Answer all the questions below and press submit to see how many you got right.
Equation : An equation is a mathematical statement in which two expressions are written with an equal sign in between. A solution of an equation is a set of variables that makes the statement a true statement.
Multiplication : Multiplication is the mathematical operation that is a shorthand for adding the same amount several times. For example $3\cdot 4=4+4+4=12.$
Parenthesis : Parenthesis or brackets are used to clarify the order of operations in an expression. Within an expression terms in parenthesis are supposed to be calculated first. For example $2\cdot(3+4)=2\cdot 7=14$ but $2\cdot 3+4=6+4=10.$
Solution : A solution to an equation is a choice of variables that when substituted into the equation results in a true statement.
Which $m$ solves $(2x+5)5=10x+m$?
Coordinate system : A coordinate system is a system to describe and visualize points in space (most commonly a two-dimensional or three-dimensional space). Every point is described by a number of coordinates equal to the dimension of the space.
Length : Length is the attribute of a one-dimensional shape that can be measured with a measuring tape.
Line : A line AB is a one-dimensional shape that includes the points A and B, all the points on the line segment in between A and B and all the points of the straight extension of the line segment beyond A and B. A line does not have an endpoint.
Point : A point is an element in a space. Shapes are made of sets of points.
X-coordinate : The first coordinate in a two-dimensional coordinate system.
Y-coordinate : The second coordinate in a two-dimensional coordinate system.
What is the length of the line in the coordinate system between the points (1,1) and (1,5)?
Bound : A bound refers to a level that is not exceeded by a function or sequence (upper bound) or a level that a function or sequence does not go below (lower bound). For example the function $f(x)=x^2$ has a lower bound of 0 but no upper bound. The function $f(x)=\sin x$ has an upper bound of 1 and a lower bound of -1.
Even : Even can refer either to an even function or an even number.
Function : A function is a mapping in which every element in one set is mapped to exactly one element of a second set. Most often the mapping is described using a rule. For example the function $f(x)=x+1$ maps 2 to 3 and -1 to 0.
Multiple : A multiple of a number $x$ is any of the numbers $1x,2x,3x,4x,\ldots.$ For example the multiples of 7 include 7, 14, 21 and 70.
Negative : A number is negative if it is $\lt 0.$
Number : A number $x$ is a mathematical symbol representing a quantity.
Odd : In mathematics odd can refer either to an odd function or an odd number.
Positive : Positive means $\geq 0.$
Square : A square is a quadrilateral with four right angles and four equal length sides. A square is a special case of a rectangle and a special case of a rhombus.
Squared : $x$ squared refers to the number $x^2=x\cdot x.$ For example 3 squared equals 9.
Which statements are true about the function $f(x)=-20x^2?$