graphing and substitution systems

graphing and substitution systems

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
8.EE.C.8B, 8.EE.C.8A, 6.EE.C.9

+3

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one of the equations for one variable and then substituting that expression into the other equation to find the values of both variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

FLASHCARD QUESTION

Front

How do you solve the equation -4x + 4y = 8 for y?

Back

To solve for y, rearrange the equation: 4y = 4x + 8, then divide by 4: y = x + 2.

Tags

CCSS.6.EE.C.9

3.

FLASHCARD QUESTION

Front

What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

The solution is (1, 3), found by setting the two equations equal to each other and solving for x.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

FLASHCARD QUESTION

Front

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

Back

A system has no solution if the lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

5.

FLASHCARD QUESTION

Front

How can you determine if a system of equations has one solution, no solution, or infinitely many solutions?

Back

By analyzing the slopes and y-intercepts of the lines: if they have the same slope and different intercepts, there is no solution; if they have the same slope and the same intercept, there are infinitely many solutions; if they have different slopes, there is one solution.

Tags

CCSS.8.EE.C.8B

6.

FLASHCARD QUESTION

Front

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

Back

The first step is to 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

7.

FLASHCARD QUESTION

Front

How do you graph the solution of a system of equations?

Back

To graph the solution, plot the lines represented by the equations on the same coordinate plane and identify the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

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