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standard form word problems

Mathematics

7th - 8th Grade

CCSS covered

Used 352+ times

standard form word problems
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This quiz focuses on translating real-world scenarios into linear equations in standard form and solving systems of linear equations with two variables. The content is appropriate for grades 7-8, as it requires students to identify variables, coefficients, and constants from contextual information, then construct equations of the form ax + by = c. Students must demonstrate mastery of several interconnected concepts: understanding how to assign variables to unknown quantities, recognizing that coefficients represent unit rates or prices, identifying the total as the constant term, and applying algebraic manipulation to solve for unknown variables when one equation and partial information are given. The problems require students to move fluidly between verbal descriptions and mathematical representations, distinguishing between standard form (ax + by = c) and slope-intercept form (y = mx + b), while also performing substitution and basic algebraic operations to find specific values. This quiz was created by a classroom teacher who designed it for students studying linear equations and systems in grades 7-8. The assessment serves multiple instructional purposes, functioning effectively as a formative assessment tool to gauge student understanding of equation writing and problem-solving, or as targeted practice for students who need reinforcement with translating word problems into mathematical language. Teachers can deploy this quiz as a warm-up activity to activate prior knowledge before introducing more complex systems of equations, as homework to provide independent practice with real-world applications, or as a review exercise before summative assessments. The content directly supports Common Core standards 8.EE.C.8 (solving systems of linear equations) and 7.EE.B.4 (using variables to represent quantities in real-world problems), while also reinforcing mathematical practices around modeling with mathematics and constructing viable arguments through equation setup and solution verification.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Faith was working admissions to the basketball game is $5 for students (x) and $7 for adults (y). If the faith made $500 dollars at the game on ticket sales, write an equation that represents this scenario.

7x+5y=500

y=7x+500

5x+7y=500

y=500x+7

Tags

CCSS.HSA.CED.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Dalyn is selling girl scout cookies. She sold 7 boxes of thin mints (x) and 12 boxes of tagalongs (y). If she made $82 selling cookies, write an equation that represents the scenario.

7x+12y=82

12x+7y=82

7x+82y=7

y=7x+82

Tags

CCSS.8.EE.C.8C

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Jackson sells 15 apples(x) and 20 oranges(y) and made $75. If oranges cost $1.50 per orange, how much did each apple cost?

$2.63

$2

$1.50

$3

Tags

CCSS.7.EE.B.4A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Jamari made jam and has 8oz jars (x) and 10oz jars (y). He made 72 oz of jam. Write an equation to represent this scenario.

10x+8y=72

8x+10y=72

72x+8y=10

8x+72y=10

Tags

CCSS.HSA.CED.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Madison streams netflix (x) for $10.99 a month and spotify (y) for $5.99 a month. If she spent $96.88 total and had netflix for 5 months, how many months did she have spotify?

4 months

7 months

6 months

2 months

Tags

CCSS.7.EE.B.4A

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