The Top 5 Most Common Questions Asked On The Regents Algebra 1 Exam
In order to pass the Regents Algebra 1 exam, you likely want to know which specific questions are most commonly asked on the test. Well, our Albert math team has done the work for you!
We analyzed hundreds of official questions from the most recent Regents Algebra 1 exams to find the trends among the math topics and standards most frequently assessed. Check out the results below:
|#1 Most Common Question:|
Identify Features Of Graphs Visually
Visual learners, this ones for you. Identify the domain, range, vertex, and intercepts of any function by graphing it in your calculator. Enter the function in the Y= utility and hit Graph. Then, use the arrow keys to see the x and y values of different points on the line or curve.
Note: you may have to adjust the size of the coordinate plane using the WINDOW function.
Hack #3 Lookout For Not
Almost every Regents Algebra 1 exam includes at least one tricky question that includes the word not in the prompt. It is always helpful to have a consistent annotation strategy, including circling the word notanytime it shows up on a question.
For example, here is a prompt from the 2019 Regents Algebra 1 exam:
Be extra careful when you read each question to make sure you dont fall for any of the tricks like this that the exam tries to pull!
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Identify Equivalent Expressions With Your Calculators Table Function
Sure, you can add, subtract, multiply, and even factor polynomial expressions. However, this creates tons of opportunities for human error.
Try entering the given expression and each answer choice as equations in your calculators Y= function. Then, hit TABLE to check the tables of each equation against one another. If two tables have equivalent x and y values, their equations are equivalent as well.
Verify Your Variables With Plug And Chug
Lets face it solving complex equations can trip up even Algebra 1 all-stars. Its so easy to miss a negative sign or make a mental math mistake.
You can double check your computations or use the guess and check method to ensure your answer is correct. Simply substitute each possible value for the variable in the original equation to find what works.
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If Your Prompt Says Domain Or Range Think About Inputs And Outputs
The domain of a function is the set of possible inputs, or x-values. The range of a function is the set of outputs, or y-values, for each input.
Hint: you can remember the difference between domain and range with help from the alphabet. D comes before R just like x comes before y.
To find the domain and range of a function, consider its input and output values from a table, graph, equation, or solution set. This is another great opportunity to take advantage of our graphing calculator tips and tricks.
Evaluate Functions In A Snap
Recall that f is the output value for an input of x. So, we can evaluate f by substituting -3 for each variable in the function. The output is f. You can do this by hand, but using your graphing calculator will save you time and ensure accuracy. Dont lose points over a silly mistake.
If Your Prompt Says Equivalent Think About Rewriting Equations
Equivalent is a common math term synonymous with equal or the same. In the Algebra 1 Regents, we usually are asked to identify equivalent expressions or functions.
This means that we might need to factor, use the distributive property, and combine like terms to rewrite a given expression or equation in another form.
You can also refer to our graphing calculator tips and tricks for ways to verify that two equations are indeed equivalent.
If Your Prompt Says Solution Think About The Value Of The Variable
We often use the word solution to mean the same thing as answer. However, in the Algebra 1 Regents, solution refers to the value of the variable in an equation.
We can find an equations solution by isolating the variable in an equation, usually by using inverse operations. Remember, subtraction and addition undo one another, as do multiplication and division.
The great thing about solution problems is that you can check your work to ensure your answer is correct. When youve found the value of a variable, substitute it back into the original equation and simplify. If the resulting equation is true , youve got the right answer! If the resulting equation is false , youve made a mistake. Double check your work to see where you went wrong.
But wait: a solution doesnt always refer to one value. The solution to a system of equations in two variables will be in the form . The solution to an inequality can include a range of values.
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If Your Prompt Says Shift Think About Function Transformations
When a parent function, or original function, is transformed, its graph is shifted up, down, left, or right on the coordinate plane.
Function transformations can get a little tricky, but these basic guidelines will help you solve most problems. Given a function f:
- Addition inside parentheses means a shift left. So, f means f shifts 3\text left.
- Subtraction inside parentheses means a shift right. So, f means f shifts 3\text right.
- Addition outside parentheses means a shift up. So, f+5 means f shifts 5\text up.
- Subtraction outside parentheses means a shift down. So, f-5 means f shifts 5\text down.
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If Your Prompt Says Zeros Or Roots Think About The X
When we solve a polynomial equation, we are finding its x values when y=0. There are multiple names for these values, including zeros and roots.
You have many options on how to tackle these kinds of problems. You can factor the expression, complete the square, use the quadratic formula, or solve by graphing. We recommend using our graphing calculator tips and tricks to get started.
Once you have a graph of your function, finding the roots is easy. Just identify any points where the graph crosses the x-axis.
Hack #2 Watch Your Units
Most Regents Algebra 1 exams include at least one real-world constructed response question that requires unit conversion. For any question that mentions units , you should pay close attention to how the question wants you to state your final answer.
Heres an example Regents question that requires careful attention to units:
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Hack #3 Start With Your Strengths
Before immediately diving into answering all the constructed response questions, you could quickly skim all the questions to find the ones you feel most confident answering. This will help you feel motivated as you begin the constructed response questions and will allow you extra time for the questions that will take you longer to solve.
If you decide to answer questions in your own order for the exam, just be sure you answer all questions provided.
Remember: You should never leave a constructed response answer completely blank.
Key Algebra 1 Regents Question Vocabulary
Heres the unfortunate truth: some students struggle on math assessments because they have trouble reading and comprehending lengthy word problems. To best prepare for the Algebra 1 Regents exam, practice some strategic reading strategies specific to mathematics.
Still not feeling confident about your literacy skills? Weve analyzed released Algebra 1 Regents exams to find the most common words and phrases used in prompts. Follow our guide to get comfortable with some key Algebra 1 Regents vocabulary:
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Identify Irrational Numbers In One Easy Step
Having trouble keeping the definitions of rational and irrational numbers straight? Weve got you covered.To test if an expression is rational or irrational, just enter it into your calculator and hit Math Frac. If it converts into a fraction, its rational. If it remains a decimal, its irrational.
Hack #4 Answer Everything
The Regents Algebra 1 exam does not subtract points from your score if you get an answer wrong. This means you should be sure to answer every single multiple choice question .
However, this doesnt mean you should just answer randomly for questions that you are unsure about. Use the strategies weve listed above especially process of elimination to give yourself the best chance possible to earn the credits you need to pass the exam.
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Hack #2 Constantly Think: Is My Answer Reasonable
Once youve selected your answer for each question, you should always double check your work. One great way to check your answer is to ask is my answer reasonable? or does my answer make sense?.
For example, if a question is asking you to find the slope of a line that goes up from left to right on a graph and you selected a negative slopeyour answer is not reasonable because the slope must be positive.
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Hack #1 Use Process Of Elimination
Every multiple choice question on the Algebra 1 Regents exam has 4 possible choices. For questions where youre not sure what the correct answer is, try eliminating at least 1-2 of the answer choices that definitely do not make sense.
As you go through each possible answer choice, cross out every option that you know is wrong. If you started with 4 answer options, that means you have a 25% chance of randomly guessing the right answer. If you can eliminate two of the answer choices, that means youve doubled your chances of getting the question correct to 50%!
Hack #1 Show As Much Work As Possible
The beauty of constructed response questions is that you can earn partial credit for answers even if you arent 100% correct. This means you should always write down anything you think might be relevant to solving the problem. The more accurate thinking you demonstrate on your exam, the more likely it is the grader will be able to award you credits for your answer.
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Find Equivalent Functions By Comparing Graphs
Dont be intimidated by quadratic or exponential functions. They may look complicated, but just remember that equivalent functions mean identical graphs.
Enter two functions into your calculators Y= utility. Then, compare their graphs to see if they match up. Same graph, equivalent function.
Note: you may have to adjust the size of the coordinate plane using the WINDOW function.