Finished:Math Practice Questions 29/04/2025

Question 1

Solve for ( x ):
( 3x + 7 = 22 )

Steps:

=> 3x = 22- 7

=> 3x = 15

x= 5

Answer: 5

Question 2

Expand and simplify:
( 2(x + 5) - 3(x - 4) )

Steps:

= 2x+10-3x +12

=-x+22

Answer:-x+22

Question 3

Factorize fully:
( 6x^2 - 9x )

Steps:

3x(2x-3)

Answer: 3x(2x-3)

Question 4

Solve the simultaneous equations:
( 2x + y = 10 )
( x - y = 2 )

Steps:

based off equation 2 x=2+y

putting this into equation 1

=> 4+2y+y=10

=> 3y=6

y=2

if y = 2 then

2x+y=10

becomes

2x=2=10

2x=8

x=4

Answer: y=2 and x=4

Question 5

Simplify the expression:
4x^2 - 8x/2x

Steps: factor out

4x(x-2)/2x

2*2x(x-2)/2x

2(x-2)

2x-4

Answer: 2x-4

Question 6

Solve for ( x ):
x/3 + 5 = 11

Steps:

x/3=11-5

x/3=6

times both sides by 3

x=18

Answer: x=18

Question 7

Solve the inequality:
( 5 - 2x \leq 17 )

Steps:

take away five from both sides

-2x \leq 12

div -2 on both sides

x \geq-6

Answer: x \geq -6

Question 8

Solve the simultaneous equations:
( 3x + 2y = 16 )
( x + y = 6 )

Steps:

y = 6-x

3x+ 12-2x=16

x+12 = 16

x= 4

putting x into the first equation

=> 12+2y =16

=> 2y=4

=> y=2

Answer: y=2 and x=4

Question 9

Simplify:
( (2x^3)^2 \times x^{-4} )

Steps:

=> 4x⁶ / x⁴

=> 4x²

Answer: 4x^2

Question 10

Solve for ( x ):
( x^2 - 5x + 6 = 0 )

Steps:

Answer: help