Equivalent Equations

Front

What is an equivalent equation?

Back

An equivalent equation is an equation that has the same solution as another equation, meaning both sides of the equation are equal when simplified.

Front

What does it mean to balance an equation?

Back

Balancing an equation means ensuring that both sides of the equation have the same value by performing the same operations on both sides.

Front

How do you represent a total cost with a variable?

Back

You can represent total cost using a variable by creating an expression that includes the cost per item multiplied by the number of items plus any additional costs.

Front

What is the formula to find the total number of students in multiple classes?

Back

The total number of students can be found using the formula: Total Students = Number of Classes × Students per Class.

Front

What is the purpose of using variables in equations?

Back

Variables are used in equations to represent unknown values that can change, allowing us to solve for those values.

Front

How do you set up an equation from a word problem?

Back

To set up an equation from a word problem, identify the quantities involved, define variables for unknowns, and translate the relationships into mathematical expressions.

Front

What does the equation 5h = 35 represent?

Back

The equation 5h = 35 represents the total hours worked (35) divided equally over 5 days, where h is the number of hours worked each day.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

How can you check if an equation is balanced?

Back

You can check if an equation is balanced by simplifying both sides and verifying that they yield the same result.

Front

What does the expression 10.95x + 12.57 = 89.22 represent?

Back

This expression represents the total cost of pizzas (10.95 per pizza) plus the cost of sodas (12.57) equaling the total amount spent (89.22).