Topic 4 Practice Test

Front

What is an equation?

Back

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

Front

What does the variable 'x' represent in equations?

Back

In equations, 'x' is often used as a variable to represent an unknown value that we need to solve for.

Front

What is the purpose of using inequalities in mathematics?

Back

Inequalities are used to show the relationship between two expressions that are not necessarily equal, indicating ranges of possible values.

Front

How do you write an inequality for a height restriction?

Back

If a height restriction is 48 inches, the inequality for those who cannot ride would be written as x < 48.

Front

What does the equation 5x = 26 represent in a real-world scenario?

Back

This equation represents a situation where 5 packs of cards cost a total of $26, and 'x' is the cost of each pack.

Front

How do you determine if a budget is sufficient for a group activity?

Back

To determine if a budget is sufficient, calculate the total cost (cost per student multiplied by the number of students) and compare it to the budget.

Front

Back

Front

What does the inequality 12.75x ≤ 300 represent?

Back

This inequality represents the maximum number of students (x) that can attend a trip without exceeding a budget of $300, where each ticket costs $12.75.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.

Front

How can you solve for a variable in an equation?

Back

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