Solve Systems using Substitution

Solve Systems using Substitution

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
8.EE.C.8B, 8.EE.C.8A, HSA.REI.C.6

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a solution to a system of equations?

Back

It's the point that solves both equations at the same time.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

FLASHCARD QUESTION

Front

How do you solve the system of equations y=8x+1 and y=6x+3 using substitution?

Back

Substitute y from one equation into the other to find x, then back-substitute to find y. The solution is (1, 9).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

FLASHCARD QUESTION

Front

What is the first step when solving the system 3x + 3y = 3 and y = 3x + 5?

Back

The variable is already isolated for y, so substitute it into the first equation: 3x + 3(3x + 5) = 3.

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

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

Tags

CCSS.8.EE.C.8A

5.

FLASHCARD QUESTION

Front

How do you solve the system x = 6 and y = 2x - 3 using substitution?

Back

Substitute x = 6 into the second equation: y = 2(6) - 3, which gives y = 9. The solution is (6, 9).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

FLASHCARD QUESTION

Front

What is substitution in the context of solving systems of equations?

Back

Substitution is a method where you solve one equation for one variable and then substitute that expression into another equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

FLASHCARD QUESTION

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of lines on a coordinate plane, where the intersection point(s) represent the solution(s).

Tags

CCSS.8.EE.C.8B

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