Solving Systems by Substitution

Solving Systems by Substitution

Assessment

Flashcard

Mathematics

7th - 8th Grade

Practice Problem

Hard

Created by

Wayground Content

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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 it mean to solve a system of equations by substitution?

Back

Solving by substitution involves solving one equation for one variable and then substituting that expression into the other equation.

3.

FLASHCARD QUESTION

Front

What is the first step in solving a system of equations by substitution?

Back

The first step is to isolate one variable in one of the equations.

4.

FLASHCARD QUESTION

Front

If you have the equations y = 2x + 3 and 4x - y = 1, how would you start solving them by substitution?

Back

You would substitute y from the first equation into the second equation: 4x - (2x + 3) = 1.

5.

FLASHCARD QUESTION

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

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, so every point on the line is a solution.

7.

FLASHCARD QUESTION

Front

Solve the system: y = -1x - 5 and 4x - 8y = 4. What is the solution?

Back

(-3, -2)

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