Quadratic Equation Solving Quiz

• x = 6

• x = -6

• x = 0

• x = 12

Answer explanation

To solve the equation (x - 6)^2 = 0, we take the square root of both sides, giving us x - 6 = 0. Solving for x, we find x = 6. Thus, the correct answer is x = 6.

Solve the equation (r + 8)(4r - 1) = 0.

• r = -8 or r = 0.25

• r = 8 or r = -0.25

• r = 8 or r = 0.25

• r = -8 or r = -0.25

Answer explanation

To solve (r + 8)(4r - 1) = 0, set each factor to zero: r + 8 = 0 gives r = -8, and 4r - 1 = 0 gives r = 0.25. Thus, the solutions are r = -8 or r = 0.25, matching the first answer choice.

What are the solutions to the equation (b - 3)(4b - 1) = 0?

• b = 3 or b = 0.25

• b = -3 or b = 0.25

• b = 3 or b = -0.25

• b = -3 or b = -0.25

Answer explanation

To solve (b - 3)(4b - 1) = 0, set each factor to zero: b - 3 = 0 gives b = 3, and 4b - 1 = 0 gives b = 0.25. Thus, the solutions are b = 3 or b = 0.25, making the correct choice the first option.

Find the solutions for the equation (7a - 2)(a - 8) = 0.

• a = 2/7 or a = 8

• a = -2/7 or a = 8

• a = 2/7 or a = -8

• a = -2/7 or a = -8

Answer explanation

To solve (7a - 2)(a - 8) = 0, set each factor to zero: 7a - 2 = 0 gives a = 2/7, and a - 8 = 0 gives a = 8. Thus, the solutions are a = 2/7 or a = 8, matching the correct choice.

What is the solution to the equation x(x + 3) = 0?

• x = 0 or x = -3

• x = 0 or x = 3

• x = -3 or x = 3

• x = 3 or x = -3

Answer explanation

To solve x(x + 3) = 0, set each factor to zero: x = 0 or x + 3 = 0. Solving x + 3 = 0 gives x = -3. Thus, the solutions are x = 0 or x = -3, making the correct choice: x = 0 or x = -3.

Solve the equation (p - 3)(p + 4) = 0.

• p = 3 or p = -4

• p = -3 or p = 4

• p = 3 or p = 4

• p = -3 or p = -4

Answer explanation

To solve (p - 3)(p + 4) = 0, set each factor to zero: p - 3 = 0 gives p = 3, and p + 4 = 0 gives p = -4. Thus, the solutions are p = 3 or p = -4, making the correct choice the first option.

• a = 0 or a = 2

• a = 0 or a = -2

• a = 2 or a = -2

• a = 1 or a = -1

Answer explanation

To solve the equation a^2 - 2a = 0, factor it as a(a - 2) = 0. This gives solutions a = 0 and a = 2. Thus, the correct answer is a = 0 or a = 2.

• p = 3 or p = 8

• p = 4 or p = 6

• p = 2 or p = 12

• p = 1 or p = 24

Answer explanation

To solve the equation p^2 - 11p + 24 = 0, we can factor it as (p - 3)(p - 8) = 0. This gives us the solutions p = 3 and p = 8, making the correct answer p = 3 or p = 8.

• p = 0 or p = 7

• p = 0 or p = -7

• p = 7 or p = -7

• p = 3.5 or p = -3.5

Answer explanation

To solve the equation p^2 - 7p = 0, factor out p: p(p - 7) = 0. This gives p = 0 or p - 7 = 0, leading to p = 7. Thus, the solutions are p = 0 or p = 7, making the correct choice the first option.

• x = 5 or x = -7

• x = -5 or x = 7

• x = 5 or x = 7

• x = -5 or x = -7

Answer explanation

To solve the equation x^2 + 2x - 35 = 0, we can factor it as (x + 7)(x - 5) = 0. This gives us the solutions x = 5 and x = -7, making the correct answer x = 5 or x = -7.