6.AF.3 Solving Equations ILEARN checkpoint 2 Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

How do you represent a situation where a total amount is shared among a number of people?

Back

You can represent this situation with the equation: Total Amount ÷ Number of People = Amount per Person.

Front

What does the variable 'f' represent in the equation 3 1/3 ÷ f = 2/3?

Back

In this equation, 'f' represents the number of friends sharing the ice cream.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate it on one side of the equation using inverse operations.

Front

What is the first step to solve the equation 5/8x = 40?

Back

Multiply both sides of the equation by the reciprocal of 5/8, which is 8/5.

Front

What does it mean to model a situation with an equation?

Back

Modeling a situation with an equation means creating a mathematical representation that describes the relationships between quantities in that situation.

Front

What is the solution to the equation 3 + x = 10/3?

Back

The solution is x = 10/3 - 3, which simplifies to x = 1/3.

Front

How can you express the relationship between a brother's height and his sister's height if the sister is 3 times as tall?

Back

You can express this relationship with the equation: Sister's Height = 3 × Brother's Height.

Front

What is the total number of pages read if a student reads x pages on Monday and 212 pages on Tuesday, and the book has 423 pages?

Back

The total number of pages read is represented by the equation: x + 212 = 423.

Front

What is the process to check if x = 1/3 is a solution to the equation 3 - x = 2?

Back

Substitute x = 1/3 into the equation: 3 - (1/3) = 2, which simplifies to 2.67 ≠ 2, so it is not a solution.