20 questions
7th - 7th Grade
Mathematics
Tape Diagram Quiz is a free printable Grade 7 mathematics worksheet with 20 multiple-choice questions focused on translating tape diagrams into algebraic equations and solving for unknown values. Students select equations that represent diagrams using addition, multiplication, and grouped expressions, identify equations that do not match a diagram, and determine values for variables including x, y, and w. The worksheet helps students connect visual models to symbolic expressions, distinguish structures such as 5(y + 2) from 5y + 2, and use the represented relationships to solve one-variable equations. It is useful for guided practice, independent work, review, or a quick formative assessment after introducing tape diagrams. A complete answer key is included so teachers can check students’ equation-selection and solution strategies efficiently.
Worksheet settings
Font size
WorksheetsAnswer Key50 = 5 + 18 + 3x
x=9
30 = 5y + 2
y = 4
40 = 5(w - 2)
w = 10
44 = 4(3 + x)
x = 8
4x + 39 = 87
x = 12
3x + 18 = 114
x = 32
3(y + 18) = 114
y = 20
6x + 1 = 24
x = 3
28 = 4(x - 1)
x = 8
x = 4
h = 7
This worksheet helps Grade 7 students translate tape diagrams into algebraic equations and solve for unknowns such as x, y, and w. Its 20 multiple-choice questions require students to select equations that match a diagram, reject equations that do not match, and find variable values from relationships represented with sums, products, and parentheses.
First, model how each tape segment contributes to a total, then write the corresponding equation before solving it. Use the worksheet’s paired equation-and-value questions to have students explain why expressions such as 3(x + 18) and 3x + 18 represent different tape-diagram structures, and ask them to justify choices for the items that do not match.
Watch for students who add a fixed segment to a variable segment incorrectly, distribute a factor when the diagram shows a grouped quantity, or confuse 5(y + 2) with 5y + 2. Students may also choose an equation that looks similar without checking the number of equal parts, so have them compare every term and factor with the diagram before solving.
The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the equation-matching and variable-solving questions. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app.
Under the worksheet’s Advanced Settings, adjust font spacing and font size to make the tape-diagram questions and answer choices easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping its multiple-choice format.
Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.
