Multiple representations 7.4A, 7.7A

Front

What is the equation to calculate the total cost when buying multiple items of different prices?

Back

y = (price of new item * quantity of new items) + (price of used item * quantity of used items)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If a store sells new video games for $55 each and used video games for $12 each, what is the total cost for 3 new games and x used games?

Back

y = 12x + 165

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the equation y = mx + b represent in a linear function?

Back

m is the slope (rate of change), and b is the y-intercept (starting value).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine the slope of a line from its equation?

Back

The slope is the coefficient of x in the equation y = mx + b.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What does the equation y = x + 2 represent graphically?

Back

A straight line with a slope of 1 that crosses the y-axis at 2.

Front

How can you find the total amount in a savings account after a certain number of months if you start with a certain amount and save a fixed amount each month?

Back

Use the equation y = initial amount + (monthly savings * number of months).

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the meaning of the slope in a real-world context?

Back

The slope represents the rate of change or how much one quantity changes in relation to another.

Tags

CCSS.8.EE.B.5

Front

If Benji sells paintings for $7.50 each and spent $3 on supplies, how do you calculate his profit?

Back

Profit = (selling price per painting * number of paintings) - cost of supplies.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the equation for a line that has a slope of -1 and a y-intercept of 2?

Back

y = -x + 2.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6