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Solving Systems of Equations with Substitution

Solving Systems of Equations with Substitution

Assessment

Flashcard

Mathematics

8th - 9th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

2.

FLASHCARD QUESTION

Front

What does substitution mean in solving equations?

Back

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

3.

FLASHCARD QUESTION

Front

How do you solve the system of equations 5x - 2y = 3 and y = 2x using substitution?

Back

1. Substitute y in the first equation: 5x - 2(2x) = 3. 2. Solve for x: 5x - 4x = 3 -> x = 3. 3. Substitute x back to find y: y = 2(3) = 6. Solution: (3, 6).

4.

FLASHCARD QUESTION

Front

What is the first step in solving x = 6 and y = 2x - 3 using substitution?

Back

Since x is already isolated, substitute x = 6 into the second equation: y = 2(6) - 3.

5.

FLASHCARD QUESTION

Front

What is the solution to the system of equations x = 6 and y = 2x - 3?

Back

The solution is (6, 9).

6.

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 that satisfy both equations.

7.

FLASHCARD QUESTION

Front

How do you determine if a system of equations has no solution?

Back

If the lines represented by the equations are parallel, they will never intersect, indicating no solution.

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