Solve Systems of Equations using Substitution

Solve Systems of Equations using Substitution

Assessment

Flashcard

Mathematics

8th - 10th 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 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 for y in the equation y = -1x - 5?

Back

To solve for y, simply substitute any value of x into the equation. For example, if x = 0, then y = -5.

4.

FLASHCARD QUESTION

Front

What is the first step in solving the system: y = -1x - 5 and 4x - 8y = 4?

Back

The first step is to substitute the expression for y from the first equation into the second equation.

5.

FLASHCARD QUESTION

Front

What is the solution to the system of equations: y = 7x + 9 and 2y + 2x = -14?

Back

The solution is (-2, -5).

6.

FLASHCARD QUESTION

Front

How do you check if a solution is correct for a system of equations?

Back

To check a solution, substitute the values of the solution into both equations. If both equations are true, the solution is correct.

7.

FLASHCARD QUESTION

Front

What does it mean if two lines intersect at a point?

Back

If two lines intersect at a point, it means that there is a unique solution to the system of equations represented by those lines.

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