1st Semester Algebra Review

Front

What does the inequality -2k > 18 imply about k?

Back

k is less than -9.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Given the function f(x) = -4x - 10, how do you find x when f(x) = 10?

Back

Set -4x - 10 = 10 and solve for x, resulting in x = -5.

Front

How do you calculate the slope of a line given two points (6, -2) and (3, 7)?

Back

Slope = (y2 - y1) / (x2 - x1) = (7 - (-2)) / (3 - 6) = 9 / -3 = -3.

Front

In the context of a pizza, if the base cost is $15.00 and each topping costs an additional $0.75, what is the slope of the cost function?

Back

The slope is $0.75 per topping.

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the term 'slope' represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you isolate a variable in an equation?

Back

Perform inverse operations to both sides of the equation to get the variable alone.

Front

What is the solution to the equation 3x + 5 = 20?

Back

x = 5.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.