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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Quadratic EquationsSection:Solving Quadratic Equations by Finding Square Roots
 
Problem: 1

Solve using square roots:

3x2 = 75

Problem: 3

Solve using square roots:

Problem: 5

Solve using square roots:

16y2 – 7 = 8

Problem: 7

Solve using square roots:

–3y2 + 16 = 4y2 – 12

Problem: 9

Solve using square roots:

7( x2 – 1) = 6(x2 + 3)

Problem: 11

Solve using square roots:

Problem: 13

Solve using square roots:

7x2 = 63

Problem: 15

Solve using square roots. Round your answer to the nearest tenth.

17x2 – 325 = 0

Problem: 17

Solve using square roots. Round your answer to the nearest hundredth.

x2 + 64 = 81

Problem: 19

Solve using square roots. Round your answer to the nearest thousandth.

Problem: 21

Solve using square roots.

Problem: 23

Solve using square roots.

7(x + 1)2 = 343

Problem: 25

Solve using square roots. Leave the answer in radical form.

3( x – 5)2 = 144

Problem: 27

Sketch the graph of the functions given below on the same set of axes. How are the two graphs related?

Problem: 29

Use the graph of each equation to determine the solutions.

x2 + 12x + 36 = 0

Problem: 31

Graph the function. Name the vertex and the axis of symmetry of the parabola.

x2 + 16x + 70

Problem: 33

Graph the function and then find the solutions from the graph.

p2– 4p – 21 = 0

Problem: 35

Graph the function and then find the solutions from the graph.

x2 – 7x= –10

Problem: 37

Graph the function and then find the solutions from the graph.

5x2 + 2x = –9x – 3

Problem: 39

Graph the function and then find the solutions from the graph.

3a2 + 4a = 2

Problem: 41

The area of a square is 144x2. The length of one of its sides plus 23 is 59. Find the value of x.

Problem: 1

Solve using square roots:

3x2 = 75

Problem: 3

Solve using square roots:

Problem: 5

Solve using square roots:

16y2 – 7 = 8

Problem: 7

Solve using square roots:

–3y2 + 16 = 4y2 – 12

Problem: 9

Solve using square roots:

7( x2 – 1) = 6(x2 + 3)

Problem: 11

Solve using square roots:

Problem: 13

Solve using square roots:

7x2 = 63

Problem: 15

Solve using square roots. Round your answer to the nearest tenth.

17x2 – 325 = 0

Problem: 17

Solve using square roots. Round your answer to the nearest hundredth.

x2 + 64 = 81

Problem: 19

Solve using square roots. Round your answer to the nearest thousandth.

Problem: 21

Solve using square roots.

Problem: 23

Solve using square roots.

7(x + 1)2 = 343

Problem: 25

Solve using square roots. Leave the answer in radical form.

3( x – 5)2 = 144

Problem: 27

Sketch the graph of the functions given below on the same set of axes. How are the two graphs related?

Problem: 29

Use the graph of each equation to determine the solutions.

x2 + 12x + 36 = 0

Problem: 31

Graph the function. Name the vertex and the axis of symmetry of the parabola.

x2 + 16x + 70

Problem: 33

Graph the function and then find the solutions from the graph.

p2 – 4p – 21 = 0

Problem: 35

Graph the function and then find the solutions from the graph.

x2 – 7x = –10

Problem: 37

Graph the function and then find the solutions from the graph.

5x2 + 2x = –9x – 3

Problem: 39

Graph the function and then find the solutions from the graph.

3a2 + 4a = 2

Problem: 41

The area of a square is 144x2. The length of one of its sides plus 23 is 59. Find the value of x.