Unit Assessment review

Front

What is the formula for the difference of squares?

Back

The formula for the difference of squares is a² - b² = (a - b)(a + b).

Front

How do you evaluate an expression with given values for variables?

Back

To evaluate an expression, substitute the given values for the variables and perform the arithmetic operations.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations.

Front

What is the simplified form of the ratio 35:14?

Back

The simplified form of the ratio 35:14 is 5:2.

Front

How do you find the total number of items based on a ratio?

Back

To find the total number of items based on a ratio, set up a proportion using the known quantities and solve for the unknown.

Front

If the ratio of pages read to pages left is 7:3, how do you find the total number of pages?

Back

Let the total pages be represented as 7x + 3x = 10x. If the total is known, solve for x to find the number of pages read and left.

Front

What is the first step in solving a word problem involving ratios?

Back

The first step is to identify the quantities involved and express them in terms of a common variable.

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its lowest terms by dividing both sides by their greatest common divisor.