Finished: Math Practice Questions 1/05/2025

Here are 10 algebra practice questions for NCEA Level 1, formatted as requested:

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(2x - 4) ]

Steps:

2x+10+6x-12

8x-2

Answer: 8x-2

Question 3

Factorize completely:
[ 6x^2 - 9x ]

Steps:

3x(2x-3)

Answer: 3x(2x-3)

Question 4

Solve the simultaneous equations:

x + y = 10
2x - y = 5

Steps:

based of equation 1 x=10-y

Putting this into equation 2

20-2y-y=5

20-3y=5

=5

Answer: y=5 and x=5

Question 5

Simplify the expression:
[ \frac{4x^2 - 8x}{2x} ]

Steps:

(4x²-8x) / 2x

2x-4

Answer: 2x-4

Question 6

Solve for ( x ):
2x - 1/3= 5

Steps:

2x-1/3=5

2x-1=15

2x=14

x=7

Answer: x=7

Question 7

A rectangle has a length of ( (3x + 2) ) cm and a width of ( (x - 4) ) cm.
Write an expression for its area in expanded form.

Steps:

(3x+2)*(x-4)

3x^2-12x+2x-8

Answer: 3x^2-12x+2x-8

Question 8

Solve the inequality:
5 - 2x \leq 11

Steps:

5-2x\leq 11

-2x\leq 6

x\geq -3

Answer: x \geq -3

Question 9

Solve the simultaneous equations:

3x + 2y = 16
x - y = 3

Steps:

-y=3-x

y=-3+x

y=x-3

based on equation 1

3x+2*(x-3)=16

3x+2x-6=16

5x-6=16

5x=22

x=4.4

Answer: x=4.4 and y=1.4

Question 10

Simplify:
[ (2x + 3)(x - 4) ]

Steps:

(2x+3) (x-4)

2x² - 8x + 3x - 12

2x² - 5x - 12

Answer: 2x² - 5x - 12

These questions cover key algebra topics for NCEA Level 1, including solving equations, expanding, factorizing, and simultaneous equations. Let me know if you'd like any modifications! by deepseek-chat