Algebra TN Ready

Simplify the expression (2 - 3i)(4 + 2i).

• 14

• 6i

• 2-8i

• 14-8i

What is the remainder when f(x) = x³ + 3x² - 10x - 14 is divided by (x - 3)?

• 7

• 10

• -5

• 8

Which is equivalent to (4x + 6y)²?

• 16x² + 36y²

• 4x² + 2(4x)(6y) + 6y²

• (4x)² + 2(4x)(6y) + (6y)²

• (4x)² + (4x)(6y) + (6y)²

A sequence is given as 6, 18, 54, ... Find the sum of the first 11 terms of the sequence.

• 64892

• 531438

• 41664

• 38208

A scientist wants to find the water quality of a river. He collects 100 water samples and runs quality tests on the water. Which method of water collection will give him the most accurate result?

• collecting water from the same point in the river every Monday

• collecting water on different days of the week from the same point in the river

• collecting water from different parts of the river every Monday

• collecting water from different parts of the river on different days of the week

The 4th term of a sequence is 108. Each term after the first is three times the previous term. Write an explicit function that models the general term of the sequence f(n).

• f(n) = 4(3^n-1)

• f(n) = 3(4^n-1)

• f(n) = 108(3^n-1)

• f(n) = 4(108^n-1)

A system of functions is given.

f(x) = -x² - 2x + 6

g(x) = 2x² +5x +3

Select the values of x, to the nearest tenth, for which f(x) = g(x).

• -1.8, -0.6

• 4.1, 5.1

• -2.7, 0.4

• 0.4, 7.0

Find the minimum point for the quadratic f(x) = x² - 10x + 24.

• (5, -1)

• (5, 0)

• (-1, 5)

• (4, -2)

The formula to determine the pH of a solution, given its hydronium ion concentration, is y = −log (x).

• x represents the hydronium concentration
• y represents the pH of the solution

What equation represents the hydronium ion concentration in terms of the pH?

• x = (-10)^y

• x = -10^y

• x = (-10)^-y

• x = 10^-y

A researcher wants to find if the behavior of children is affected by playing video games that have violent content. he asks the parents of 100 children in a day care center how often each child plays video games ans whether the video games they play have violent content. The children are then allowed to play in a controlled environment, such as the day care center's playground. Any violent behaviors are then noted. What type of study is the researcher conducting?

• census

• experiment

• observational study

• sample survey