WorksheetsEvaluate Algebraic Expressions
Total questions: 10
Name
Class
Date
Answer KeyEvaluate Algebraic Expressions
Total questions: 10
1.
a) 22
2.
d) 0
3.
b) 27
4.
a) 40
5.
a) 22
6.
d) 12
7.
d) 56
8.
a) 109
9.
a) $74.50
10.
a) $61.50
Evaluate Algebraic Expressions
10 questions
6th - 6th Grade
Mathematics
Evaluate Algebraic Expressions is a Grade 6 mathematics worksheet that builds fluency with substituting given values for variables and simplifying expressions accurately. Its 10 multiple-choice questions include expressions with parentheses, multiple variables, exponents, addition, subtraction, multiplication, and numerical coefficients. Students must apply the order of operations after substitution to select the correct value. The worksheet also connects algebraic expressions to everyday situations. Two questions ask students to use expressions to calculate earnings from hours worked and deliveries completed, then determine the cost of multiple CDs with a per-item price and a shipping charge. This free printable worksheet is useful for guided practice, independent work, review, or a quick check of understanding. It includes a complete answer key so teachers can verify student reasoning and address calculation errors efficiently.
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FAQs
What does the Evaluate Algebraic Expressions worksheet cover?
This Grade 6 worksheet uses 10 multiple-choice questions to practise substituting given values for variables and evaluating algebraic expressions. Students work with parentheses, multiple variables, exponents, and numerical coefficients, then apply the order of operations to find each value. The final two items extend the skill to earnings and shipping-cost expressions.
How can I use this worksheet to teach students to evaluate algebraic expressions?
Model one item by replacing each variable with its given value, placing substituted values in parentheses, and simplifying in the correct order. Then guide students through an expression with an exponent and a two-variable expression before assigning the remaining multiple-choice questions independently. Use the earnings and CD-cost problems to discuss how an expression represents a fixed charge plus a variable cost.
What mistakes should I watch for when students complete this worksheet?
Watch for students substituting a value for only one variable, treating a coefficient such as 6a as 6 plus a, or ignoring parentheses after substitution. Students may also calculate a squared term as twice the value, reverse the order of operations, or omit the fixed shipping charge in the CD-cost question. In the earnings problem, check that students multiply both the hourly rate and delivery rate by their respective quantities.
How do I assign and grade this algebraic expressions worksheet?
Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 10 multiple-choice questions. For printable submissions, you can scan student work with the Wayground for Teachers app to support grading. The PDF option also gives teachers a paper-based practice choice when reducing screen time is useful.
How does this worksheet connect algebraic expressions to real-world problem solving?
The worksheet moves beyond standalone calculations by asking students to evaluate an earnings expression using hours and deliveries, then evaluate a CD-order expression using a per-item price and a shipping fee. These items help students connect substitution to interpreting rates, quantities, and fixed costs in a practical context. They also provide a quick check that students can apply the same evaluation process to word problems.
Where can I find more worksheets like this on Wayground?
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.