Graphing Equations

Kiran is spending $12 on games and rides at a carnival, where a game costs $0.25 and a ride costs $1.
Which equation represents the relationship between the dollar amount Kiran is spending and the number of games, x, and the number of rides, y, he could do?

•  $0.25x+y=12$  

•  $x+0.25y=12$  

•  $12x=0.25y$  

•  $0.25+1=12$  

Tags

CCSS.6.EE.C.9

Kiran is spending $12 on games and rides at a carnival, where a game costs $0.25 and a ride costs $1.

Which graph represents the relationship between the quantities in this situation?

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Tags

CCSS.8.EE.B.5

A little league baseball team is ordering hats.

The graph shows the relationship between the total cost, in dollars, and the number of hats ordered.

What does the slope of the graph tell

us in this situation?

• It tells us that there is a fixed cost of approximately $35 for ordering hats.

• It tells us the amount that the total cost increases for each additional hat ordered.

• It tell us that when 9 hats are ordered, the total cost is approximately $160.

• It tells us that when the number of hats ordered increases by 10, the total cost increases by approximately $175.

Tags

CCSS.HSF.LE.B.5

A group of hikers is progressing

steadily along an uphill trail. The graph

shows their elevation (or height above

sea level), in feet, at each distance from

the start of the trail, in miles.

What is the slope of the graph?

Tags

CCSS.8.EE.B.5

 $PV=nRT$ 
In physics, this equation is called the ideal gas law. It is used to approximate the behavior of many gases under different conditions. P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas.
Which equation is correctly solved for T?

•  $\frac{PV}{R}=nT$  

•  $\frac{PV}{nR}=T$  

•  $T=PV-nR$  

•  $PVnR=T$  

Tags

CCSS.HSA.CED.A.4

 Consider the equation $3a+0.1n=123$ 
If we solve this equation for n, which
equation would result?

•  $0.1n=123-3a$  

•  $n=123-0.3a-1$  

•  $n=123-3a$  

•  $n=\frac{123-3a}{0.1}$  

Tags

CCSS.HSA.CED.A.4

 $12=3x+4y$  

Which graph represents the equation?

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A school sells adult tickets and student tickets for a play. It collects $1,400 in total. The graph shows the possible combinations of the number of adult tickets sold and the number of student tickets sold.

What does the vertical intercept (0, 200) tell us in this situation?

• It tells us the decrease in the sale of adult tickets for each student ticket sold.

• It tells us the decrease in the sale of student tickets for each adult ticket sold.

• It tells us that if no adult tickets were sold, then 200 students tickets were sold.

• It tells us that if no students tickets were sold, then 200 adult tickets were sold.

Tags

CCSS.HSF.LE.B.5

At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.

What system of equations represents this situation?

• $x+y=4.25$ ; $16.90x+4y=36.35$

• $4.25x+y=16.90$ ; $16.90x+4y=36.35$

• $x+y=4.25$ ; $x+y=36.25$

• $4x+16.90y=36.25$ ; $4x+y=4.25$

Tags

CCSS.8.EE.C.8C

The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.

If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints in this

situation?

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Tags

CCSS.HSA.CED.A.3