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Multi-Step Equations - Unit 2 Flashcards

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Questions and Answers

Which of the following statements are true of solving equations? (Select all that apply)

Order of operations is often done in reverse order. (correct)
You can add or subtract any number without affecting the equality.
The addition property is usually used first. (correct)
You are using inverse operations to isolate the variable. (correct)

What is the solution to the equation 5x + 2 = 12?

X=2

What is the solution to the equation 6x - 8 = 16?

X=4

What is the solution to the equation 12x + 1 = 25?

X=2 Signup and view all the answers

What is the solution to the equation 2x - 20 = 32?

X=26 Signup and view all the answers

What is the solution to the equation 20 - 3x = 8?

X=4 Signup and view all the answers

What is the solution to the equation -13 - 3x = -10?

X=-1 Signup and view all the answers

What is the solution to the equation X/6 + 2 = 8?

X=36 Signup and view all the answers

What is the solution to the equation X/3 - 4 = 10?

X=42 Signup and view all the answers

What is the solution to the equation X/6 + 7 = 20?

X=78 Signup and view all the answers

What is the solution to the equation X/9 + 8 = 8?

X=0 Signup and view all the answers

What is the solution to the equation X/6 + 4 = 20?

X=96 Signup and view all the answers

What is the solution to the equation 2X/5 + 1 = 7?

X=15 Signup and view all the answers

What is the solution to the equation 3X/7 - 2 = 15?

X=39 2/3 Signup and view all the answers

What is the solution to the equation 5X/8 + 10 = 2?

X= -12 4/5 Signup and view all the answers

What is the solution to the equation 7X/15 - 1 = 22?

X= 49 2/7 Signup and view all the answers

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Study Notes

Solving Equations

Solving equations involves using inverse operations to isolate the variable.
The addition property of equality is typically applied first in solving equations.
Order of operations is often executed in reverse while solving equations.

Example Equations and Solutions

5x + 2 = 12 leads to x = 2
6x - 8 = 16 results in x = 4
12x + 1 = 25 gives the solution x = 2
2x - 20 = 32 simplifies to x = 26
20 - 3x = 8 resolves to x = 4
-13 - 3x = -10 leads to x = -1

Rational Equations

x/6 + 2 = 8 results in x = 36
x/3 - 4 = 10 simplifies to x = 42
x/6 + 7 = 20 gives x = 78
x/9 + 8 = 8 results in x = 0
x/6 + 4 = 20 simplifies down to x = 96

Equations Involving Fractions

2X/5 + 1 = 7 leads to x = 15
3X/7 - 2 = 15 results in x = 39 2/3
5X/8 + 10 = 2 simplifies to x = -12 4/5
7X/15 - 1 = 22 results in x = 49 2/7

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