Algebra Inequalities Practice Worksheet

Mathematics
7
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.

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Algebra Inequalities Practice Worksheet

Subject: MathematicsGrade: 7
Name:
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Algebra Inequalities Practice Worksheet

Mathematics | Grade 7
Instructions: Read each question carefully. For multiple-choice questions, select the best answer. For solve equations, show your work and write the solution clearly. Complete all questions to the best of your ability.
A

Inequality Identification and Solving

Practice identifying inequalities and solving for the variable.
1.
Which inequality correctly represents the statement: 'A number is less than 7'?
[2 marks]
Ax > 7
Bx < 7
Cx ≥ 7
Dx ≤ 7
2.
Which of the following inequalities shows that a number is at least 8?
[2 marks]
Ax > 8
Bx < 8
Cx ≥ 8
Dx ≤ 8
B

Graphing and Applying Inequalities

Apply your knowledge of inequalities to graph and interpret solutions.
1.
Which graph correctly represents x ≤ 4?
[2 marks]
AGraph with a closed circle at 4 and shading to the left
BGraph with an open circle at 4 and shading to the right
CGraph with a closed circle at 4 and shading to the right
DGraph with an open circle at 4 and shading to the left
2.
If x + 5 ≥ 10, what is the range of possible values for x?
[3 marks]
C

Word Problems Involving Inequalities

Solve real-world problems that involve inequalities.
1.
A student needs at least 75% to pass an exam. If the total marks are 200, what is the minimum score the student must achieve?
[3 marks]
2.
A car rental company charges a minimum of $50 plus $0.20 per mile. If the total cost is at most $90, what is the maximum number of miles driven?
[3 marks]
3.
A bakery sells cakes for $20 each. To earn at least $200 in a day, how many cakes must they sell?
[3 marks]
4.
A gym membership costs a one-time fee of $30 plus $10 per month. If a person wants to spend no more than $90, for how many months can they sign up?
[3 marks]

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Details

Created
4/18/2025
Updated
12/29/2025
Type
worksheet