Lesson 10 & 11 Practice

p. 75 #2 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 their situation?

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

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

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

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

Tags

CCSS.7.RP.A.2D

p.76 #3 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.

a. What is the slope of the graph? Show your reasoning.

Tags

CCSS.8.EE.B.5

p.76 #3 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.

b. What does the slope tell us about this situation?

Tags

CCSS.8.EE.B.5

p.76 #3 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.

c. Write an equation that represents the relationship between the hikers' distance from the start of the trail, x, and their elevation, y.

Tags

CCSS.8.EE.B.5

p.76 #4 A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation 1.5s + 3.5c = 21 represents the relationship between sheets of stickers, s, packs of cardstocks, c, and the dollar amount a kindergarten teacher spent on these supplies.

b. What does the vertical intercept, (0,6) mean in this situation?

Tags

CCSS.HSF.LE.B.5

p.76 #4 A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation 1.5s + 3.5c = 21 represents the relationship between sheets of stickers, s, packs of cardstocks, c, and the dollar amount a kindergarten teacher spent on these supplies.

b. What does the horizontal intercept, (14, 0) mean in this situation?

Tags

CCSS.HSF.LE.B.5

p.77 #5 In physics, the 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, represents the number of moles of gas, and R is a constant for the ideal gas.

Which equation is solved for T?

• $\frac{PV}{R}=nT$

• $\frac{PV}{nR}=T$

• $T=PV-nR$

• $PVnR=T$

Tags

CCSS.HSA.CED.A.4

p.78 #9 Consider the equation 3a + 0.1n = 123. If we solve this equation for n, which equation would result? 

•  $0.1n=123-3a$  

•  $n=123-3a-0.1$  

•  $n=1,230-30a$  

•  $\frac{3a-123}{0.1}=n$  

Tags

CCSS.HSA.CED.A.4

p.78 #8 Explain why the equation 2(3x - 5) = 6x + 8 has no solutions.

Tags

CCSS.8.EE.C.7A

p.78 #10 Diego is buying shrimp and rice to make dinner. Shrimp costs $6.20 per pound and rice costs $1.25 per pound. Diego spent $10.55 buying shrimp and rice. The relationship between pounds of shrimp s, pounds of rice r, and the total cost is represented by the equation 6.20s + 1.25r = 10.55.

Write an equation that makes it easy to find the number of pounds of rice if we know the number of pounds of shrimp purchased.

Tags

CCSS.HSA.REI.B.3