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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Quadratic EquationsSection:The Quadratic Formula
 

Problem: 1

Compare 16 x2 + 8x +1 = 0 with the standard form ax2 + bx + c = 0 and give the values of a, b and c.


Problem: 3

Solve using the quadratic formula.

x2 – 6x = 16


Problem: 5

Solve using the quadratic formula.

x2 = 4x – 4


Problem: 7

Solve using the quadratic formula.

2y2 – 3y – 2 = 0


Problem: 9

Compare (x + 5)2 = 0 with the standard form ax2 + bx + c = 0 and give the values of a, b and c.


Problem: 11

Solve using the quadratic formula.

x2 – 6x = 16


Problem: 13

Solve using the quadratic formula.

x2 = 4x – 4


Problem: 15

Solve using the quadratic formula.

2y2 – 3y – 2 = 0


Problem: 17

Solve using the quadratic formula. Round your answer to two decimal places.


Problem: 19

Solve using the quadratic formula. Round your answer to two decimal places.


Problem: 21

Solve using the quadratic formula. Round your answer to two decimal places.


Problem: 23

Solve using the quadratic formula.

3x2 + 12x + 18 = 0


Problem: 25

Solve using the quadratic formula.

x2 + 7x – 13 = 0


Problem: 27

Solve using the quadratic formula.

x2 = 7x – 9


Problem: 29

Solve using the quadratic formula.

4x2 + 12x – 7 = 0


Problem: 31

Solve using the quadratic formula.

x2 – 4x + 9 = 0


Problem: 33

Solve:


Problem: 35

Solve:


Problem: 37

Solve:


Problem: 39

Solve:


Problem: 41

Solve:


Problem: 43

Solve:


Problem: 45

Solve:


Problem: 47

Solve:


Problem: 49

A positive real number is 2 greater than its reciprocal. Find the number.


Problem: 51

A rectangular field with an area of 6000 m2 has a 380 m fence around it. Find its dimensions.


Problem: 1

Compare 16x2 + 8x +1 = 0 with the standard form ax2 + bx + c = 0 and give the values of a, b and c.


Problem: 3

Solve using the quadratic formula.

x2 – 6x = 16


Problem: 5

Solve using the quadratic formula.

x2 = 4x – 4


Problem: 7

Solve using the quadratic formula.

2y2 – 3y – 2 = 0


Problem: 9

Compare (x + 5)2 = 0 with the standard form ax2 + bx + c = 0 and give the values of a, b and c.


Problem: 11

Solve using the quadratic formula.

x2 – 6x = 16


Problem: 13

Solve using the quadratic formula.

x2 = 4x – 4


Problem: 15

Solve using the quadratic formula.

2y2 – 3y – 2 = 0


Problem: 17

Solve using the quadratic formula. Round your answer to two decimal places.


Problem: 19

Solve using the quadratic formula. Round your answer to two decimal places.


Problem: 21

Solve using the quadratic formula. Round your answer to two decimal places.


Problem: 23

Solve using the quadratic formula.

3x2 + 12x + 18 = 0


Problem: 25

Solve using the quadratic formula.

x2 + 7x – 13 = 0


Problem: 27

Solve using the quadratic formula.

x2 = 7x – 9


Problem: 29

Solve using the quadratic formula.

4x2 + 12x – 7 = 0


Problem: 31

Solve using the quadratic formula.

x2 – 4x + 9 = 0


Problem: 33

Solve:


Problem: 35

Solve:


Problem: 37

Solve:


Problem: 39

Solve:


Problem: 41

Solve:


Problem: 43

Solve:


Problem: 45

Solve:


Problem: 47

Solve:


Problem: 49

A positive real number is 2 greater than its reciprocal. Find the number.


Problem: 51

A rectangular field with an area of 6000 m2 has a 380 m fence around it. Find its dimensions.