Released NC Math 1 items

Solve for x: 2x + 5 = 15

• 5

• 6

• 7

• 8

Which expression is equivalent to (x + 2)(3x - 3)?

• 3x^2 - 6

• 3x^2 + 3x - 6

• 3x^2 + 6x - 6

• 3x^2 + 9x - 6

What is the value of b if a line passes through the point (1,6) and is parallel to another line with the equation y = 4x + 6?

• A) 2

• B) 6

• C) 10

• D) 4

For the functions f(x) = 1/2 * 2^x and g(x) = 5x + 2, what is the largest integer value of x such that f(x) <= g(x)?

• A) 3

• B) 4

• C) 5

• D) 6

A company models its net income with the function f(x) = 9x^2 - 54x - 144. How many units of its product must the company sell to break even?

• A) 2

• B) 6

• C) 8

• D) 12

Joanna has a total of 50 coins in her purse, which are either nickels or quarters. The total value of the coins is $7.10. Which system of equations can be used to determine the number of nickels, n, and quarters, q, that Joanna has in her purse?

• n + q = 50, 0.05n + 0.25q = 7.10

• n + q = 7.10, 0.05n + 0.25q = 50

• 50n + 50q = 7.10

• 0.05n + 0.25q = 50, n + q = 7.10

The function f(x) = -0.25x + 5 models the height of a candle x seconds after it is lit. What is the meaning of the y-intercept of the function?

• The initial height of the candle

• The final height of the candle

• The rate at which the candle is burning

• The amount of time it will take the candle to burn

What is the total cost, in dollars, of a membership in a fitness center for one year if the cost function is given by c(m) = 20m + 40, where m is the number of months?

• $280

• $240

• $300

• $320

Water is being pumped into a 10-foot-tall cylindrical tank at a constant rate. If the depth of the water at 1:30 p.m. was 2.4 feet and at 4:00 p.m. it was 3.9 feet, what will the depth of the water be at 5:00 p.m.?

• 4.5 feet

• 5.0 feet

• 4.0 feet

• 5.5 feet

Which inequality represents the condition that Sally will save at least $20 more than half of her paycheck each month?

• y ≥ 1/2 x + 20

• y ≤ 1/2 x + 20

• y ≥ 2/3 x + 20

• y ≤ 2/3 x + 20