Inequalities and Functions Assessment

The video tutorial covers solving inequalities on a number line, calculating advertisement costs using inequalities, finding exponential function equations, verifying points on a line, and completing the square for quadratic functions. It provides step-by-step solutions and explanations for each topic, helping students understand the concepts and apply them to solve problems.

What is the first step in solving the inequality 3x - 2 < 10?

• Divide both sides by 3

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 3

How is the solution for 3x - 2 < 10 represented on a number line?

• Closed circle at 4, shade to the right

• Open circle at 4, shade to the left

• Closed circle at 4, shade to the left

• Open circle at 4, shade to the right

What is the boundary point for the inequality 5x - 1 - 3x ≥ 4x + 5?

• x = 3

• x = -3

• x = 4

• x = 0

In the inequality 5x - 1 - 3x ≥ 4x + 5, what does a closed circle at -3 indicate?

• x is less than or equal to -3

• x is greater than or equal to -3

• x is less than -3

• x is greater than -3

What is the solution set for 2(x + 2) > 10 - x?

• x ≥ 2

• x < 2

• x > 2

• x ≤ 2

For the inequality 4(x - 3) + 5 ≥ -7, what is the boundary point?

• x = 1

• x = 3

• x = -3

• x = 0

In the advertisement problem, what is the maximum height of the ad if the budget is $2700?

• 5 inches

• 6 inches

• 4 inches

• 7 inches

What is the base fee for the advertisement in the problem involving Algeria?

• $1200

• $1300

• $1000

• $1500

What is the equation of the exponential function passing through (1, 6) and (4, 48)?

• y = 3 * 2^x

• y = 6 * 2^x

• y = 2 * 3^x

• y = 6 * 3^x

What is the slope of the line with intercepts (-7, 0) and (0, -2)?

• -2/7

• -7/2

• 7/2

• 2/7