Flashcard: T2Wk4

Front

What is the first step to isolate the variable in the equation y + 45 = 78?

Back

Subtract 45 from each side.

Front

What equation represents the relationship between the cost of a monthly gym membership and the number of months?

Back

T = 30m + 15, where T is the total cost and m is the number of months.

Front

What is the first step to solve the equation \(\frac{x}{3} + 8 = 13\)?

Back

Subtract 8 from both sides.

Front

How do you determine the equation of a line given a table of values?

Back

Identify the slope and y-intercept from the table data.

Front

What is the equation of the line that has a slope of -1.7 and a y-intercept of 1.7?

Back

y = -1.7x + 1.7.

Front

What is the equation of the line with a slope of 0.9 and a y-intercept of 4.2?

Back

y = 0.9x + 4.2.

Front

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

Back

Use the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\).

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the purpose of rounding in mathematical equations?

Back

To simplify numbers to a specified degree of accuracy.

Front

What is the general form of a linear equation?

Back

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