Module 3 (8th) Write & Solve Equations

Front

What is the first step to solve the equation 2x + 5 = 3x + 2?

Back

Subtract 2x from both sides to isolate the variable.

Front

What does it mean when an equation has NO solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

In the equation 8(3x + 1.50) = 16(x + 5.75), what does 'x' represent?

Back

'x' represents the cost of admission to the water park.

Front

How do you determine if two expressions are equivalent in an equation?

Back

You can simplify both sides and see if they yield the same result.

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width).

Front

If the width of a rug is 4 1/4 inches longer than twice its length, how can you express this relationship algebraically?

Back

Width = 2(length) + 4 1/4.

Front

What is the significance of constants in an equation?

Back

Constants are fixed values that do not change and can affect the solution of the equation.

Front

What does it mean to simplify an equation?

Back

To combine like terms and reduce the equation to its simplest form.

Front

How can you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the relationship between the coefficients of variables in an equation with no solution?

Back

The coefficients are the same, but the constants are different.