Free Printable Solving Quadratics

1.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

2.

What should you do first in solving this equation?

x² + 6x - 13 = 3

a)

Factor

b)

Write down: a = 1, b = 6, c = -13

c)

Subtract 3 from both sides.

d)

Add 3 to both sides.

3.

What are the solutions to this equation? (x-3)(x+2)=0

a)

x= {-2,3}

b)

x= {-3,2}

c)

x= {2,3}

d)

x= {-3,-2}

4.

Solve.

$2x^2-5x+2=0$

a)

$x=\frac{-1}{2}$ or $x=-2$

b)

$x=-1$ or $x=-4$

c)

$x=4$ or $x=1$

d)

$x=\frac{1}{2}$ or $x=2$

5.

Solve:

x² - 49 = 0

a)

x = -7 or x = 7

b)

x = -7

c)

x = 7

d)

x = -7 or x = 1

6.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

7.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

8.

What are the factors AND solutions of x² + 2x – 3 = 0

a)

(x - 2)(x + 1); x=2, x=-1

b)

(x + 1)(x - 3); x=-1, x=3

c)

(x + 2)(x - 1); x=-2, x=1

d)

(x - 1)(x + 3); x=1, x=-3

9.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

10.

What are the roots of the quadratic function?

a)

-4 and -2

b)

4 and 2

c)

-4 and 2

d)

4 and -2

11.

TRUE OR FALSE:

The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

12.

Find the quadratic regression equation for the relationship of the horizontal distance and the height of the ball in the provided table.

a)

$-18x^2+2.11x+4.21$

b)

$-0.06x^2+1.06x+7.9$

c)

$-6x^2+1.06x+79$

d)

$-0.12x^2+2.11x+4.22$

13.

Find the height of the ball when it traveled a distance of 10 feet.

a)

12.8 ft

b)

13.5 ft

c)

11.1 ft

d)

17 ft

Solving Quadratics

Total questions: 13

Worksheet time: 45mins

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