Prepare for the Algebra 1 End of Course (EOC) exam with these practice questions and answers. This comprehensive guide covers all topics tested on state EOC exams.
Q: function
Answer: x-values DO NOT repeat, it passes the vertical line test
Q: domain
Answer: set of all of the possible x-values.
Q: range
Answer: set of all the possible y-values.
Q: variable
Answer: NOT A NUMBER. A letter or symbol that stands for a number.
Q: independent variable
Answer: the INPUT or CAUSE in a situation or problem. It’s the variable YOU CAN control. It’s the X variable.
Q: dependent variable
Answer: the OUTPUT or RESULT in a situation or problem. It’s the variable YOU CANNOT control. It’s the Y variable. In a equation, its the variable BY ITSELF on one side of the = sign.
Q: other names for “x”
Answer: domain, independent variable, input
Q: other names for “y”
Answer: range, dependent variable, output
Q: discrete function (scatter plot)
Answer: data appears as individual points on a graph. Whatever is being graphed cannot be broken down in to smaller pieces.
Q: continuous function
Answer: data appears as a smooth curve on a graph.
Q: graph of a linear function
Answer: is less than, is smaller than, shade below, shade to the left
Q: Quadratic Parent Function (y = x^2)
Answer: is more than, is greater than, is larger than, shade above, shade to the right
Q: graph of exponential decay function
Answer: slope
Q: graph of exponential growth function
Answer: the y-intercept
Q: words for “<“
Answer: the steepness of the line
Q: words for “>”
Answer: moves the line up or down the y-axis.
Q: in y = mx + b, “m” stands for?
Answer: the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run
Q: in y = mx + b, “b” stands for?
Answer: slope = 0
Q: changing the “m” in the slope-intercept form of the equation of a line changes what?
Answer: undefined slope
Q: changing the “b” in the slope-intercept form of the equation of a line changes what?
Answer: the point where the graph crosses the x-axis. It has the coordinates (x, 0)
Q: define slope
Answer: the point where the graph crosses the y-axis. It has the coordinates (0, y)
Q: what slope does a HORIZONTAL line have?
Answer: It is an equation with a <, >, < or =, > or = in the place of the =.
Q: what slope does a VERTICAL line have?
Answer: They are the same
Q: what is the x-intercept?
Answer: They are opposite reciprocals and fraction is flipped. Example: lines with the slopes -2 and 1/2.
Q: what is the y-intercept?
Answer: A line drawn through the points on a scatterplot to estimate the best line through the data.
Q: what is a linear inequality?
Answer: A set of two or more equations with the same variables.
Q: How do the slopes of parallel lines compare?
Answer: where the lines touch or cross
Q: How do the slopes of perdendicular lines compare?
Answer: at the x-intercepts. They are also known as zeros and roots.
Q: What is a line of best fit?
Answer: mathmatical terms that have the SAME variables raised to the SAME exponents.
Q: System of Equations
Answer: Add their coefficients.
Q: What is the SOLUTION of a system of equations?
Answer: ADD them
Q: Where are the solutions of a quadratic function?
Answer: SUBTRACT them
Q: What are “like terms”?
Answer: Slope
Q: How do you combine like terms?
Answer: A whole number, both positive and negative numbers, including zero…. ,-3, -2, -1, 0, 1, 2, 3, ……
Q: How do you MULTIPLE exponents of like variables?
Answer: x = -b ± √(b² – 4ac)/2a
Q: How do you DIVIDE exponents of like variables?
Answer: Maximum is at the highest point of a parabola.Minimum is the lowest point.
Q: What is the “rate of change” on a graph?
Answer: Anytime you multiply or divide by a negative number.
Q: Integer
Answer: Works by solving one of the equations for one of the variables, and then plugging this back into the other equation,
Q: Quadratic Formula
Answer: manipulation is needed in order for x-values or y-values to cancel each other out
Q: Maximum or Minimum
Answer: The intersection of the two half-planes.
Q: When do you flip an inequality symbol?
Answer: These are the same. They can be interchanged with one another. Can also be written with other variables like g(x), p(x), etc.
Q: Substitution Method
Answer: Ex: f(x) = 3x + 4, solve for f(-2). All you do is replace the x with a (-2) and solve. 3(-2) +4 = -2
Q: Elimination Method
Answer: There is a pattern in which you multiply or divide by a common number.
Q: The solution to a system of linear inequalities
Answer: The equations x=0 is the axis of symmetry for a parabola in standard form.
Q: y= and f(x)=
Answer: A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type.
Q: How to solve when written in function notation.
Answer: Over equal intervals, the y-values increase by multiplying or dividing by the same number each time.
Q: Geometric Sequences
Answer: A pattern in which you add a number each time.
Q: Axis of Symmetry
Answer: A pattern in which you multiply or divide each term by the same number.
Q: Linear functions
Answer: A relationship whereas one variable increases, the other also increases, or as one decreases so does the other. Both variables move in the same direction.
Q: Exponential functions y=2^x Where the variable is the exponent.
Answer: The relationship between two variables in which one variable increases as the other variable decreases.
Q: Arithmetic Sequence
Answer: A number between -1 and 1 that tells you if you have a strong or weak correlation. It also lets you know if it is a positive or negative correlation.
Q: Geometric Sequence
Answer: The reason something occurs: EX. The number of ice cream sales is NOT the cause for the increase of shark attacks.
Q: positive correlation
Answer: Multiply a number or variable to everyone inside parenthesis.
Q: negative correlation
Answer: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, etc. The resulting number when you multiply a number times itself. EX: 4 X 4 = 16
Q: Correlation Coefficient
Answer: y=mx +b
Q: Causation
Answer: (y – y) = m (x – x) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.
Q: Distributive Property
Answer: Ax + By = C NO fractions, NO decimals, A has to be positive!
Q: Perfect Squares
Answer: A shift in which a plane figure moves vertically.
Q: Slope-intercept form
Answer: f(x-h)
Q: Point-Slope Form
Answer: y1~mx1+b
Q: Standard Form of a line
Answer: y1~ab^x1
Q: One solution to a Quadratic
Answer: a line that a graph approaches but never crosses, y=0
Q: Two solutions to a Quadratic
Answer: A polynomial with two terms
Q: No Solution to a Quadratic
Answer: The shape of the graph of a quadratic function
Q: solution of an inequality
Answer: the lowest or highest point on a parabola
Q: horizontal shrink
Answer: The highest or lowest output of a quadratic function (the y-coordinate of the vertex)
Q: vertical stretch
Answer: y1~ax1^2+bx1+c
Q: vertical shrink
Answer: a binomial that is multiplied by another binomial to find a product
Q: vertical translation
Answer: ≤ or ≥, can be a solution if on the line
Q: horizontal translation
Answer: < or >, can’t be a solution if on the line