Algebra I GMAS Practice

Which function can be used to find the nth term of the arithmetic sequence IF The first term in an arithmetic sequence is 5 AND The fourth term in the sequence is −4, AND The tenth term is −22?

• f(n) = –n

• f(n) = n + 4

• f(n) = –3n + 8

• f(n) = 1/2(n + 5) + 2

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. He also wants his monthly caloric intake from apples and grapes to be greater than 2000 calories. If 1 pound of apples has 200 calories and 1 pound of grapes has 300 calories, 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?

• 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

What is the formula for the slope of a line given two points on the line (x1, y1) and (x2, y2)?

• m = y2 + y1 / x2 + x1

• m = y2 - y1 / x2 - x1

• m = y2 - y1 * x2 - x1

• m = y1 - y2 / x1 - x2

Which formula represents the standard form of a quadratic equation?

• y = a(x - h)² + k

• y = ab^x

• y = ax² + bx + c

• A = P(1 + r/n)^nt

How is the arithmetic sequence formula a_n = a_1 + (n - 1)d used?

• To find the nth term of a geometric sequence

• To calculate the compound interest

• To find the nth term of an arithmetic sequence

• To determine the vertex form of a quadratic equation

What is the formula for the mean absolute deviation?

• Mean Absolute Deviation = Σ(X - μ) / n
• Mean Absolute Deviation = Σ|X - μ| * n
• Mean Absolute Deviation = Σ|X - μ| / n, where X is each data point, μ is the mean of the data set, and n is the total number of data points.

What does the compound interest formula A = P(1 + r/n)^(nt) calculate?

• The sum of the distances between each data value and the mean

• The future value of an investment or loan based on periodic, constant payments and a constant interest rate

• The nth term of a geometric sequence

• The difference between the first quartile and third quartile of a set of data

Which set of data points could be modeled by a line of best fit that is a decreasing linear function?

• {(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)}

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

• x^2 – 3

• x^2 – 9

• x^2 – 2x – 3

• x^2 – 2x – 9

What does the term 4(75) represent?

• the amount of money Sheila must pay her employees per day

• the number of pies Sheila must sell per day

• the total cost of expenses per pie

• the amount of money customers pay per pie