Rearranging Equations and Functions

Rearranging Equations and Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This lesson covers solving systems of equations using substitution. It begins with an introduction to the method, followed by detailed steps to rearrange equations and solve for variables X and Y. The lesson includes two example problems, demonstrating the substitution process and checking solutions. The video concludes with practice instructions.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of lesson number 59?

Solving quadratic equations

Factoring polynomials

Rearranging before substitution

Graphing linear equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is substitution used in solving systems of equations?

To eliminate variables

To simplify the equations

To find the values of x and y that make both equations true

To graph the equations

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in rearranging the equation X - 2y = -1?

Subtract 2y from both sides

Divide both sides by 2

Add 2y to both sides

Multiply both sides by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After rearranging the equation X - 2y = -1, what is X equal to?

X = -1 + 2y

X = 1 + 2y

X = -1 - 2y

X = 2y - 1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after substituting X = -1 + 2y into the second equation?

Solve for y

Solve for x

Rearrange the second equation

Check the solution

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying the distributive property to 2(-1 + 2y)?

2 + 4y

-2 - 4y

2 - 4y

-2 + 4y

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of y when solving the first system of equations?

y = 8

y = 4

y = 6

y = 2

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