Number System Operations Quiz

Arithmetic Operations

• The square root of 144 is 12.
• The value of (7^3) (7 cubed) is 343.
• The value of (5!(3 + 2)) can be calculated as (5! = 120) and (3 + 2 = 5), thus the result is (120 \times 5 = 600).
• The result of (20 \times \frac{3}{4}) is calculated as (20 \times 0.75 = 15).

Linear Equations

• The standard form of the linear equation (2x - 3y = 6) is represented as (Ax + By = C), where (A=2), (B=-3), and (C=6).
• The graph of the linear equation (4x + 5y = 20) can be represented as a line with intercepts found by setting (x) and (y) to zero.

Slope-Intercept Form

• The slope-intercept form of the linear equation (3x - y = 8) can be rearranged to (y = 3x - 8), indicating a slope of 3 and a y-intercept of -8.

Solution to System of Equations

• The system of linear equations (2x - 3y = 6) and (4x - 6y = 12) is dependent; they represent the same line and hence have infinitely many solutions.