Solve Systems by Substitution

Solve Systems by Substitution

Assessment

Flashcard

Mathematics

9th - 12th 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 set of two or more equations with the same variables that are solved together.

2.

FLASHCARD QUESTION

Front

What does it mean to solve a system of equations by substitution?

Back

It involves solving one equation for one variable and 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

Isolate one variable in one of the equations.

4.

FLASHCARD QUESTION

Front

Given the equations 4x - 3y = 18 and y = -2, how do you solve for x?

Back

Substitute y = -2 into the first equation: 4x - 3(-2) = 18.

5.

FLASHCARD QUESTION

Front

What is the solution to the system of equations y = -2 and 4x - 3y = 18?

Back

The solution is (3, -2).

6.

FLASHCARD QUESTION

Front

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

Back

It indicates that the equations represent parallel lines that never intersect.

7.

FLASHCARD QUESTION

Front

How can you tell if two equations have the same slope?

Back

If the coefficients of x and y in both equations are proportional, they have the same slope.

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