Solving Multi-step equations.
Authored by Andrew McCandless
Mathematics
8th - 10th Grade
CCSS covered
Used 2K+ times
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About
This quiz focuses on solving multi-step linear equations, a cornerstone topic in Algebra I that is typically taught in 8th or 9th grade. The questions systematically assess students' ability to solve equations involving combining like terms, using the distributive property, and working with variables on both sides of the equation. Students need a solid understanding of inverse operations, the properties of equality, and algebraic manipulation techniques including distribution and combining like terms. The quiz also evaluates translation skills, requiring students to convert word problems into algebraic equations, and challenges them to identify equations with one solution, no solution, or infinitely many solutions. Students must demonstrate proficiency in multi-step problem-solving sequences: simplifying expressions, isolating variables, and verifying their solutions make sense in context. Created by Andrew McCandless, a Mathematics teacher in the US who teaches grades 8 and 10. This comprehensive quiz serves multiple instructional purposes throughout a unit on linear equations. Teachers can use individual sections as warm-up problems to activate prior knowledge, assign the full quiz as homework to reinforce classroom learning, or implement it as a formative assessment to gauge student understanding before moving to more complex algebraic concepts. The varied question formats make it ideal for differentiated instruction and review sessions before unit tests. This quiz aligns with Common Core standards 8.EE.C.7, which requires students to solve linear equations in one variable, and A-REI.A.1 and A-REI.B.3, which focus on explaining solution steps and solving linear equations and inequalities in one variable, including those with coefficients represented by letters.
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29 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
2x - 3 + 4x = 27
Tags
CCSS.7.EE.B.4A
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which choice describes the step needed to isolate the variable? (Tap outside of the gray box to see the equation.)
Tags
CCSS.6.EE.B.7
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the equation:
20.) 5 = 4 - x
Tags
CCSS.6.EE.B.7
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
7(1 - y) = -3(y - 2)
Tags
CCSS.8.EE.C.7B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Translate:
Four times a number plus six IS 30.
Tags
CCSS.6.EE.B.7
CCSS.6.EE.A.2
CCSS.6.EE.B.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Laney pays $0.99 for each song she downloads from the Internet. In total, she paid $24.75 for songs from the Internet. How many songs does Laney download?
Tags
CCSS.6.NS.B.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve for x.
Tags
CCSS.7.EE.B.4A
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