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Number System Operations Quiz

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Questions and Answers

What is the square root of $144$?

$12$ (correct)

$14$

$10$

$16$

What is the value of $7^3$?

$343$

$216$

$729$ (correct)

$512$

What is the value of $5!(3 + 2)$?

$600$

$120$ (correct)

$300$

$500$

What is the result of $20 imes rac{3}{4}$?

$16.5$ Signup and view all the answers

What is the standard form of the linear equation $2x - 3y = 6$?

$y = \frac{2}{3}x - 2$ Signup and view all the answers

Which of the following represents the graph of the linear equation $4x + 5y = 20$?

A line passing through (0,4) and (5,0) Signup and view all the answers

What is the slope-intercept form of the linear equation $3x - y = 8$?

$y = 3x - 8$ Signup and view all the answers

Which of the following is the solution to the system of linear equations: $2x - 3y = 6$ and $4x - 6y = 12$?

(3, 0) Signup and view all the answers

Study Notes

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.

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Description

Test your knowledge of number system operations with this quiz. It covers topics such as exponents, square roots, factorials, and multiplication of fractions.