How do you solve for x in the equation $$3x - 6 = 6x + 12$$ ?

To solve for x, rearrange the equation: $$3x - 6 - 6x = 12$$ , which simplifies to $$-3x = 18$$ , giving $$x = -6$$ .

What does it mean for an equation to have infinite solutions?

An equation has infinite solutions when both sides are identical, such as $$2x + 3 = 2x + 3$$ .

What is the distributive property?

The distributive property states that $$a(b + c) = ab + ac$$ , allowing you to multiply a single term by two or more terms inside a parenthesis.

What is a linear equation?

A linear equation is an equation that makes a straight line when graphed. It can be written in the form $$y = mx + b$$ , where m is the slope and b is the y-intercept.

What is the purpose of combining like terms in an equation?

Combining like terms simplifies an equation, making it easier to solve by reducing the number of terms.

What is the difference between an expression and an equation?

An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal.

What is the solution to the equation $$40x + 400 = 800$$ ?

To solve for x, subtract 400 from both sides to get $$40x = 400$$ , then divide by 40 to find $$x = 10$$ .

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

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

Isolating a variable means rearranging the equation so that the variable is on one side by itself, making it easier to solve.

Semester 1 Final Math 8 Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two parallel lines cut by a transversal. They are equal in measure.

2.

FLASHCARD QUESTION

Front

What is the equation to represent Garrison's situation if he has $400 left?

Back

3.

FLASHCARD QUESTION

Front

What does it mean if an equation has no solution?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

6.

FLASHCARD QUESTION

Front

What is the definition of alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two parallel lines and on opposite sides of a transversal. They are equal in measure.

7.

FLASHCARD QUESTION

Front

What is the formula for calculating the slope of a line?

Back

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