18 Questions
What is the definition of an equation?
A mathematical statement that asserts the equality of two expressions, and it is true for some numbers and false for others.
What does solving an equation involve?
Finding the value(s) of the variable(s) that make the equation true.
What are additive inverses?
Numbers that add up to zero.
What is the purpose of using additive inverses in solving equations?
To move constants to the other side of the equation.
What does 'doing' refer to in the context of solving equations?
Evaluating an expression by substituting a variable with a value.
What is the final step in solving an equation using inverses?
Using multiplicative inverses to solve for the variable.
Which of the following is an example of 'undoing' in the context of solving equations?
Finding the original value of a variable that produces a given result.
What is the purpose of using multiplicative inverses in solving equations?
To solve for the variable by multiplying both sides of the equation.
Which of the following equations are equivalent?
3x - 2 = 7 and 3x + 2 = 13
What is the first step in solving an equation by inspection?
Check if substituting a specific value of x makes the equation true.
Which of the following is an example of 'doing' in the context of solving equations?
Evaluating an expression by substituting a value of x.
Why do we use additive inverses in solving equations?
To move constants to the other side of an equation.
What is the main difference between an equation and an expression?
An equation is a statement of equality, whereas an expression is not.
Which of the following is NOT a step in solving an equation using inverses?
Graph the equation to find the solution.
What is the main advantage of using inverses to solve equations?
It allows us to easily isolate the variable.
What is the relationship between two equations that have the same solution?
They are equivalent.
What is the main difference between 'doing' and 'undoing' in the context of solving equations?
'Doing' is used to evaluate an expression, whereas 'undoing' is used to solve an equation.
What is the purpose of 'thinking forwards and backwards' in solving equations?
To understand the relationship between the equation and its solution.
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