Math 1 Final Review (S1)

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation to find the value of the other variable.

Front

How do you find the slope of a line given two points?

Back

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

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What does the inequality 8x > 55 represent in a real-world context?

Back

It represents the number of yoga classes (x) that can be purchased before it becomes cheaper to buy a monthly pass.

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of the line represented by the equation y = -3x - 3?

Back

The y-intercept is -3, which is the point where the line crosses the y-axis.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves; a positive slope means the line rises, while a negative slope means it falls.

Front

How can you determine if a point lies on a line given its equation?

Back

Substitute the x and y values of the point into the equation. If the equation holds true, the point lies on the line.

Front

What is the graphical representation of the equation y = -2x + 8?

Back

It is a straight line with a slope of -2 and a y-intercept of 8.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.