Writing Equations

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width.

Front

How do you set up an equation to find an unknown width when given the perimeter and height of a rectangle?

Back

You can use the equation 2w + 2h = P, where w is the width, h is the height, and P is the perimeter.

Front

What does the variable 'x' typically represent in algebraic equations?

Back

In algebra, 'x' is often used as a variable to represent an unknown quantity that we want to solve for.

Front

How can you express a total cost that includes a fixed charge and a variable charge per item?

Back

The total cost can be expressed as C = fixed charge + (variable charge per item * number of items), or C = F + Vn.

Front

What is the equation to find the weight of multiple identical items given their total weight and the weight of one item?

Back

If the total weight is W and the weight of one item is w, the equation is W = nx + w, where n is the number of items.

Front

How do you translate a word problem into an algebraic equation?

Back

Identify the quantities involved, assign variables, and express relationships using mathematical operations based on the problem's wording.

Front

What does 'eight less than' indicate in an equation?

Back

'Eight less than' indicates subtraction, so if x is the number, it is expressed as x - 8.

Front

What does 'three times a number' mean in algebra?

Back

'Three times a number' means to multiply the number by 3, expressed as 3x, where x is the number.

Front

How do you represent a relationship where one quantity is equal to another plus a constant?

Back

This can be expressed as x = y + constant, where x and y are the quantities.

Front

What is the equation for a situation where one quantity is less than another?

Back

This can be expressed as x < y, where x is the lesser quantity and y is the greater quantity.