What is the principle of equality in solving equations?

The principle of equality states that if you perform the same operation on both sides of an equation, the two sides remain equal.

What is the solution to the equation $$3x = 9$$ in terms of division?

Divide both sides by 3 to get x = 3.

What is the solution to the equation $$x - 3 = 10$$ in terms of addition?

Add 3 to both sides to get x = 13.

What is the solution to the equation $$x + 5 = 12$$ in terms of subtraction?

Subtract 5 from both sides to get x = 7.

What is the importance of checking your solution in an equation?

Checking your solution ensures that the value you found satisfies the original equation.

What is a linear equation?

A linear equation is an equation that makes a straight line when graphed, typically in the form $$y = mx + b$$ .

What does it mean to solve an equation?

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

12/4 Warm Up 2/5 Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the solution to the equation $\frac{1}{2}x = 4$ ?

Back

x = 8

2.

FLASHCARD QUESTION

Front

What is the solution to the equation $-2x = 6$ ?

Back

x = -3

3.

FLASHCARD QUESTION

Front

What is the solution to the equation $3x = 9$ ?

Back

x = 3

4.

FLASHCARD QUESTION

Front

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

Back

x = 7

5.

FLASHCARD QUESTION

Front

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

Back

x = 13

6.

FLASHCARD QUESTION

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

7.

FLASHCARD QUESTION

Front

What is the first step to solve the equation $x + 5 = 12$ ?

Back

Subtract 5 from both sides to isolate x.

9.

FLASHCARD QUESTION

Front

How do you solve the equation $-2x = 6$ for x?

Back

Divide both sides by -2 to isolate x.

10.

FLASHCARD QUESTION

Front

What is the solution to the equation $\frac{1}{2}x = 4$ in terms of multiplication?

Back

Multiply both sides by 2 to get x = 8.

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