Mid-Topic (2) Retake (Savvas)
Authored by Talina Shannon-Parker
Mathematics
8th Grade
CCSS covered
Used 35+ times
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About
This quiz focuses on solving linear equations in one variable, specifically targeting the key concepts of identifying equations with unique solutions, infinitely many solutions, or no solutions. The content is appropriate for 8th grade mathematics, as it requires students to manipulate algebraic expressions with fractions, decimals, and negative numbers while applying the distributive property and combining like terms. Students need a solid understanding of inverse operations, equivalent equations, and the ability to recognize when simplified equations result in true statements (infinitely many solutions), false statements (no solutions), or valid variable assignments (unique solutions). The word problems demand translating real-world scenarios into algebraic equations and interpreting solutions within context, requiring students to connect abstract mathematical operations with practical applications involving time, distance, and financial situations. Created by Talina Shannon-Parker, a Mathematics teacher in the US who teaches grade 8. This quiz serves as an excellent formative assessment tool for mid-unit evaluation, allowing teachers to identify students who need additional support with equation-solving strategies before moving to more complex algebraic concepts. The variety of question formats—from conceptual understanding to computational practice to real-world applications—makes it versatile for use as a warm-up review, homework assignment, or targeted intervention for students who need to retake assessments. Teachers can use individual questions for quick checks during instruction or assign the complete quiz for comprehensive review of linear equation solving techniques. This assessment aligns with Common Core Standard 8.EE.C.7, which requires students to solve linear equations in one variable and give examples of equations with one solution, infinitely many solutions, or no solutions.
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Student View
10 questions
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1.
MULTIPLE SELECT QUESTION
1 min • 1 pt
How can you tell when an equation with one variable has infinitely many solutions or no solution? Check all that apply
An equation has infinitely many solutions when both sides of the equation are identical or always equal
An equation has infinitely many solutions when both sides of the equation balance out
An equation has no solution when you simplify and both sides of the equation are never equal to one another
An equation has no solution when you’re left with the variable on one side of the equal sign and a number on the other
Tags
CCSS.8.EE.C.7A
2.
FILL IN THE BLANK QUESTION
3 mins • 1 pt
Tags
CCSS.7.EE.B.4A
3.
FILL IN THE BLANK QUESTION
5 mins • 1 pt
Jacklyn has $120 saved and earns $40 allowance each month. Pedro has $180 saved and earns $20 a month in allowance. If they both save their entire allowances, how long will it take for Jacklyn and Pedro to have saved the same amount of money?
Tags
CCSS.8.EE.C.8C
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which equation has infinitely many solutions?
4x - 2x = 20
12 + 4x = 6x + 10 - 2x
5x + 14 - 4x = 23 + x - 9
x + 9 - 0.8x = 5.2x + 17 - 8
Tags
CCSS.8.EE.C.7A
5.
FILL IN THE BLANK QUESTION
3 mins • 1 pt
Solve the equation -24 + 12d = 2(d - 3) + 22
Tags
CCSS.6.EE.B.5
CCSS.6.EE.B.6
CCSS.6.EE.B.7
CCSS.6.EE.A.2
6.
FILL IN THE BLANK QUESTION
2 mins • 1 pt
Hilda adds 5 to a number, then multiplies the sum by -2. The result is 6. Write an equation to find the number, x.
Tags
CCSS.HSA.CED.A.3
7.
FILL IN THE BLANK QUESTION
2 mins • 1 pt
Solve the equation -2(x + 5) = 6
Tags
CCSS.7.EE.B.4A
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