Math Algebra

log₄(64)=χ ,then χ=.........

• 64

• 4

• 3

• none of these

IF(x-y)=3 & (x²-y²)=15,THEN(x+y)=......

• 10

• 5

• 45

• 20

Factorize the following:

(x² - 9)(x² + 9)

• x⁴ - 81

• (x-9)²

• x² -18x + 81

• 2x - 18

Simplify:

2xy³ + x - 2y

If x = 2 and y = -2

• 2(4)(-2)³ + 2 - 2(2)

  = 4(-12) + 2 + 4 = - 22

• 2(8)(-2)³ + 2 - 2(-4)

  = 4(20) + 2 + 4 =32

• 2(2)(-2)³ + 2 - 2(-2)

  = 4(-8) + 2 + 4 = - 26

Solve for x: 2x²=16

• x²=8

• x=4

• x=14

• x=0

State whether the following is true or false:

x + y + z = z + y + x

• False

• True

The additive inverse of -10 is 10.

• True

• False

(ax-bx)+(2a-2b)=.........

• (ax-bx)(2a-2b)

• 2xa²+2abx-2abx+-2b²x

• x(a-b)+2(a-b)= (a-b)(x-2)

• None of the above

Arrange in descending order: 2^x; 2x; 2x²; 2^x; x² ; 2; x , (if x3)

• 2x² ; 2^x; ; x²; 2x; x; 2

• 2^x; 2x; 2x²; 2^x; x² ; 2; x

• x; 2; 2^x; x² ; 2x; 2x²;

• 2; x; 2x; 2x²; 2^x

The difference of the following two cubes can be factorised as:

x³ - y³

• (x - y) = (x² + xy + y²)

• (x² - y²) = (x - xy + y)