Algebra Worksheet: Inequalities and Expressions

Mathematics
General
2 questions
~4 mins
0 views0 downloads

About This Worksheet

This medium level Algebra worksheet is designed for grade 7 to develop key mathematical skills. It includes 10 engaging problems covering essential concepts in Algebra. Perfect for classroom practice, homework, or assessment preparation. This worksheet helps students build confidence and proficiency in mathematics through structured practice with clear solutions provided.

Worksheet Preview

Full preview • 2 questions

Algebra Worksheet: Inequalities and Expressions

Subject: MathematicsGrade: General
Name:
Date:

Algebra Worksheet: Inequalities and Expressions

Mathematics
Instructions: Read each question carefully and show all your work in the provided grids. For multiple-choice questions, select the best answer from the options provided. Manage your time wisely and double-check your answers.
A

Simplifying Expressions

Simplify the following algebraic expressions by combining like terms and applying the order of operations.
1.
Simplify: 3a + 5a - 2b + 4b
[1 mark]
A8a + 2b
B2a + 2b
C8a - 2b
D8a + 9b
2.
Simplify: 6(x + 2) - 4x
[1 mark]
A8
B2x + 12
C2x + 4
D12
B

Evaluating Expressions

Calculate the value of each expression for the given variable value.
1.
Evaluate: 2x + 3 when x = 4
[1 mark]
A11
B14
C8
D10
2.
Evaluate: 5a - 2b when a = 3 and b = 4
[1 mark]
A7
B11
C-1
D3
C

Solving Algebraic Equations

Solve the following equations for the specified variable, showing all your steps.
1.
Solve for x: 3x + 5 = 20
[1 mark]
Ax = 5
Bx = 15
Cx = 8
Dx = 25
2.
Solve for y: 2y - 7 = 3y + 2
[1 mark]
Ay = -9
By = 9
Cy = -3
Dy = 3
D

Multiple Choice Questions

Choose the correct answer for each of the following questions.
1.
Which of the following inequalities is true when x = 3?
[1 mark]
Ax + 2 > 4
Bx - 5 < 0
C2x ≥ 6
Dx/2 < 2
2.
What is the solution to the inequality: 4x - 1 > 11?
[1 mark]
Ax > 3
Bx < 3
Cx > 2
Dx < 2
3.
If 2x + 3 ≤ 7, what is the maximum value of x?
[1 mark]
Ax = 2
Bx = 3
Cx = 4
Dx = 1
4.
Which of the following represents the inequality for 'a' if a is greater than 5?
[1 mark]
Aa < 5
Ba ≥ 5
Ca > 5
Da ≤ 5

Quick Actions

What is Remix?

Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.

  • • Change grade level (Grade 6 → Grade 7)
  • • Swap topics (Harry Potter → Macbeth)
  • • Add more questions (10 → 15)
  • • Adjust difficulty

Details

Created
5/1/2025
Updated
12/30/2025
Type
worksheet