Free Printable Quadratic Equations Quiz

1.

Using the quadratic formula, solve the equation $2x^2+5x-3=0$ .

a)

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

b)

$x=-1$

c)

$x=-3$

d)

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

2.

Using the quadratic formula, determine the roots of the equation $4x^2-12x+9=0$ .

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3.

Identify the number of solutions for the equation $2x^2+4x+3=0$ .

a)

3

b)

2

c)

1

d)

0

4.

Identify the number of solutions for the equation $5x^2-3x-7=0$ .

a)

1

b)

2

c)

3

d)

0

5.

For what value of the parameter p does the equation $x^2-px+9=0$ have one solution?

a)

$p=4$

b)

$p=5$

c)

$p=6$

d)

$p=7$

6.

A ball is thrown into the air. The height of the ball at any time t is given by the equation $h=-5t^2+20t+10$ . Find the time it takes for the ball to hit the ground.

a)

5 seconds

b)

4.5 seconds

c)

4.45 seconds

d)

4.445 seconds

7.

A ball is thrown into the air. The height of the ball at any time t is given by the equation $h=-5t^2+20t+10$ . From what height was the ball thrown?

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8.

A ball is thrown into the air. The height of the ball at any time t is given by the equation $h=-5t^2+20t+10$ . Find the maximum height the ball will reach before it falls back down.

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9.

The area of a rectangular garden is 60 square meters. The length of the garden is 4 meters more than the width. Find the dimensions of the garden.

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10.

Use the discriminant to decide which of the following statements is true for the equation $3x^2+4x+2=0$ .

a)

The discriminant is -8, so the equation has no real root.

b)

The discriminant is 40, so the roots are real and rational.

c)

The discriminant is 40, so the roots are real and irrational.

d)

The discriminant is 0, so there is only one root.

11.

Use the discriminant to decide which of the following statements is true for the equation $2x^2-5x+3=0$ .

a)

The discriminant is 1, so there are two distinct, rational roots.

b)

The discriminant is -1, so the is no root.

c)

The discriminant is 0, so the roots are equal.

d)

The discriminant is 1, so there are two distinct, irrational roots.

12.

Solve the equation $3x+1=\sqrt[]{2x-7}$

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13.

Solve the equation $\left(x^2-5x+6\right)\left(2x^2-7x+6\right)=0$ .

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14.

Solve the equation $x^6-7x^3-8=0$

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15.

Solve the equaiton $x^4−46x^2−147=0$ .

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16.

Solve the inequality $2x^2+3x\le5$ .

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17.

Solve the inequality $2x^2+5x+2>0$ .

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18.

Solve the inequality $3x^2+5x+7>0$

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19.

Solve the equation $\frac{2}{x}-\frac{3}{x^2}+5=0$ .

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20.

Solve the equation $\frac{x+2}{x^2-1}-\frac{2x+1}{x-1}=1$ .

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21.

Find three consecutive whole numbers for which the square of the middle number is one more than the product of teh first and third numbers.

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22.

The ratio of three numbers is 1 : 2 : 4. The sum of teh squares of the three numbers is 189. Find the three numbers.

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23.

In a right triangle, the hypotenuse is longer than one of the legs by 3 cm, and than the other leg by 6 cm. Find the lengths of the sides of this triangle.

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24.

What is the domain of the equation $\sqrt[]{2x+5}=\sqrt[]{3-x}$ ?

a)

$x<-2.5$ or $x>3$

b)

$-2.5\le x\le3$

c)

$-2.5<x<3$

d)

$x\le-2.5$ or $x\ge3$

25.

Solve the equation $\sqrt[]{2x+5}=\sqrt[]{3-x}$ .

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26.

Solve the equation $\sqrt[]{x+4}=2x+7$ .

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Quadratic Equations Quiz

Total questions: 26

Worksheet time: 4hrs 20mins

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