Algebra Review

Front

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Back

y = 4x + 2

Front

Find the slope of the line represented by the equation 2y + 4x = 8.

Back

-2

Front

What does the ordered pair (225, 176.25) represent in the context of Fernando's earnings?

Back

In a week during which Fernando sells $225 worth of clothing, he earns a total of $176.25.

Front

What does the system of inequalities 20x + 32y ≥ 6,400 and 1.5x + 2.5y ≤ 600 represent?

Back

It represents the constraints on the number of bottles of water (x) and lemonade (y) Laura can buy.

Front

What is the error in Wyatt's simplification of the expression?

Back

Wyatt divided the exponents in the numerator by 2 instead of by 3.

Front

Define slope in the context of a linear equation.

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you determine if a point is a solution to a linear equation?

Back

Substitute the x and y values of the point into the equation; if the equation holds true, the point is a solution.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables that define a region on a graph.

Front

Explain the significance of the ordered pair in the context of a real-world problem.

Back

An ordered pair represents a specific solution to the problem, indicating quantities or values that satisfy the given conditions.