Writing Equations from Word Problems

Front

What is the equation to represent the total value of nickels (x) and dimes (y) if you have $6.40?

Back

0.05x + 0.10y = 6.40

Front

If you have 53 dimes, how do you find the number of nickels?

Back

Substitute y = 53 into the equation 0.05x + 0.10(53) = 6.40 and solve for x.

Front

What does the equation y = -25x + 500 represent in a word problem?

Back

It represents the amount of money Ja'Kaia has after spending $25 per week from her initial $500.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

How do you convert the equation 2x - 5y = -20 to slope-intercept form?

Back

Solve for y: y = (2/5)x + 4.

Front

What does the variable 'x' typically represent in a word problem involving time?

Back

The number of weeks, days, or other time intervals.

Front

In the equation 4x + 5y = 10.80, what do x and y represent?

Back

x represents the price of a taco, and y represents the price of an enchilada.

Front

How do you determine the slope from the equation y = mx + b?

Back

The slope is represented by 'm' in the equation.

Front

What is the first step in writing an equation from a word problem?

Back

Identify the variables and what they represent.

Front

What is the meaning of the term 'constant' in an equation?

Back

A constant is a fixed value that does not change.