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Substitution: Systems of Equations

Substitution: Systems of Equations

Assessment

Flashcard

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
8.EE.C.8B, 8.EE.C.8A, 6.EE.B.7

+3

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

FLASHCARD QUESTION

Front

What does substitution mean in the context of systems of equations?

Back

Substitution is a method where one equation is solved for one variable, and that expression is substituted into another equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

FLASHCARD QUESTION

Front

How do you solve for x in the equation 9x = 36?

Back

Divide both sides by 9: x = 36 / 9 = 4.

Tags

CCSS.6.EE.B.7

4.

FLASHCARD QUESTION

Front

What does it mean if a system of equations has infinite solutions?

Back

It means that the equations represent the same line, and there are countless points (x, y) that satisfy both equations.

Tags

CCSS.8.EE.C.8A

5.

FLASHCARD QUESTION

Front

What is the first step in using substitution to solve a system of equations?

Back

Solve one of the equations for one variable in terms of the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

FLASHCARD QUESTION

Front

If you have the equation y = -3x + 19, how would you substitute it into the equation 3x - 2y = -2?

Back

Replace y in the second equation: 3x - 2(-3x + 19) = -2.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

FLASHCARD QUESTION

Front

What does it mean if you get a statement like 5 = 5 when solving a system of equations?

Back

It indicates that the system has infinite solutions.

Tags

CCSS.8.EE.C.8B

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