Unit 2 Regents Questions

When solving the equation 4(3x² + 2) – 9 = 8x² + 7, Emily wrote      4(3x² + 2) = 8x² + 16 as her first step.  Which property justifies Emily’s first step?

• addition property of equality
• commutative property of addition
• multiplication property of equality
• distributive property of multiplication over addition

Tags

CCSS.HSA.REI.A.1

Which value of x satisfies the equation (**See number 2 on page 22**)

• 8.25
• 19.25
• 8.89
• 44.92

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CCSS.7.EE.B.4A

A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio.  If the cost of manufacturing r radios is given by the function
c(r) = 5.25r + 125, then the value 5.25 best represents

• the start-up cost
• the profit earned from the sale of one radio
• the amount spent to manufacture each radio
• the average number of radios manufactured

Tags

CCSS.HSF.LE.B.5

John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the number of dimes, x, in his pocket?

• 0.10(x + 4) + 0.05(x) = 1.25
• 0.05(x + 4) + 0.10(x) = 1.25
• 0.10(4x) + 0.05(x) = 1.25
• 0.05(4x) + 0.10(x) = 1.25

A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user’s monthly bill?

• c = 60 – 0.05d
• c = 60d – 0.05
• c = 60.05d
• c = 60 + 0.05d

The formula for the volume of a cone is (**See #6 on page 22**). The radius, r, of the      cone may be expressed as

• Choice 1 (#6 on page 22)
• Choice 3 (#6 on page 22)
• Choice 2 (#6 on page 22)
• Choice 4 (#6 on page 22)

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CCSS.HSA.CED.A.4

A satellite television company charges a one-time installation fee and a monthly service charge.  The total cost is modeled by the function y = 40 + 90x.  Which statement represents the meaning of each part of the     function?

• y is the total cost, x is the number of months of service, $90 is the installation fee, and $40 is the service charge per month.
• y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.
• x is the total cost, y is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.
• x is the total cost, y is the number of months of service, $90 is the installation fee, and $40 is the service charge per month.

Tags

CCSS.HSF.LE.B.5

What is the value of x in the equation? (**See page 23 #8**)

• 4
• 8
• 6
• 11

Tags

CCSS.7.EE.B.4A

The formula for area of a trapezoid is... (**see page 23 #9**) Express b₁ in terms of A, h, and b₂ (complete this part of the question in your packet!!). The area of a trapezoid is 60 square feet, its height is 6 ft, and one base is 12 ft. Find the number of feet in the other base.

• 60
• 12
• 8
• 4

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CCSS.6.G.A.1

The owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner estimates his weekly profit using the function P(x) = 8600 - 22x.  In this function, x represents the number of

• computers repaired per week
• hours worked per week
• customers served per week
• days worked per week

Tags

CCSS.HSF.LE.B.5