True/False
True or False? In the following equation, 10 is the solution:
2x+4y=10
FALSE! 10 is a total. The solution are whatever values for x and y make the equation true.
the name we call letters in mathematics that represent unknown or changing values.
Variables!
What is the difference between an expression and an equation?
An expression has variables and operations but no equal sign. An equation does have an equal sign.
True or False? The coefficients of the following equation are 2x and 4y.
2x+4y=10
FALSE. The coefficients are just 2 and 4, they do not include the variable.
Part of a math sentence that is separated by addition or subtraction.
A term!
What are the three most common forms mathematicians model the real world?
Mathematicians most commonly model the real world using equations, graphs, or tables!
True or False? In the following equation 10 is a constant.
2x+4y=10
True! Constants are numbers not being multiplied or divided by variable.
The name we would use to describe the following relationship:
2 xx(3*x^2)
Quadratic! It has an exponent of two on the variable.
How can you check if your solution to a linear equation is correct?
You can substitute a value into the equation. If the value makes the equation true, then it is a solution!
True of False? The following equation can be solved as is.
2x+4y=10
False! An equation with two different variables cannot be solved without more information. It can only be rearranged or rewritten.
The name we would use to describe the following relationship:
2 xx (3*x)
Linear! (there are no exponents)
What is a linear relationship?
A linear relationship is one that forms a straight line when comparing two sets of numerical values.
True or False? (1, 2) is a possible solution for the following equation.
2x+4y=10
True! 2(1)+4(2)=10! Other possible solutions are (3, 1) or (-1, 3).
The name we would use to describe the following relationship:
2 xx (3*2^x)
Exponential! The variable IS the exponent!
What does it mean if two equations are equivalent?
Equivalent equations look different but share the same solutions!