Finished: Math Practice Questions 3/05/2025

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:

move 7 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

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 off equation 2

x=2+y

putting this into equation 1

4+2y+y=10

=>3y+4=10

=>3y=6

y=2

Answer: y=2 and x=4

Question 5

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

Steps:

factor out

4x(x-2)/2x

2x -4

Answer: 2x - 4

Question 6

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

Steps:

moving the 5 over

x/3 = 6

x=18

Answer: x=18

Question 7

Solve the inequality:
5 - 2x \leq 3

Steps:

-2x \leq -2

-x \leq -1

x\geq 1

Answer: x\geq 1

Question 8

A rectangle has a length of ( (2x + 3) ) cm and a width of ( (x - 1) ) cm. Write an expression for its area in expanded form.

Steps:

(2x+3)(x-1)

2x(x-1)+3(x-1)

2x²-2x+3x-3

2x²+x-3

Answer: 2x^2 +x-3

Question 9

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

Steps:

based on equation 2

-y=3-x

y=-3+x

Putting this into equation 2

3x -6 +2x= 16

5x=22

x=4.4

Answer: x=4.4 and y=1.4

Question 10

Simplify:
( (3x^2)(4x^3) )

Steps:

3x² * 4x²

12x⁵

Answer: 12x^5

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