Quiz about Review: Quadratics This Far

Question 1

Factor the following by difference of squares:

$$25x^4-25$$

Accepted Answer

$$\left(5x^2-5\right)\left(5x^2+5\right)$$

Answer

$$(5x-5)(5x+5)$$

Answer

$$\left(x-5\right)\left(x+5\right)$$

Answer

$$\left(5x^2+5\right)\left(5x^2+5\right)$$

Question 2

When can you solve a quadratic equation by factoring?

Accepted Answer

When it is factorable.

Answer

You can always solve by factoring.

Question 3

When can you solve an quadratic equation by taking the square root?

Accepted Answer

Only when there is no b term.

Answer

Only when a = 1.

Answer

Only when it is factorable.

Answer

Only if the equation equals 0.

Question 4

When can you solve a quadratic equation by completing the square?

Accepted Answer

Only when a = 1

Answer

Only when a > 1

Answer

Only when there is no b term

Answer

Only when the equation is equal to 0

Question 5

Which of the following shows quadratic standard form?

Accepted Answer

$$ax^2+bx+c=0$$

Answer

$$a^2+b^2=c^2$$

Answer

$$ax^2+c+bx=0$$

Answer

$$ax^2+bx=c$$

Question 6

What is the first step when solving by taking square roots?

Accepted Answer

Move constant to other side of equal sign.

Answer

Take the square root of everything.

Question 7

What is the first step when solving by completing the square?

Accepted Answer

Move c to the other side of the equal sign.

Answer

Divide b term by 2 and then square it.

Answer

Take the square root of everything.

Answer

Find factors of c.

Question 8

True or False. You can solve the following by taking the square root.

$$x^2+10x+25=0$$

Accepted Answer

False

Answer

True

Question 9

True or False. You can solve the following by factoring.

$$x^2+10x+25=0$$

Accepted Answer

True

Answer

False

Question 10

True or False. You can solve the following by completing the square.

$$x^2+10x+25=0$$

Accepted Answer

True

Answer

False

Question 11

True or False. You can solve the following by taking the square root.

$$2x^2+6x+5=0$$

Accepted Answer

False

Answer

True

Question 12

True or False. You can solve the following by factoring.

$$2x^2+6x+5=0$$

Accepted Answer

False

Answer

True

Question 13

True or False. You can solve the following by completing the square.

$$2x^2+6x+5=0$$

Accepted Answer

False

Answer

True

Question 14

True or False. You can solve the following by taking the square root.

$$x^2-27=12$$

Accepted Answer

True

Answer

False

Question 15

True or False. You can solve the following by factoring.

$$x^2-27=12$$

Accepted Answer

False

Answer

True

Question 16

True or False. You can solve the following by factoring.

$$x^2-27=12$$

Accepted Answer

False

Answer

True

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