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On Level Sub Work 2/20 - System of Equations--Substitution

On Level Sub Work 2/20 - System of Equations--Substitution

Assessment

Flashcard

Mathematics

8th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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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 the context of solving equations?

Back

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

3.

FLASHCARD QUESTION

Front

Solve for y: y = 3x + 5 when x = 2.

Back

y = 3(2) + 5 = 6 + 5 = 11.

4.

FLASHCARD QUESTION

Front

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

Back

The first step is to solve one of the equations for one variable in terms of the other variable.

5.

FLASHCARD QUESTION

Front

If y = 4x + 1, what is y when x = -1?

Back

y = 4(-1) + 1 = -4 + 1 = -3.

6.

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.

7.

FLASHCARD QUESTION

Front

Solve: y = 2x + 3 and y = -x + 1 using substitution.

Back

Set 2x + 3 = -x + 1. Solve for x: 3x = -2, x = -2/3. Substitute x back to find y: y = 2(-2/3) + 3 = 5/3. Solution: (-2/3, 5/3).

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