1st 9 Weeks Case Review

Which expression is equivalent to 169x² - 36

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

A movie theater sells bags of popcorn in a variety of flavors. The table shows the number of bags of popcorn sold for three different flavors, based on the number of hours, 𝒙, the movie theater is open, where 𝒙 > 𝟎. Which expression represents the total number of bags of butter-, cheese-, and caramel-flavored popcorn sold in 𝟏 hour?

• 6x+8

• 7x+11

• 9x+9

• 11x+14

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

Consider the table of values for the function 𝒇(𝒙). For which value of 𝒑 would 𝒇(𝒙) remain a function?

• 0

• 1

• 4

• 8

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

A gardener records the height of a plant starting 𝟐 years after being planted. The function 𝒇(𝒙) = 𝟐. 𝟓𝒙 + 𝟏𝟎 represents the height of the plant, in centimeters, 𝒙 years after being planted. The graph models the function. Based on the graph, what is the most reasonable domain for the function?

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

A construction worker buys boxes of nails and boxes of screws for a building project. The worker pays $𝟓. 𝟐𝟓 for each box of nails and $𝟏𝟎. 𝟓𝟎 for each box of screws, spending a total of exactly $𝟕𝟑. 𝟓𝟎.

Which two combinations of boxes of nails and boxes of screws are possible for the given amounts?

• 4 boxes of nails and 6 boxes of screws

• 5 boxes of nails and 3 boxes of screws

• 6 boxes of nails and 4 boxes of screws

• 8 boxes of nails and 5 boxes of screws

• 12 boxes of nails and 1 box of screws

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

The table represents the function 𝒇(𝒙) = 𝟏𝟎𝟎 − 𝟐𝟎𝒙, which shows the number of packages a delivery driver has remaining to deliver 𝒙 hours after starting a work shift.

If 𝟎 ≤ 𝒙 ≤ 𝟓, which statement is true about the function when graphed on a coordinate plane?

• The function 𝑓(𝑥) has an 𝑥-intercept located at (0, 5) and a 𝑦-intercept located at (0, 100).

• The function 𝑓(𝑥) has an 𝑥-intercept located at (0, 5) and a 𝑦-intercept located at (100, 0).

• The function 𝑓(𝑥) has an 𝑥-intercept located at (5, 0) and a 𝑦-intercept located at (0, 100).

• The function 𝑓(𝑥) has an 𝑥-intercept located at (5, 0) and a 𝑦-intercept located at (100, 0).

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

A cash register used for a student fundraiser contains only one-dollar bills and five-dollar bills.

• The cash register has at least $𝟏𝟐𝟎. 𝟎𝟎.

• Each one-dollar bill is worth $𝟏. 𝟎𝟎.

• Each five-dollar bill is worth $𝟓. 𝟎𝟎.

Which inequality represents all possible combinations of the number of one-dollar bills, 𝒙, and the number of five-dollar bills, 𝒚, the cash register holds for all positive values of 𝒙 and 𝒚?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

The speed of a loom used for making fabrics is measured in picks per minute. A loom averages 𝟏𝟎𝟎 picks per minute and operates for 𝟓 hours a day. The loom’s owner graphs the total number of picks for 𝟏 day. If 𝒙 represents the number of hours since the loom started, and 𝒚 represents the total number of picks, which best represents the scales that would be used for the graph?

• The 𝑥-axis could be labeled from 0 to 5 with a scale of 1, and the 𝑦-axis could be labeled from 0 to 100 with a scale of 10.

• The 𝑥-axis could be labeled from 0 to 5 with a scale of 1, and the 𝑦-axis could be labeled from 0 to 30,000 with a scale of 3,000.

• The 𝑥-axis could be labeled from 0 to 100 with a scale of 10, and the 𝑦-axis could be labeled from 0 to 5 with a scale of 1.

• The 𝑥-axis could be labeled from 0 to 30,000 with a scale of 3,000, and the 𝑦-axis could be labeled from 0 to 5 with a scale of 1.

Tags

CCSS.HSA.CED.A.2

A student is solving the equation 𝟏𝟓 + 𝟑(𝒙 − 𝟏) = 𝟏𝟐𝒙 + 𝟗. Which describes a first step the student could use to solve the equation correctly?

• The student can distribute 3 on the left side of the equation, resulting in 15 + 3𝑥 − 3 = 12𝑥 + 9.

• The student can distribute 3 on the left side of the equation, resulting in 15𝑥 + 3𝑥 + 3 = 12𝑥 + 9.

• The student can subtract 15 on both sides of the equation, resulting in 3(𝑥 − 1) = −3𝑥 + 9.

• The student can subtract 15 on both sides of the equation, resulting in 3(𝑥 − 1) = 12𝑥 + 24.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3