Use Patterns to Write and Solve Equations

Front

What is the rule for the relationship where the value of y is the value of x times 3?

Back

The equation can be written as y = 3x.

Front

How do you express that the value of y is 2 more than the value of x?

Back

The equation can be written as y = x + 2.

Front

What does the equation z = w - 18 imply about the relationship between z and w?

Back

It implies that z is 18 less than w.

Front

How do you use the equation y = 2x + 7 to find y when x = 1?

Back

Substituting x = 1 gives y = 2(1) + 7 = 9.

Front

What is the equation that represents the relationship where t is equal to 4 times d plus 5?

Back

The equation is t = 4d + 5.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.

Front

What does it mean to write a rule for a table of values?

Back

It means to find a mathematical relationship that describes how the values are connected.

Front

How can you determine if an equation is true for a given set of values?

Back

By substituting the values into the equation and checking if both sides are equal.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does the term 'slope' refer to in a linear equation?

Back

The slope refers to the steepness of the line, indicating how much y changes for a change in x.