Solving Quadratic Equations

Solving Quadratic Equations

8th Grade

10 Qs

quiz-placeholder

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Solving Quadratic Equations

Solving Quadratic Equations

Assessment

Quiz

Life Skills

8th Grade

Medium

Created by

RiChiella Johnson

Used 1+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the quadratic equation: x² + 6x + 5 = 0

x = -1 or x = -5

x = 1 or x = 5

x = -2 or x = -3

x = 2 or x = 3

Answer explanation

To solve x² + 6x + 5 = 0, factor it as (x + 1)(x + 5) = 0. Setting each factor to zero gives x = -1 and x = -5. Thus, the correct answer is x = -1 or x = -5.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the quadratic equation: x² + 8x - 9 = 0

x = 1, x = -9

x = -1, x = 9

x = 3, x = -3

x = -3, x = 3

Answer explanation

To solve x² + 8x - 9 = 0, use the quadratic formula x = (-b ± √(b²-4ac))/2a. Here, a=1, b=8, c=-9. This gives x = 1 and x = -9, making the correct choice x = 1, x = -9.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the quadratic equation: x² - 6x + 9 = 0

x = 3

x = -3

x = 0

x = 6

Answer explanation

To solve x² - 6x + 9 = 0, factor it as (x - 3)² = 0. Setting (x - 3) = 0 gives x = 3. Thus, the correct answer is x = 3.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the quadratic equation: x² + 4x - 7 = 0

x = 1, x = -7

x = -2 ± √11

x = 3, x = -3

x = 2 ± √5

Answer explanation

To solve x² + 4x - 7 = 0, use the quadratic formula x = (-b ± √(b²-4ac))/2a. Here, a=1, b=4, c=-7. This gives x = -4/2 ± √(16+28)/2 = -2 ± √11. Thus, the correct answer is x = -2 ± √11.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the quadratic equation: x² - 5x - 24 = 0

x = 8 or x = -3

x = 6 or x = -4

x = 5 or x = -5

x = 7 or x = -2

Answer explanation

To solve x² - 5x - 24 = 0, we can factor it as (x - 8)(x + 3) = 0. Setting each factor to zero gives x = 8 or x = -3, confirming the correct choice.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the quadratic equation: x² - 8x + 15 = 0

x = 3 or x = 5

x = 2 or x = 7

x = 1 or x = 8

x = 4 or x = 6

Answer explanation

To solve x² - 8x + 15 = 0, factor it as (x - 3)(x - 5) = 0. Setting each factor to zero gives x = 3 or x = 5, which matches the correct answer choice.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the quadratic equation: 4x² - 4x + 17 = 0

x = 1 + 2i, x = 1 - 2i

x = 2 + 3i, x = 2 - 3i

x = 3 + 4i, x = 3 - 4i

x = 4 + 5i, x = 4 - 5i

Answer explanation

To solve 4x² - 4x + 17 = 0, we use the quadratic formula x = (-b ± √(b² - 4ac)) / 2a. Here, a=4, b=-4, c=17. The discriminant (b² - 4ac) is negative, yielding complex roots: x = 1 ± 2i.

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