1.
What is an expression?
Correct Answer
D. A formula without an equals sign.
Explanation
An expression is a mathematical statement that does not include an equals sign. It can consist of numbers, variables, and operators such as plus, minus, multiplication, and division. Unlike an equation, which requires an equals sign to show a relationship between two expressions, an expression is simply a mathematical phrase that can be evaluated or simplified. Therefore, the correct answer is "A formula without an equals sign."
2.
Which best describes a quadratic equation?
Correct Answer
D. An equation where x is raised to the second power and that is the highest power on x.
Explanation
A quadratic equation is an equation where x is raised to the second power and that is the highest power on x. This means that the equation can have terms with x raised to the power of 1 or 0, but it cannot have any terms with x raised to a power greater than 2. The other options do not accurately describe a quadratic equation as they either refer to a general equation with something raised to the second power or specific terms in an equation, rather than the overall characteristics of a quadratic equation.
3.
What is a polynomial?
Correct Answer
A. An expression or equation with more that one term.
Explanation
A polynomial is defined as an expression or equation with more than one term. This means that it consists of multiple terms added or subtracted together. Each term in a polynomial can have different variables and exponents, but they are all combined using addition or subtraction. This is in contrast to an expression or equation with only one term, which would not be considered a polynomial. Additionally, the definition of a polynomial does not specify any specific exponent or number of terms, so options 3 and 4 are not accurate explanations.
4.
The roots of a quadratic function tell you what about the function?
Correct Answer
C. Where the graph of the function crosses the x-axis.
Explanation
The roots of a quadratic function represent the values of x for which the function equals zero. In other words, they are the x-coordinates of the points where the graph of the function intersects or crosses the x-axis. Therefore, the correct answer is "Where the graph of the function crosses the x-axis."
5.
A trinomial has _________ terms in it.
Correct Answer
three
3
Explanation
A trinomial is a polynomial with three terms. Therefore, the correct answer is "three" or "3".
6.
Another word for the zero's of a quadratic functions is ___________.
Correct Answer
Solutions
Roots
x-intercepts
x intercepts
Explanation
The correct answer is "solutions, roots, x-intercepts, x intercepts." In mathematics, the zeros of a quadratic function are the values of x where the function equals zero. These values can also be referred to as solutions, roots, x-intercepts, or x intercepts because they represent the points where the graph of the quadratic function intersects the x-axis.
7.
What is the vertex of a quadratic function?
Correct Answer
D. A and B.
Explanation
The vertex of a quadratic function is the point where the graph reaches its maximum or minimum value. In the case of a quadratic function, the vertex can be either the maximum point or the minimum point, depending on whether the parabola opens upwards or downwards. Therefore, the correct answer is A and B, as both options represent the possible positions of the vertex.
8.
What is the axis of symmetry?
Correct Answer
C. The point that if you folded it, it would match up perfectly.
Explanation
The axis of symmetry is the vertical line that divides a parabola into two symmetric halves. If you fold the parabola along this line, the two halves would perfectly match up. Therefore, the correct answer is "The point that if you folded it, it would match up perfectly."
9.
The standard form of a quadratic is like _____________
Correct Answer
ax^2+bx+c
y=ax^2+bx+c
Explanation
The standard form of a quadratic equation is represented as ax^2+bx+c, where a, b, and c are coefficients. This form allows for easy identification of the leading coefficient (a), the coefficient of the linear term (b), and the constant term (c). The equation y=ax^2+bx+c is another way of representing the same quadratic equation in terms of the dependent variable y. Both forms are commonly used in mathematics to solve and analyze quadratic equations.
10.
The greatest common factor in an expression is the __________ thing that divides into every term.
Correct Answer
biggest
Explanation
The greatest common factor in an expression is the largest number or term that can evenly divide into every term of the expression.