Multi-Step Equations

Multi-Step Equations

Assessment

Flashcard

Mathematics

7th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

2.

FLASHCARD QUESTION

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation. This often occurs when simplifying leads to a false statement, such as 0 = 5.

3.

FLASHCARD QUESTION

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions when any value for the variable satisfies the equation. This typically happens when both sides of the equation are equivalent after simplification.

4.

FLASHCARD QUESTION

Front

How do you solve the equation 8v - 4(v + 8) = 8?

Back

1. Distribute: 8v - 4v - 32 = 8 2. Combine like terms: 4v - 32 = 8 3. Add 32 to both sides: 4v = 40 4. Divide by 4: v = 10.

5.

FLASHCARD QUESTION

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

6.

FLASHCARD QUESTION

Front

How do you determine if an equation has no solution or infinitely many solutions?

Back

To determine this, simplify the equation. If you end up with a false statement (like 0 = 5), it has no solution. If you end up with a true statement (like 0 = 0), it has infinitely many solutions.

7.

FLASHCARD QUESTION

Front

Solve the equation 3x + 15 = 3(x + 5).

Back

1. Distribute: 3x + 15 = 3x + 15 2. Subtract 3x from both sides: 15 = 15. This is a true statement, so there are infinitely many solutions.

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