Algebra Concepts and Connections Milestone

What is P(x) - Q(x) ?

• x² - 3

• x² - 9

• x² - 2x - 3

• x² - 2x - 9

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

• f(x) = 3x

• f(x) = x - 1

• f(x) = 2x - 1

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

An electronic store is placing an order for computers and tablets. Each computer costs $875, and each tablet costs $325. The store can spend at most $10,000 for these computers and tablets. The electronic store has a limited amount of space for displaying the new computers and tablets. Each computer takes up 4 square feet of space, and each tablet takes up 3 square feet of space. The store has only 45 square feet of display space available for the new computers and tablets. They system of inequalities shown can be used to determine possible combinations of computers, x, and tablets, y, the store can order. Which combination of computer, x, and tablets, y, can the computer store order?

• (8,4)

• (10,2)

• (7,9)

• (5,9)

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

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 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)?

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

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

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

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

The table defines a quadratic function.

What is the average rate of change between x = -1 and x = 1?

• undefined

• -3

• -4

f(x) = x² + 8x + 15 What is the factored form of f(x) that reveals the zeros of the function?

• f(x) = (x + 4)(x + 2)

• f(x) = (x + 3)(x + 5)

• f(x) = (x + 2)(x + 6)

• f(x) = (x + 1)(x + 15)