7th grade First Semester Review

Front

What is percent increase?

Back

Percent increase is a measure of how much a quantity has grown relative to its original amount, expressed as a percentage. It is calculated using the formula: ((new value - original value) / original value) * 100.

Front

How do you calculate the percent increase of a puppy's weight from 40 to 50 pounds?

Back

Percent increase = ((50 - 40) / 40) * 100 = 25%.

Front

What is the solution to the equation 3x - 4 = 11?

Back

x = 5.

Front

How do you isolate x in the equation 3x - 4 = 11?

Back

Add 4 to both sides to get 3x = 15, then divide by 3 to find x = 5.

Front

What is the formula for finding the length of a missing side in a triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

If one side of a triangle is 7.5, what could be the other sides if the hypotenuse is 10?

Back

Using the Pythagorean theorem, the other side could be approximately 9.

Front

How do you find the cost of multiple items if you know the cost of a certain number of items?

Back

Use unit rate: If 3 bags cost $4.50, then 1 bag costs $4.50 / 3 = $1.50. For 5 bags, multiply $1.50 by 5 to get $7.50.

Front

What is the unit rate?

Back

The unit rate is the cost per one unit of a product or service.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If two angles are supplementary and one angle is 45 degrees, what is the other angle?

Back

The other angle is 135 degrees, since 180 - 45 = 135.