Define additive inverse.
The additive inverse of a number is its opposite, which when added equals zero.
What is the multiplicative inverse?
The multiplicative inverse of a number is its reciprocal, which when multiplied equals one.
True or false: The additive inverse of 5 is -5.
TRUE
Fill in the blank: The multiplicative inverse of 3 is ______.
1/3
What is the first step in solving equations using additive inverses?
Isolate the variable by adding or subtracting the same number.
Define word problem in mathematics.
A word problem is a mathematical question presented in a narrative format.
True or false: Word problems always involve complex equations.
FALSE
Word problems can range from simple to complex, depending on the context.
What is the purpose of using inverses in solving equations?
To isolate the variable and simplify the equation.
Fill in the blank: To solve for x, you can use the additive inverse to eliminate ______.
constant terms
What is a common strategy for solving word problems?
Identify the variables, write an equation, and solve for the unknown.
Define variable in the context of equations.
A variable is a symbol used to represent an unknown value in an equation.
True or false: The multiplicative inverse of 0 is undefined.
TRUE
What does it mean to isolate a variable?
To rearrange an equation so that the variable is on one side by itself.
Fill in the blank: In the equation x + 3 = 7, the additive inverse of 3 is ______.
-3
What is the first step in solving the equation 2x = 8?
Use the multiplicative inverse by dividing both sides by 2.
Define equation.
An equation is a mathematical statement that asserts the equality of two expressions.
True or false: You can use multiplicative inverses to solve any equation.
FALSE
Multiplicative inverses are specifically used for equations involving multiplication.
What is the goal when solving a word problem?
To find the value of the unknown variable based on the given information.
Fill in the blank: To solve for y in the equation 3y + 6 = 12, first use the additive inverse to eliminate ______.
6
What is a constant term?
A constant term is a fixed value in an equation that does not change.
True or false: Word problems can be solved without writing equations.
FALSE
Writing equations helps clarify the relationships between quantities.
What is the last step in solving an equation?
Check your solution by substituting it back into the original equation.
Fill in the blank: The additive inverse of -4 is ______.
4
Define solution in the context of equations.
A solution is a value that makes an equation true when substituted for the variable.
