2nd 9 weeks Review

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total amount by the number of units. For example, if Alycia earned $20.40 in 3 hours, her unit rate is $20.40 ÷ 3 = $6.80 per hour.

Front

What does it mean if an inequality has 'all real numbers' as a solution?

Back

It means that any value for the variable satisfies the inequality, indicating that there are no restrictions on the variable.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the inequality x ≥ 3 represent on a number line?

Back

It represents all numbers greater than or equal to 3, including 3 itself, typically shown with a closed dot at 3 and a line extending to the right.

Front

What is an infinite solution in the context of equations?

Back

An infinite solution occurs when two equations represent the same line, meaning there are countless points that satisfy both equations.

Front

What is the difference between 'no solution' and 'one solution' in equations?

Back

'No solution' means there are no values that satisfy the equation, while 'one solution' means there is exactly one value that satisfies the equation.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign, similar to solving an equation, while reversing the inequality sign if multiplying or dividing by a negative number.