Finished: Math Practice Questions 9/05/2025

Here are 10 algebra practice questions for NCEA Level 1, formatted with explicit Steps and Answer sections for each question:

Question 1

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

Steps:

move seven over

3x=15

x=5

Answer:x=5

Question 2

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

Steps:

2x+10-3x+6

-x+16

Answer: -x+16

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 on equation 2

x=2+y

putting this into equation 1

4+2y+y=10

3y=6

y=2

Answer: y=2 and x =4

Question 5

Simplify the expression:
(4x^2 - 9)/(2x + 3)

Steps:

(2x-3) *(2x+3) /2x+3

2x-3

Answer: 2x - 3

Question 6

Solve for ( x ):
{3x - 1}/{4} = 5 )

Steps:

3x-1=20

3x=21

x=7

Answer: x=7

Question 7

Solve the inequality:
( 5 - 2x \leq 11 )

Steps:

-2x\leq 6

-x \leq 3

x\geq-3

Answer: x\geq-3

Question 8

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

Steps:

based on equation 2

x=6-y

putting this into equation 1

18-3y+2y=16

18-y=16

-y=-2

y=2

Answer: y = 2 and x = 4

Question 9

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

Steps:

2x⁶ * x^-4

4x^2

Answer: 4x^2

Question 10

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

Steps:

( x^2 - 5x + 6 = 0 ) as ((x-2)(x-3) = 0), giving ( x = 2 ) or ( x = 3 ).

Answer: x= 2 or 3

Let me know if you'd like any adjustments or additional explanations! by deepseek-chat