2018 Algebra New Meridian Released items

• [Graph A]

• [Graph B]

• [Graph C]

• [Graph D]

Subtract (4x^2 - x + 6) from (3x^2 + 5x - 8).

• D. When k > 1, the graph of r(x) is a vertical compression of the graph of s(x).

• F. When 0 < k < 1, the graph of r(x) is a vertical compression of the graph of s(x).

• A. When k < 0, the vertex of the graph of r(x) is a minimum.

• C. When k > 1, the graph of r(x) is a vertical stretch of the graph of s(x).

• B. When k < 0, the vertex of the graph of r(x) is a maximum.

• A. vertical shift 4 units up

• B. vertical shift 4 units down

• C. horizontal shift 4 units to the left

• D. horizontal shift 4 units to the right

The two graphs and two descriptions each represent a sequence. Choose the equation that represents each sequence for n = 1, 2, 3... Drag and drop the letter of the graph or description (A, B, C, D) to the correct box.

• 
• k(n) = 5 - 5(n - 1)

• 
• g(n) = -3/4 n + 59/4

• 
• 

At the end of year 0, city M has a population of 23,500 that is growing at a rate of 5% per year. The population of city P at the end of year 0 is 23,000. The population of city P over a 4-year period is shown in the table. If the growth rate for each city does not change, which statement about the populations of city M and city P is true?

• A. City M has the greater growth rate and the larger population at the end of year 2.

• B. City M has the greater growth rate and the smaller population at the end of year 2.

• C. City P has the greater growth rate and the larger population at the end of year 2.

• D. City P has the greater growth rate and the smaller population at the end of year 2.

Members of a high school sports team are selling boxes of popcorn and boxes of pretzels for a fundraiser. They earn $2 for every box of popcorn they sell and $5 for every box of pretzels. The members want to earn at least $500 from all sales.

Let x represent the number of boxes of popcorn sold and y represent the number of boxes of pretzels sold.

What inequality represents the number of boxes of popcorn and the number of pretzels that need to be sold to reach the goal of earning at least $500

• 2x + 5y ≥ 500

• 5x + 2y ≥ 500

• (2 + x)(5 + y) ≥ 500

• (5 + x)(2 + y) ≥ 500

Members of a high school sports team are selling boxes of popcorn and boxes of pretzels for a fundraiser. They earn $2 for every box of popcorn they sell and $5 for every box of pretzels. The members want to earn at least $500 from all sales.

A line exists that serves as the boundary for the points making up the solution set of the inequality representing the numbers of boxes of popcorn and boxes of pretzels sold. Consider the line graphed in the xy-coordinate plane. What would be the interpretation, in context, of its slope?

• For every increase of 2 boxes of popcorn sold, 5 more boxes of pretzels need to be sold to earn $500.

• For every increase of 2 boxes of popcorn sold, 5 fewer boxes of pretzels need to be sold to earn $500.

• For every increase of 5 boxes of popcorn sold, 2 more boxes of pretzels need to be sold to earn $500.

• For every increase of 5 boxes of popcorn sold, 2 fewer boxes of pretzels need to be sold to earn $500.

Members of the team believe they can sell at least 40 boxes of pretzels. Which graph represents the solution in the xy-coordinate plane of the system of inequalities that represents the numbers of boxes of popcorn and boxes of pretzels that need to be sold with the constraint that at least 40 boxes of pretzels will be sold?

• (Graph A)

• (Graph B)

• (Graph C)

• (Graph D)