Solving Systems of Equations
Mathematics
KG - University
CCSS covered
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This quiz comprehensively covers solving systems of equations, a fundamental algebraic topic appropriate for 8th or 9th grade students. The questions assess multiple solution methods including graphing, substitution, and elimination, progressing from basic conceptual understanding to complex problem-solving applications. Students need a solid foundation in linear equations, coordinate graphing, and algebraic manipulation to succeed. The quiz evaluates their ability to identify solutions as intersection points, determine y-intercepts and function values, translate real-world scenarios into mathematical systems, and select the most efficient solution method for different equation types. Advanced problems include three-variable systems and word problems involving cost analysis, requiring students to set up equations from contextual information and solve systematically. This quiz was created by a classroom teacher who designed it for students studying systems of equations in middle or high school. The assessment serves multiple instructional purposes, functioning effectively as a comprehensive review before unit tests, formative assessment during instruction, or independent practice for homework assignments. Teachers can use individual sections as warm-up problems or assign the entire quiz to gauge student mastery of all solution methods. The mix of computational problems and real-world applications makes it particularly valuable for differentiating instruction and helping students connect abstract mathematical concepts to practical situations. This content aligns with Common Core standards 8.EE.8 for analyzing and solving systems of linear equations, and A-REI.6 for solving systems of linear equations algebraically and graphically.
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30 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution?
Tags
CCSS.8.EE.C.8B
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Give the solution to the system.
Tags
CCSS.8.EE.C.8B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the y-intercept in the function?
y = 5x - 4
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If x = -1, what must y equal in the function below?
x - y = 2
Tags
CCSS.HSF.IF.A.2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The ordered pair that satisfies all equations in the system.
Tags
CCSS.HSA.REI.C.7
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The first step in solving using the substitution method is __________.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What does the x represent in this situation?
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
Tags
CCSS.8.EE.C.8C
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