Equivalent Expressions from Situations

Front

What is an equivalent expression?

Back

An equivalent expression is a mathematical expression that has the same value as another expression, even though it may look different.

Front

How do you find the perimeter of a shape?

Back

To find the perimeter, add the lengths of all the sides of the shape.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width (Area = length × width).

Front

If a pencil package contains 'p' pencils, how many pencils are in two packages?

Back

2p pencils.

Front

What does the expression 4p + 2(p + 4) represent?

Back

It represents the total number of pencils in 4 smaller packages and 2 larger packages, each containing p + 4 pencils.

Front

How do you simplify the expression 4p + 2(p + 4)?

Back

Distribute the 2: 4p + 2p + 8 = 6p + 8.

Front

What is the total cost if an item costs $5.79 per pound and you buy 2.25 pounds?

Back

Total cost = 5.79 × 2.25 = $12.99.

Front

What is the simplified expression for the perimeter of a rectangle with length 10x and width 5x?

Back

Perimeter = 2(length + width) = 2(10x + 5x) = 30x.

Front

How do you calculate the area of a shape with a length of 6x and a width of 3y?

Back

Area = length × width = 6x × 3y = 18xy.

Front

What is the value of the expression 20x - 8 when x = 2?

Back

20(2) - 8 = 40 - 8 = 32.