Algebra Keystone Review 2

In an experiment, a plant grows 0.05 centimeters per day.  The plant had a height of 2 centimeters when the experiment started.  Which equation describes the relationship between the number of days (d) the experiment lasts and the height (h), in centimeters, of the plant?

• h=0.05d+2
• h=0.05(2)+d
• h=2d+0.05
• h=2.05d

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Juanita used the steps shown below to correctly solve an equation. A step is missing.

-3(c-6)+4c=5(2c+9)

?

c+18=10c+45

c-27=10c

-27=9c

-3=c

Which shows the equation that is most likely a missing step and the property that justifies the step?

• -3c-6+4c=10c+9

  Associative property of addition

• -3c-6+4c=10c+9

  distributive property

• -3c+18+4c=10c+45

  distibutive property

• -3c+18+4c=10c+45

  associative property of addition

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Sylvia studied a new language.  The equation below describes how many words she knew (y) after studying the language for x days.
y=5x+18
The ordered pair (6,48) is a solution of the equation.  What does the solution represent?

• Sylvia knew 6 words after 48 days.
• Sylvia knew 6 words after 6 days
• Sylvia knew 48 words after 6 days
• Sylvia knew 48 words after 48 days

Tags

CCSS.HSA.SSE.A.1

A cleaning service offers its customers a choice between the two plans.  
-Plan A costs $3000 and includes 1 year of unlimited cleanings
-Plan B costs $75 per cleaning
Henry wants to choose the less expensive plan.  He uses the inequality 3000<75c to deduce which plan to choose based on the number of cleanings (c) he expects to need.  Based on the solution of this inequality, which statement about Henry's choice of plan is true?

• Henry should choose plan A only if he expects to need fewer than 40 cleanings in 1 year.
• Henry should choose plan A only if he expects to need more than 40 cleanings in 1 year.
• Henry can choose either plan and pat the same amount if he expects to need fewer than 40 cleanings in 1 year.
• Henry can choose either plan and pay the same amount if he expects to need more than 40 cleanings in 1 year.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Kelly is planning a business trip to Hartford, CT and Boston, MA.  She is going to stay no more than 5 nights on the trip.  She estimates each night she stays at a hotel in Hartford will cost $90, and each night she stays at a hotel in Boston will cost $120.  She wants to spend no more than $540 for hotel stays.  Which graph represents the possible combinations of nights she can stay in Hartford (x) and nights she can spend in Boston (y)?

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12

A baker makes two types of doughnuts.  It costs $0.25 to make each glazed doughnut and $0.30 to make each chocolate doughnut.  The baker wants to  make more than 200 doughnuts for the day but can spend no more than $60.00 making them.  The system of inequalities below describes the relationship between the number of glazed doughnuts (x) and chocolate doughnuts (y) the baker could make for the day.
0.25x+0.30y≤60.00
x+y>200
One solution of the system of inequalities is the ordered pair (100,110).  Which statement best describes the meaning of the solution?

• The baker could make 100 glazed doughnuts and 110 chocolate doughnuts
• The baker could earn $100 from glazed doughnuts and $110 from chocolate doughnuts
• The baker can make a maximum of 100 glazed doughnuts and 110 chocolate doughnuts
• The baker will spend exactly $60 making 100 glazed doughnuts and 110 chocolate doughnuts

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

The table shows Eli’s distance from home as he rides his bike at a steady rate after meeting a friend. . Write an equation in y = mx + b form that represents the miles, y, that Eli goes in x hours. 

• y = 2x + 2
• y = 12x + 12
• y = 12x + 2
• y = 2x + 12

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

The Dailey family uses maple sap to make syrup. The table shows the temperature of the sap as it heats. Write an equation in slope- intercept form. 

•  F= 38h + 45
•  F= 75h + 38
•  F= 45h + 38
•  F= 65h + 38

Tags

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

Which graph is a function?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.C.7

Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.
 Write a linear model that shows how much money will be in the account after x months. 

• y=25000x-1500
• y=25000+1500
• y=1500x+25000
• y=-1500x+25000

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7