11 Questions
What is the term for a large-scale cultivation of a single type of plant?
Plantation
What is the primary purpose of a place where a single type of plant is grown and cultivated on a large scale?
To generate a large yield of a single crop
Which of the following is most likely to be found on a large scale at a plantation?
A single type of plant
What is typically grown and cultivated on a large scale at a plantation?
A single type of plant
What is the term for a large-scale cultivation of a single type of plant, such as coffee or tea?
Plantation
What is the first step in solving a linear equation in one variable?
Simplify both sides of the equation
What is the purpose of checking the solution in a linear equation?
To verify that the solution is true
What is the result of solving a linear equation that is a contradiction?
No solution
What is the form of a linear equation in one variable?
ax + b = 0
What operation should be performed to isolate the variable in a linear equation?
Multiply or divide both sides by the coefficient of the variable
What is the result of solving a linear equation that is an identity?
Infinite solutions
Study Notes
Plantation
- A plantation is a large-scale cultivation of a single type of plant.
- The primary purpose of a plantation is to grow and cultivate a single type of plant on a large scale.
- A plantation is likely to have a large scale cultivation of a single crop, such as coffee or tea.
- Plantations typically grow and cultivate crops such as coffee, tea, or other single-type plants.
Solving Linear Equations in One Variable
Definition
- A linear equation in one variable is in the form
ax + b = 0, whereaandbare constants, andxis the variable.
Steps to Solve Linear Equations
- Simplify both sides of the equation by combining like terms and eliminating parentheses.
- Isolate the variable (
x) by adding or subtracting the same value to both sides, and then multiplying or dividing by the coefficient of the variable. - Check the solution by plugging it back into the original equation to verify its truth.
Examples
- Solve for
x:2x + 5 = 11by subtracting 5 from both sides, then dividing by 2 to getx = 3. - Solve for
x:x - 3 = 7by adding 3 to both sides to getx = 10.
Special Cases
- No solution exists if the equation is a contradiction (e.g.,
0 = 1). - Infinite solutions exist if the equation is an identity (e.g.,
2 = 2). - Always check solutions by plugging them back into the original equation to verify their truth.
Learn about plantations, large-scale cultivation of a single type of plant, and its primary purpose.
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