Solving Equations – Linear, Simultaneous

Maths
high_school
10 questions
~20 mins
0 views0 downloads

About This Worksheet

A comprehensive Maths worksheet on Solving Equations – Linear, Simultaneous for high school students. Includes a variety of question types including multiple choice, short answer, and true/false questions.

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Solving Equations – Linear, Simultaneous

Subject: MathsGrade: high_school
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Solving Equations – Linear, Simultaneous

Maths
Instructions: Read each question carefully and provide your answers in the space provided. For multiple choice questions, select the best answer. For short answer questions, provide complete solutions. Indicate whether the true/false statements are correct or not.
A

Multiple Choice Questions

Select the correct answer for each question.
1.
What is the solution to the equation 2x + 3 = 11?
AA) 3
BB) 4
CC) 5
DD) 6
2.
Which of the following represents the equation of a line with a slope of 2 and a y-intercept of -3?
AA) y = 2x + 3
BB) y = -2x - 3
CC) y = 2x - 3
DD) y = -2x + 3
3.
What is the value of y in the simultaneous equations: 3x + y = 7 and x - y = 1?
AA) 2
BB) 3
CC) 4
DD) 5
4.
If 4x - 8 = 0, what is the value of x?
AA) 1
BB) 2
CC) 3
DD) 4
5.
Which of the following is the rearranged form of the equation A = lw for l?
AA) l = A/w
BB) l = A + w
CC) l = A - w
DD) l = w/A
6.
What is the solution to the quadratic equation x^2 - 5x + 6 = 0?
AA) 2 and 3
BB) 1 and 6
CC) 3 and 2
DD) 0 and 5
7.
What is the graphical representation of the equation y = 3x + 1?
AA) A vertical line
BB) A horizontal line
CC) A line with slope 3
DD) A parabola
8.
What is the first step to solve the equation 5x + 2 = 12?
AA) Subtract 2 from both sides
BB) Add 2 to both sides
CC) Multiply both sides by 5
DD) Divide both sides by 5
9.
What is the y-coordinate of the intersection point of the lines y = x + 1 and y = -x + 3?
AA) 1
BB) 2
CC) 3
DD) 4
10.
How many solutions does the equation x^2 + 4 = 0 have?
AA) 1
BB) 2
CC) 0
DD) Infinite
B

True/False Questions

Circle True or False for each statement.
1.
The equation 7x + 1 = 3x + 5 has one solution.
2.
The equation x^2 + 1 = 0 has two real solutions.
3.
The solution to the equation 5 - 2x = 3 is x = 1.
C

Short Answer Questions

Answer each question in the space provided.
1.
Solve for x: 3(x - 2) = 12.
2.
Rearrange the formula A = 1/2 bh to solve for h.
3.
Find the value of x in the equation 2x + 5 = 3x - 1.
4.
Solve the system of equations: 2x + 3y = 6 and 4x - y = 5.
5.
What is the solution to the quadratic equation x^2 - 4 = 0?

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Details

Created
4/14/2025
Updated
12/29/2025
Type
worksheet