IB Class 10 Mathematics Group 5 Algebra by Pavan | Practice Test to Test Your Knowledge
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  2. Practice Tests
  3. IB Class 10 Mathematics Group 5 Algebra
IB Class 10 Mathematics Group 5 Algebra

IB Class 10 Mathematics Group 5 Algebra

Comprehensive mock test on mathematical reasoning, problem-solving, and statistical analysis. Features both standard and extended level concepts with real-world mathematical applications.

2025-07-21
Pavan Pavan
IB Class 10 Mathematics Algebra Grade 10

Duration

30 min

Questions

30

Marking

Negative

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Questions Preview

Which of the following is a linear equation in one variable?

A
3x + 5 = 12
B
x^2 + 3 = 0
C
2x + y = 10
D
y = x^2 + 2x

What is the general form of a linear equation in two variables?

A
ax + by = c
B
x^2 + y^2 = c
C
y = mx + c
D
a(x + y) = c

What is the first step in solving the equation 3x - 7 = 11?

A
Add 7 to both sides
B
Divide by 3
C
Subtract 11 from both sides
D
Multiply by 3

Solve the equation 4x - 3 = 9.

A
x = 3
B
x = 2
C
x = 1
D
x = 6

Which method is used to solve systems of linear equations?

A
Graphical method
B
Multiplying both sides
C
Substitution method
D
All of the above

If x + y = 10 and x - y = 4, what is the solution to the system of equations?

A
(7, 3)
B
(6, 4)
C
(5, 5)
D
(4, 6)

What is the slope of the line y = 2x + 3?

A
3
B
2
C
1
D
0

In the equation y = mx + c, what does 'c' represent?

A
The slope of the line
B
The x-intercept
C
The y-intercept
D
The point of intersection

If the equation of a line is y = 4x - 7, what is the slope of the line?

A
4
B
-7
C
0
D
-4

The graph of a linear equation is a:

A
Curve
B
Circle
C
Straight line
D
Point

What is the solution to the equation 5x + 2 = 17?

A
x = 3
B
x = 4
C
x = 2
D
x = 5

What is the value of 'x' in the equation 2x - 6 = 10?

A
x = 8
B
x = 6
C
x = 7
D
x = 3

What is the general form of the equation of a line?

A
ax + by = c
B
y = mx + b
C
y = a(x - h) + k
D
y = x + c

The equation 3x - 5 = 0 represents a linear equation in:

A
One variable
B
Two variables
C
Three variables
D
Four variables

What is the solution to the system of equations x + y = 12 and x - y = 4?

A
(8, 4)
B
(6, 6)
C
(7, 5)
D
(10, 2)

What is the slope of the line represented by the equation y = -3x + 2?

A
-3
B
3
C
0
D
2

In the equation y = 5x - 4, what does -4 represent?

A
Slope of the line
B
Y-intercept
C
X-intercept
D
The variable

What is the equation of a line with a slope of 2 and a y-intercept of -3?

A
y = 2x - 3
B
y = 2x + 3
C
y = -2x + 3
D
y = -2x - 3

If x = 4, what is the value of y in the equation 2x + y = 12?

A
4
B
6
C
8
D
10

The equation x - y = 3 has the solution x = 5. What is the value of y?

A
y = 2
B
y = -2
C
y = 8
D
y = 3

Which method can be used to solve the system of equations 3x + y = 9 and x - y = 1?

A
Elimination method
B
Substitution method
C
Graphical method
D
All of the above

If 4x + 3y = 12 and 2x - y = 5, which of the following is the solution for x and y?

A
(x = 3, y = 2)
B
(x = 2, y = 3)
C
(x = 1, y = 4)
D
(x = 4, y = 1)

Which of the following represents a linear equation?

A
y = 2x + 3
B
y = x^2 + 3
C
y = x^3 + 3
D
y = 2x^2 + 3

What is the y-intercept of the equation 4x - 2y = 8?

A
4
B
2
C
0
D
-4

The equation of a line is y = 2x + 5. What is the slope of this line?

A
2
B
5
C
1
D
-2

What is the slope of the line represented by the equation 5x + 2y = 10?

A
-5/2
B
2/5
C
5/2
D
-2/5

In a system of linear equations, the point of intersection of the lines represents:

A
The solution to the system
B
The slope of the line
C
The x-intercept
D
The y-intercept

Which of the following is the correct solution to the equation 7x - 5 = 16?

A
x = 3
B
x = 4
C
x = 2
D
x = 5

Which of the following represents the equation of a line with slope 1 and y-intercept 2?

A
y = x + 2
B
y = -x + 2
C
y = 2x + 1
D
y = x - 2

What is the solution to the equation 8x + 4 = 20?

A
x = 2
B
x = 3
C
x = 1
D
x = 4