Algebra Concepts and connections MOCK Milestone

Which function can be used to model the data in this table?

• f(x) = 3x

• f(x) = x - 1

• f(x) = 2x - 1

An arithmetic sequence is shown. 7, 11, 15, 19, ... What is the recursive formula that was used to create this sequence?

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(n) = -n

• f(n) = n + 4

• f(n) = -3n + 8

Which situation could be modeled by a function with a domain of all positive integers?

• the distance a runner has moved during a race as a function of time since the race started

• the amount of fish food required in a fish tank as a function of the number of fish in the tank

• the amount of power required to operate a computer as a function of the length of time the computer is on

• the amount of water required by an animal as a function of the mass of the animal

Which situation could be modeled by a function with a domain that includes positive and negative real numbers?

• the height of a plant as a function of time since the seed was planted

• the elevation of a hiker as a function of the number of steps taken

• the amount of time required to read a book as a function of the number of words in the book

• the amount of precipitation as a function of the outdoor temperature

Vicky is studying French. She spends 1 hour reviewing each old chapter. She also spends 1.5 hours learning each new chapter. She spends at least 10 hours per week studying French. Which graph could represent the possible number of old chapters Vicky reviews, x, and new chapter Vicky learns, y, each week?

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• A. (8,4)

• B. (10,2)

• C. (7,9)

• D. (5,9)

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 2,000 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 the number of pounds of grapes that Jose can buy for a month?

A restaurant makes two kinds of bread: plain bread and cheesy bread. An order of plain bread requires 2 pounds of dough. An order of cheesy bread requires 3 pounds of dough and 1 pound of cheese. The restaurant has 80 pounds of dough and 20 pounds of cheese available each day. Which system of inequalities represents the number of orders of plain bread, x, and cheesy bread, y, that can be made each day?

• A. 2x + 3y ≤ 80

  x + 2y ≤ 20

• B. 2x + 3y ≤ 80

  3x + 2y ≤ 80

• C. 2x + 3y ≤ 80

  x ≤ 20

• D. 2x + 3y ≤ 80

  y ≤ 20

A system of linear inequalities is shown. Inequality 1: y > -2x + 5 Inequality 2: y ≤ -x/3 + 5 Which statement is true for the point (0,3)?

• A. The point (0,3) is a solution for inequality 2 but not for inequality 1.

• B. The point (0,3) is not a solution for this system of linear inequalities.

• C. The point (0,3) is the only solution for this system of linear inequalities.

• D. The point (0,3) is one of many solutions for this system of linear inequalities.