Algebra Milestone

Jose wants to spend no more than $30 on apples and grapes for the month. Apples cost $1.50 per pound, and grapes cost $2 per pound. Jose also wants his monthly caloric intake from apples and grapes to be greater than 2000 calories. He determines that 1 pound of apples has 200 calories and 1 pound of grapes has 300 calories.
Let a represent the number of pounds of apples, and g represent the number of pounds of grapes. Which system of inequalities can be used to determine the number of pounds of apples and grapes that Jose can buy for a month?CED.3

• 1.5a + 2g >=30
  200a + 300g > 2000

• 1.5a + 2g <= 30
  200a + 300g > 2000

• 2a + 1.5g <= 30
  300a + 200g >2000

• 2a + 1.5g >= 30
  200a + 300g <2000

The first term in an arithmetic sequence is 5. The fourth term in the sequence is -4. The tenth term is -22
which function can be used to find the nth term of the arithmetic sequence? F.BF.2

• f(n) = -n

• f(n) = n + 4

• f(n)= -3n + 8

• f(n) = 1/2 (n+5)+ 2 

Which set of data points could be modeled by a decreasing linear function? ID.6a

• {(0, 0), (1, 8), (2, 15), (3, 22), (4, 30)}

• {(0, 5), (1, 6), (2, 10), (3, 16), (4, 28)}

• {(0, 50), (1, 42), (2, 33), (3, 25), (4, 16)}

• {(0, 64), (1, 60), (2, 52), (3, 39), (4, 22)}

Use these functions to answer this question. P(x) = x² – x – 6
 Q(x) = x – 3
What is P(x) – Q(x)? APR.1

• A. x² - 3

• B. x² - 9

• C. x² - 2x - 3

• D. x^{2 - 2x - 9}

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

Which function represents the data in the table? F.BF.1
x    3    6   10    15
y   2.5  4   6     8.5

• f(x) = 2x + 1

• f(x) = x/2 - 1

• f(x) = 2x - 1

• f(x) = x/2 + 1

What is the solution to this system of equations?REI.6
x - 3y = 1
x - 2y = 6

• (-4, -5)

• (-2, -1)

• (4,1)

• (16, 5)

• a

• b

• c

• d

• a

• b

• c

• d