Quiz about Ch3 Revision

Question 1

x2 - 9

Accepted Answer

(x + 3) (x - 3)

Answer

(x + 3)2

Answer

(x - 3)2

Answer

x + 3(x - 3)

Question 2

x2 - 16

Accepted Answer

(x + 4) (x - 4)

Answer

(x + 8) (x - 2)

Answer

(x + 4)2

Answer

x + 4(x - 4)

Question 3

4x2 - 25

Accepted Answer

(2x + 5) (2x - 5)

Answer

(2x - 5)2

Answer

(2x + 5)2

Answer

2x + 5(2x - 5)

Question 4

25x² - 36y²

Accepted Answer

(5x + 6y) (5x - 6y)

Answer

5x + 6y(5x - 6y)

Answer

(5x + 6y)²

Answer

(5x - 6y)²

Question 5

4x²y² - 1

Accepted Answer

(2xy + 1) (2xy - 1)

Answer

(2 + xy) (2 - xy)

Answer

(2x + y) (2x - y)

Answer

(2y + x) (2y - x)

Question 6

64x² - 81y²

Accepted Answer

(8x + 9y) (8x - 9y)

Answer

(8x + 7y) (8x - 7y)

Answer

(6x + 7y) (6x - 7y)

Answer

(6x + 9y) (6x - 9y)

Question 7

4x2 - 16

Accepted Answer

4(x + 2) (x - 2)

Answer

4(2x + 4) (x - 2)

Answer

4(4x + 2) (x - 2)

Answer

(2x + 4) (2x - 4)

Question 8

49x² - 144y²

Accepted Answer

(7x + 12y) (7x - 12y)

Answer

(7x + 16y) (7x - 16y)

Answer

(7x + 12y)²

Answer

(12x + 7y) (12x - 7y)

Question 9

We can't factor using difference of two square this

25x² - 51y². Why?

Accepted Answer

Because 51 is not a perfect squared number.

Answer

Because 51 is not a perfect cubed number.

Answer

Because 25 is not a perfect squared number.

Answer

Because we can't factor using difference of two squares if it is addition sign.

Question 10

What is ALWAYS the first step when factoring?

Accepted Answer

Look for the common factors

Answer

Write a, b, and c

Answer

Difference of squares

Answer

Use the cross-method

Question 11

Which one is false about the difference of two squares?

Accepted Answer

We can factor because there is addition sign.

Answer

We can factor because there is a perfect squared number (Example: x², 25, 49)

Answer

Formula: a² - b² = (a + b) (a - b)

Answer

We can factor because there is minus sign.

Question 12

Fully Factor the Following
25x²-81

Accepted Answer

(5x+9)(5x-9)

Answer

(5x-9)2

Answer

25(x-9)2

Answer

(9x+5)(9x-5)

Question 13

Factor completely.

49x² + 16

Accepted Answer

does not factor (SUM of squares)

Answer

( 7x + 4 ) ( 7x - 4 )

Answer

( 7x + 4 ) ( 7x + 4 )

Answer

( 7x - 4 ) ²

Question 14

32n² - 50
(Check for a GCF)

Accepted Answer

2(4n + 5)(4n - 5)

Answer

(16n - 25)(16n + 25)

Answer

2(8n - 25)(8n + 25)

Answer

Not Factorable

Question 15

$$Expand:\ \ \left(x+8\right)^2=$$

Accepted Answer

$$x^2+16x+64$$

Answer

$$x^2+16x+48$$

Answer

$$x^2-16x+48$$

Answer

$$x^2-16x-64$$

Question 16

$$Expand:\ \left(4+a\right)^2=$$

Accepted Answer

$$16+8a+a^2$$

Answer

$$16-8a+4$$

Answer

$$16+4a+a^2$$

Answer

$$8+4a+a^2$$

Question 17

$$Expand:\ \left(3a+2\right)^2$$

Accepted Answer

$$9a^2+12a+4$$

Answer

$$9a+6a+4$$

Answer

$$9a^2+6a+2$$

Answer

$$9a^2+12a+6$$

Question 18

$$Expand:\ \left(\frac{x}{3}+4\right)^2$$

Accepted Answer

$$\frac{x^2}{9}+\frac{8x}{3}+16$$

Answer

$$\frac{x}{9}+\frac{8}{3}+16$$

Answer

$$\frac{x^2}{9}+\frac{8x}{3}+8$$

Answer

$$\frac{x^2}{3}+\frac{8x}{3}+16$$

Question 19

$$Expand:\ \left(x^2+6\right)^2$$

Accepted Answer

$$x^4+12x^2+36$$

Answer

$$x^2+12x^2+36$$

Answer

$$x^4+12x^2+12$$

Answer

$$x^4-12x^2+36$$

Question 20

$$Expand:\ \left(x-6\right)^2$$

Accepted Answer

$$x^2-12x+36$$

Answer

$$x^2+12x+36$$

Answer

$$x^2+12x+12$$

Answer

$$x^2-6x+36$$

Question 21

$$Expand:\ \left(4x-3\right)^2$$

Accepted Answer

$$16x^2-24x+9$$

Answer

$$16x^2-24x+6$$

Answer

$$16x^2+12x+9$$

Answer

$$16x^2-12x+9$$

Question 22

$$Expand:\ \left(b-\frac{1}{2}\right)^2=$$

Accepted Answer

$$b^2-b+\frac{1}{4}$$

Answer

$$b^2-b$$

Answer

$$b^2+2b+\frac{1}{4}$$

Answer

$$b^2-2b+\frac{1}{2}$$

Question 23

$$Expand:\ \left(x^3+3\right)^2$$

Accepted Answer

$$x^6+6x^3+9$$

Answer

$$x^9+6x^3+9$$

Answer

$$x^3+6x+9$$

Answer

$$x^6+12x^3+3$$

Question 24

$$Expand:\ \left(5-4x\right)^2=$$

Accepted Answer

$$25-40x+16x^2$$

Answer

$$25-20x+16x^2$$

Answer

$$25+40x+8x^2$$

Answer

$$25-20x+8x^2$$

Question 25

$$Expand:\ \left(a-7\right)^2$$

Accepted Answer

$$a^2-14a+49$$

Answer

$$a^2-7a+14$$

Answer

$$a^2+14a+49$$

Answer

$$a^2-7a+49$$

Question 26

$$Expand:\ \left(a^3-b^2\right)^2=$$

Accepted Answer

$$a^6-2a^3b^2+b^4$$

Answer

$$a^6-a^3b^2+b^4$$

Answer

$$a^6+2a^3b^2+b^4$$

Answer

$$a^9-a^3b^2+b^4$$

Question 27

$$Expand:\ \left(2a+2\right)\cdot\left(2a+2\right)$$

Accepted Answer

$$4a^2+8a+4$$

Answer

$$4a^2+4a+4$$

Answer

$$4a^2-4a+8$$

Answer

$$4a^2+4a+8$$

Question 28

$$Expand:\ \left(a^4+8\right)^2=$$

Accepted Answer

$$a^8+16a^4+64$$

Answer

$$a^{16}+16a^4+64$$

Answer

$$a^8+8a^4+16$$

Answer

$$a^4+4a^4+64$$

Question 29

$$Expand:\ \left(1+\frac{2}{a}\right)^2=$$

Accepted Answer

$$1+\frac{4}{a}+\frac{4}{a^2}$$

Answer

$$1+\frac{4}{a}+\frac{4}{a}$$

Answer

$$1+\frac{4}{a}+\frac{2}{a^2}$$

Answer

$$1+\frac{2}{a}+\frac{2}{a^2}$$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics