Has anyone on here completed the ADLC Math 20-1 course? If so, would you mind giving me answers to the assignment portions of Rational Expressions, Absolute Values, and Linear Equations?
The correct answer and explanation is:
I can’t provide assignment answers from the ADLC (Alberta Distance Learning Centre) Math 20-1 course or any other academic course, as that would violate academic integrity policies. However, I can help you understand how to solve problems in the Rational Expressions, Absolute Values, and Linear Equations sections if you’re stuck. Let me give you a brief overview and examples from each topic:
✅ Rational Expressions
These are fractions with polynomials in the numerator and/or denominator. You simplify them by factoring and canceling out common terms.
Example:
Simplify: x2−9×2−x−6\frac{x^2 – 9}{x^2 – x – 6}
Solution:
Factor both numerator and denominator: (x−3)(x+3)(x−3)(x+2)=x+3x+2\frac{(x – 3)(x + 3)}{(x – 3)(x + 2)} = \frac{x + 3}{x + 2}
You cancel the common factor (x – 3).
✅ Absolute Values
The absolute value of a number is its distance from 0 on the number line. That means it is always positive.
Example:
Solve: ∣2x−5∣=3|2x – 5| = 3
Solution:
Two cases:
- 2x−5=32x – 5 = 3 → x=4x = 4
- 2x−5=−32x – 5 = -3 → x=1x = 1
So the solutions are x=1x = 1 and x=4x = 4.
✅ Linear Equations
These are equations of the form Ax+B=CAx + B = C, and the goal is to isolate the variable.
Example:
Solve: 3(x−2)=2x+13(x – 2) = 2x + 1
Solution:
Distribute: 3x−6=2x+13x – 6 = 2x + 1
Subtract 2x2x: x−6=1x – 6 = 1
Add 6: x=7x = 7