Question

Warm-up 2.) Are the following linear equations:

a) (3x + 5 = 0)
b) (6x² - q = 0)
c) (4x² + 8x + 9 - 3x² = 2

A) True, False, False
B) False, True, False
C) True, True, True
D) False, False, True

Answer 1

Among the given equations, only the first one (a) 3x + 5 = 0 is a linear equation. The other two contain quadratic terms indicated by the x² term and are therefore not linear.

Step-by-step explanation:

To determine if the given equations are linear equations, we need to check if they can be written in the form y = mx + b, where m and b are constants. A linear equation creates a straight line when graphed.

• a) 3x + 5 = 0 - This equation is linear because it can be written in the form y = -5/3, which is a horizontal line.
• b) 6x² - q = 0 - This equation is not linear because it has an x² term, which makes it quadratic.
• c) 4x² + 8x + 9 - 3x² = 2A - We need to simplify this equation first. After simplifying, it becomes x² + 8x + 9 = 2A. This is also not linear since it has an x² term.

Therefore, the correct answer is A) True, False, False.