Writing Linear Equations from Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the value of y when x is 0. It is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write the equation for a situation where a person pays a flat fee of $10 plus $3 for each hour of service.

Back

y = 3x + 10

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Write the equation for a situation where a car rental company charges $50 per day plus a $20 insurance fee.

Back

y = 50x + 20

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If a plant starts at 10 cm and grows 2 cm each month, what is the equation for its height after x months?

Back

y = 2x + 10

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the equation for a line with a slope of 4 and a y-intercept of 2?

Back

y = 4x + 2

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write the equation for a situation where a gym charges a $30 membership fee plus $5 per class attended.

Back

y = 5x + 30

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If a person has $200 and saves $50 each month, what is the equation for the total amount after x months?

Back

y = 50x + 200

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the equation for a situation where a delivery service charges $15 plus $2 per mile?

Back

y = 2x + 15

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2