What is an equation?
An equation is a mathematical statement that asserts the equality of two expressions.
True or False: An equation can have more than one solution.
True
Fill in the blank: In algebra, a _____ is a symbol used to represent a number that is not yet known.
variable
What is the general form of a linear equation?
y = mx + b
What does ‘m’ represent in the linear equation y = mx + b?
‘m’ represents the slope of the line.
What is the slope of a line?
The slope of a line is the ratio of the change in y to the change in x.
True or False: The graph of a quadratic function is a straight line.
False
What is a function?
A function is a relation that assigns exactly one output for each input.
Multiple Choice: Which of the following is not a function? A) y = x^2 B) y = 2x + 3 C) y^2 = x
C) y^2 = x
What is the domain of a function?
The domain of a function is the set of all possible input values.
What is the range of a function?
The range of a function is the set of all possible output values.
Fill in the blank: A _____ function is a polynomial function of degree 2.
quadratic
What is the vertex of a parabola?
The vertex is the highest or lowest point of the parabola.
Multiple Choice: Which equation represents a quadratic function? A) y = 3x + 1 B) y = x^2 - 4 C) y = 5
B) y = x^2 - 4
What is an independent variable?
An independent variable is a variable that represents the input or cause in a function.
What is a dependent variable?
A dependent variable is a variable that represents the output or effect in a function.
True or False: In a linear equation, the graph will always be a curve.
False
Fill in the blank: The _____ of a line is the value of y when x equals zero.
y-intercept
What is the standard form of a linear equation?
Ax + By = C
Multiple Choice: What type of function is represented by the equation y = 2^x? A) Linear B) Exponential C) Quadratic
B) Exponential
What does it mean for two equations to be equivalent?
Two equations are equivalent if they have the same solution set.
What is a system of equations?
A system of equations is a set of two or more equations with the same variables.
True or False: A system of equations can have no solution.
True
What is the method of substitution in solving systems of equations?
The method of substitution involves solving one equation for one variable and substituting that expression into the other equation.
