve $6x^2-7x-3.$

a)

$x\ =\frac{3}{2},\ x=-\frac{1}{3}$

b)

$x\ =-\frac{3}{2},\ x=\frac{1}{3}$

c)

$x\ =-\frac{1}{2},\ x=\frac{1}{3}$

d)

$x\ =\frac{2}{3},\ x=-\frac{1}{3}$

SOLVE QUADRATIC EQUATION BY FACTORING AND USING SQUARE ROOTS

Total questions: 14

Worksheet time: 4hrs 30mins

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