U7D7 Fall Interim Review 4: Solve equations & inequalities

Front

What does the expression 'The number of blue cards is 3 more than half the number of red cards' represent mathematically?

Back

Front

What is the first step to convert the equation 2x + 4y = 8 into slope-intercept form?

Back

Subtract 2x from each side.

Front

What does the equation y = 120 - 25x represent in a real-world context?

Back

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute.

Front

What is the first step when changing from standard form to slope-intercept form?

Back

Move the x-term.

Front

Solve the inequality: 2x + 6 > 12

Back

x > 3.

Front

What is slope-intercept form?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from a linear equation in standard form?

Back

Convert the equation to slope-intercept form (y = mx + b) to identify the slope (m).

Front

What does the term 'inequality' mean in mathematics?

Back

An inequality is a mathematical statement that indicates one quantity is larger or smaller than another, using symbols like >, <, ≥, or ≤.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you graph a linear equation in slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run.