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Hotmath Practice Problems

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Title:

Hotmath Algebra 1

Author:

Hotmath Team

Free, Lessons

Chapter:Quadratic EquationsSection:Solving Quadratic Equations by Finding Square Roots

Problem: 1

For the given number, find all square roots or write no square roots. Check your answer by squaring.

121

Problem: 3

For the given number, find all square roots or write no square roots. Check your answer by squaring.

–49

Problem: 5

For the given number, find all square roots or write no square roots. Check your answer by squaring.

196

Problem: 7

For the given number, find all square roots or write no square roots. Check your answer by squaring.

0.25

Problem: 9

Evaluate the given expression. Round to the nearest hundredth, if an exact answer is not possible.

Problem: 11

Evaluate the given expression. Round to the nearest hundredth, if an exact answer is not possible.

Problem: 13

Evaluate the expression. Round to the nearest hundredth, if an exact answer is not possible.

Problem: 15

Evaluate the given expression. Round to the nearest hundredth, if an exact answer is not possible.

Problem: 17

Solve, or write no solution. If possible, write the solutions as integers, otherwise write them using radicals.

b² = 144

Problem: 19

Solve, or write no solution. If possible, write the solutions as integers, otherwise write them using radicals.

x² = 169

Problem: 21

Solve, or write no solution. If possible, write the solutions as integers, otherwise write them using radicals.

x² = –7

Problem: 23

Solve, or write no solution. If possible, write the solutions as integers, otherwise write them using radicals.

a² + 6 = 55

Problem: 25

Solve, or write no solution. If possible, write the solutions as integers, otherwise write them using radicals.

4s² – 20 = 124

Problem: 27

Solve, or write no solution. If possible, write the solutions as integers, otherwise write them using radicals.

9x² + 25 = 16

Problem: 29

Solve, or write no solution. If possible, write the solutions as integers, otherwise write them using radicals.

16x² – 64 = 0

Problem: 31

Solve.

7x² – 21 = 0

Problem: 33

Solve.

6y² + 5 = 23

Problem: 35

Solve.

4z² – 20 = 8.

Problem: 37

You are standing on the roof of a building 75 feet above the ground. You drop a stone over the side. How long will it take for the stone to hit the ground?

Problem: 39

An object is dropped from a height of 168 feet. Assuming that there is no air resistance, how long does it takes to reach the ground?