9CT Dino Day

Front

What is the substitution method in solving equations?

Back

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

Front

What does it mean for an equation to be in the form y = mx + b?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

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

How do you determine if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into both equations. If both equations are true, the point is a solution.

Front

What does shading above or below a line in a graph represent?

Back

Shading above a line indicates that the solution set includes all points where y is greater than or equal to the line, while shading below indicates y is less than or equal to the line.

Front

What is the standard form of a linear equation?

Back

The standard form is ax + by = c, where a, b, and c are integers, and a and b are not both zero.

Front

How do you simplify the expression 5(x + 5) + 5?

Back

Distribute the 5: 5x + 25 + 5 = 5x + 30.

Front

What is a solution set in the context of equations?

Back

A solution set is the set of all possible solutions that satisfy a given equation or system of equations.

Front

What does it mean for an equation to be consistent?

Back

A consistent equation has at least one solution, while an inconsistent equation has no solutions.

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 is zero.