Finished:Math Practice Questions 28/04/2025
Here are 10 algebra practice questions for NCEA Level 1, formatted with blank "Steps:" and "Answer:" sections for each question:
Question 1
Solve for ( x ):
( 3x + 7 = 22 )
Steps:
=> 3x = 15
=> x=5
Answer: 5
Question 2
Expand and simplify:
( 2(x + 5) - 3(x - 2) )
Steps:
2x+10 -3x+6
-x+10+6
-x+16
Answer: -x+16
Question 3
Factorise 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=y+2
put x =y+2 into equation 1 => 2y+4+y =10
=> 3y=6
so y = 2
Answer: y=2 x=4
Question 5
Simplify the expression:
(4x^2 - 8x)/(2x)
Steps:
=2x( 2x-4)/(2x)
=2x-4
Answer:2x-4
Question 6
Solve for ( x ):
( \frac{x}{3} + 5 = 11 )
Steps:
=> x/3 + 5 = 11
x +15= 33
x=18
Answer: 18
Question 7
Solve the inequality:
( 5 - 2x ≤ 11 )
Steps:
-2x ≤ 11-5
=>-2x≤6
=> -6 ≤ 2x
=> -3 ≤ x
=> x ≥ -3
Answer:x ≥ -3
Question 8
Find the value of ( y ) when ( x = 4 ) in the equation:
( y = 3x^2 - 2x + 1 )
Steps:
=> y = 3*4^2-2 *4+1
=> y = 3*16-8+1
=> y= 48 - 8 +1
=> y= 40 +1
=> y= 41
Answer:41
Question 9
Solve the simultaneous equations:
( 5x + 2y = 16 )
( 4x - y = 5 )
Steps:
=>-y= 5-4x
=>y=4x-5
put =>y=4x-5 into equation 1 => 3x+ 2* (4x-5)=16
=> 5x+ 8x-10=16
=> 13x-10=16
=> 13x=16+10
=> 13x=26
=> x=2
put x =2 into equation 2 = > 4*2 - y = 5 => y = 3
Answer: x=2 , y=3
Question 10
Simplify the expression:
( (2x + 3)(x - 4) )
Steps:
= 2X*X-8X+3X-12
=2X2 -5X-12
Answer: 2X2 -5X-12
Let me know if you'd like any adjustments or additional questions! by deepseek-chat