Algebra I EOC Practice

The table shows the amount of money in Jacob's account starting with his initial deposit. Create the function f, where f(w) models the amount of money in Jacob's account given the number of weeks, w, after his initial deposit. Which of the following best represents the function?

• f(w)= 70w + 250

• f(w)= 35w + 250

• f(w) = 250w + 70

• f(w) = 250w + 35

The function f can be used to represent the relationship between the number of gallons of water remaining, f(m), in a garden fountain after m minutes of draining at a constant rate of 8 gallons per minute. W represents the amount of water, in gallons, in the fountain before draining begins. Which equation best describes this function?

• f(m)= 8m + W

• f(m)= W + 8m

• f(m)= 8m - W

• f(m) = W - 8m

What is the value of the y-coordinate of the solution to the system of equations?

x - 2y = 1

x + 4y = 7

• 1

• -1

• 3

• 4

A sporting goods store sells right handed gloves (x) and left handed gloves (y). In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system of equations could be solved to determine the number of left handed and right handed gloves sold?

• x + y = 561

  45x + 52y = 12

• x + y = 12

  52x + 45y = 561

• x + y = 12

  45x + 52y = 561

• x + y = 561

  52x + 45y = 12

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations to represent the situation.

• 5q + 2z = 1.32

  1z = 0.75

• 5q + 2z = 1.32

  3q + 1z = 0.75

• q + z = 1.32

  q + z = 0.75

• 5q + 2z = 0.75

  3q + 1z = 1.32

Find the solution to the following:

-2x + 6y = 16

-4x - 3y = 2

• (2, 2)

• (-2, -2)

• (-2, 2)

• (2, 1)

What is the solution to the following system of equations?

y = 2x + 1

y = 4x - 1

• (1, 3)

• (-1, -3)

• (-1, 3)

• (3, 1)

Consider the equations:

4x - 2y = -6
cx - y = -3

What value of c would produce a system that has an infinite number of solutions?

• c = 2

• c = -2

• c = 4

• c = -4

Gracie is a college student working 2 jobs. She earns $15 and hour as a runner for a law firm and she earns $9 an hour stocking at the book store. She wants to earn at least $250 per week, but not work more than 20 hours a week. Let r represent the number of hours Gracie works in one week as a runner for the law firm and let s represent the number of hours she works stocking at the book store. Which inequalities represent Gracie's goal for earning money and the number of hours she can work in one week. Select the two that apply.

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

• x + y < 10

  2x + 3y ≥ 20

• x + y ≤ 10

  2x + 3y ≤ 20

• x + y ≤ 20

  2x + 3y > 10

• x + y < 20

  2x + 3y > 10