FREE
Algebra 1 Practice Tests

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Free Algebra 1 Diagnostic Tests

Take the Varsity Learning Tools free diagnostic test for Algebra 1 to determine which academic concepts you understand and which ones require your ongoing attention. Each Algebra 1 problem is tagged down to the core, underlying concept that is being tested. The Algebra 1 diagnostic test results highlight how you performed on each area of the test. You can then utilize the results to create a personalized study plan that is based on your particular area of need.

Algebra 1 Diagnostic Test 1

Questions: 60
Test Difficulty:
Average Time Spent: 1 hrs 2 mins

Algebra 1 Diagnostic Test 2

Questions: 60
Test Difficulty:
Average Time Spent: 1 hrs 23 mins

Algebra 1 Diagnostic Test 3

Questions: 60
Test Difficulty:
Average Time Spent: 1 hrs 48 mins

Algebra 1 Diagnostic Test 4

Questions: 50
Test Difficulty:
Average Time Spent: 1 hrs 57 mins

Algebra 1 Diagnostic Test 5

Questions: 40
Test Difficulty:
Average Time Spent: 2 hrs 27 mins

Algebra 1 Diagnostic Test 6

Questions: 40
Test Difficulty:
Average Time Spent: 3 hrs 7 mins

Algebra 1 Diagnostic Test 7

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 39 mins

Algebra 1 Diagnostic Test 8

Questions: 40
Test Difficulty:
Average Time Spent: 3 hrs 12 mins

Algebra 1 Diagnostic Test 9

Questions: 40
Test Difficulty:
Average Time Spent: 3 hrs 25 mins

Algebra 1 Diagnostic Test 10

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 37 mins

Free Algebra 1 Practice Tests

Our completely free Algebra 1 practice tests are the perfect way to brush up your skills. Take one of our many Algebra 1 practice tests for a run-through of commonly asked questions. You will receive incredibly detailed scoring results at the end of your Algebra 1 practice test to help you identify your strengths and weaknesses. Pick one of our Algebra 1 practice tests now and begin!

Practice Tests by Concept

Distributive property practice test

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 56 mins

How to use foil in the distributive property practice test

Questions: 40
Test Difficulty:
Average Time Spent: 30 mins

How to use the grid method for foil practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 22 secs

Equations / inequalities practice test

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 15 mins

Systems of equations practice test

Questions: 40
Test Difficulty:
Average Time Spent: 49 mins

Equations / solution sets practice test

Questions: 40
Test Difficulty:
Average Time Spent: 42 mins

How to factor an equation practice test

Questions: 9
Test Difficulty:
Average Time Spent: 3 hrs 4 mins

How to find a solution set practice test

Questions: 15
Test Difficulty:
Average Time Spent: 48 mins

How to find the solution for a system of equations practice test

Questions: 32
Test Difficulty:
Average Time Spent: 34 mins

Linear / rational / variable equations practice test

Questions: 32
Test Difficulty:
Average Time Spent: 16 mins

How to find out when an equation has no solution practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 44 secs

How to find the solution to a rational equation with lcd practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

How to find the solution to an equation practice test

Questions: 30
Test Difficulty:
Average Time Spent: 49 mins

Quadratic equations practice test

Questions: 36
Test Difficulty:
Average Time Spent: 29 mins

How to factor the quadratic equation practice test

Questions: 8
Test Difficulty:
Average Time Spent: 9 mins

How to find the solution to a quadratic equation practice test

Questions: 28
Test Difficulty:
Average Time Spent: 28 mins

Systems of inequalities practice test

Questions: 35
Test Difficulty:
Average Time Spent: 1 hrs 9 mins

How to find the solution to an inequality with addition practice test

Questions: 8
Test Difficulty:
Average Time Spent: 54 mins

How to find the solution to an inequality with division practice test

Questions: 17
Test Difficulty:
Average Time Spent: 8 mins

How to find the solution to an inequality with multiplication practice test

Questions: 8
Test Difficulty:
Average Time Spent: 5 mins

How to find the solution to an inequality with subtraction practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Functions and lines practice test

Questions: 40
Test Difficulty:
Average Time Spent: 53 mins

Algebraic functions practice test

Questions: 40
Test Difficulty:
Average Time Spent: 7 mins

How to find direct variation practice test

Questions: 7
Test Difficulty:
Average Time Spent: 5 mins

How to find f(x) practice test

Questions: 40
Test Difficulty:
Average Time Spent: 24 mins

How to find inverse variation practice test

Questions: 13
Test Difficulty:
Average Time Spent: 17 mins

How to find the domain of a function practice test

Questions: 13
Test Difficulty:
Average Time Spent: 10 mins

How to use the quadratic function practice test

Questions: 5
Test Difficulty:
Average Time Spent: 9 mins

Equations of lines practice test

Questions: 40
Test Difficulty:
Average Time Spent: 11 mins

Midpoint formula practice test

Questions: 25
Test Difficulty:
Average Time Spent: 9 mins

How to find the endpoints of a line segment practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 6 secs

How to find the midpoint of a line segment practice test

Questions: 24
Test Difficulty:
Average Time Spent: 12 mins

Parallel lines practice test

Questions: 26
Test Difficulty:
Average Time Spent: 9 mins

How to find out if lines are parallel practice test

Questions: 17
Test Difficulty:
Average Time Spent: 11 mins

How to find the equation of a parallel line practice test

Questions: 5
Test Difficulty:
Average Time Spent: 3 mins

How to find the slope of parallel lines practice test

Questions: 4
Test Difficulty:
Average Time Spent: 2 hrs 10 mins

Perpendicular lines practice test

Questions: 26
Test Difficulty:
Average Time Spent: 7 mins

How to find out if lines are perpendicular practice test

Questions: 7
Test Difficulty:
Average Time Spent: 16 mins

How to find the equation of a perpendicular line practice test

Questions: 8
Test Difficulty:
Average Time Spent: 4 mins

How to find the slope of perpendicular lines practice test

Questions: 11
Test Difficulty:
Average Time Spent: 5 mins

Points and distance formula practice test

Questions: 13
Test Difficulty:
Average Time Spent: 6 mins

How to find out if a point is on a line with an equation practice test

Questions: 9
Test Difficulty:
Average Time Spent: 8 mins

How to find the length of a line with distance formula practice test

Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 35 secs

Slope and line equations practice test

Questions: 40
Test Difficulty:
Average Time Spent: 19 mins

How to find slope of a line practice test

Questions: 27
Test Difficulty:
Average Time Spent: 15 mins

How to find the equation of a line practice test

Questions: 27
Test Difficulty:
Average Time Spent: 18 mins

Graphing practice test

Questions: 26
Test Difficulty:
Average Time Spent: 8 mins

How to graph a function practice test

Questions: 3
Test Difficulty:
Average Time Spent: 43 secs

How to graph a line practice test

Questions: 6
Test Difficulty:
Average Time Spent: 3 mins

How to graph a point practice test

Questions: 2
Test Difficulty:
Average Time Spent: 6 mins

How to graph a quadratic function practice test

Questions: 6
Test Difficulty:
Average Time Spent: 4 mins

How to graph a two-step inequality practice test

Questions: 1
Test Difficulty:

How to graph an absolute value function practice test

Questions: 3
Test Difficulty:
Average Time Spent: 6 mins

How to graph an exponential function practice test

Questions: 2
Test Difficulty:
Average Time Spent: 41 secs

How to graph an ordered pair practice test

Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 5 secs

Sequences practice test

Questions: 21
Test Difficulty:
Average Time Spent: 12 mins

How to find consecutive integers practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 24 secs

How to find the answer to an arithmetic sequence practice test

Questions: 1
Test Difficulty:
Average Time Spent: 17 secs

How to find the common difference in sequences practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 21 secs

How to find the next term in an arithmetic sequence practice test

Questions: 4
Test Difficulty:
Average Time Spent: 5 mins

How to find the nth term of an arithmetic sequence practice test

Questions: 11
Test Difficulty:
Average Time Spent: 51 mins

Linear equations practice test

Questions: 40
Test Difficulty:
Average Time Spent: 13 mins

Converting measurements practice test

Questions: 14
Test Difficulty:
Average Time Spent: 8 mins

How to solve absolute value equations practice test

Questions: 19
Test Difficulty:
Average Time Spent: 14 mins

How to solve one-step equations practice test

Questions: 18
Test Difficulty:
Average Time Spent: 23 mins

How to solve two-step equations practice test

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 48 mins

How to write expressions and equations practice test

Questions: 37
Test Difficulty:
Average Time Spent: 7 mins

Percents practice test

Questions: 5
Test Difficulty:
Average Time Spent: 1 mins 42 secs

Proportions practice test

Questions: 16
Test Difficulty:
Average Time Spent: 15 mins

Linear inequalities practice test

Questions: 28
Test Difficulty:
Average Time Spent: 8 mins

Absolute value inequalities practice test

Questions: 10
Test Difficulty:
Average Time Spent: 15 mins

Graphing inequalities practice test

Questions: 8
Test Difficulty:
Average Time Spent: 8 mins

Writing inequalities practice test

Questions: 10
Test Difficulty:
Average Time Spent: 11 mins

Percents practice test

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 40 mins

Decimals and percentage practice test

Questions: 10
Test Difficulty:
Average Time Spent: 3 mins

How to find decimal equivalent to a percentage practice test

Questions: 5
Test Difficulty:
Average Time Spent: 4 mins

How to find percentage equivalent to a decimal practice test

Questions: 5
Test Difficulty:
Average Time Spent: 42 secs

Fractions and percentage practice test

Questions: 29
Test Difficulty:
Average Time Spent: 16 mins

How to find a fraction from a percentage practice test

Questions: 6
Test Difficulty:
Average Time Spent: 5 mins

How to find fractional percentages practice test

Questions: 8
Test Difficulty:
Average Time Spent: 5 mins

How to find percentage from a fraction practice test

Questions: 15
Test Difficulty:
Average Time Spent: 32 secs

Monetary percentage practice test

Questions: 40
Test Difficulty:
Average Time Spent: 4 mins

How to find amount of profit practice test

Questions: 8
Test Difficulty:
Average Time Spent: 3 mins

How to find simple interest practice test

Questions: 6
Test Difficulty:
Average Time Spent: 42 secs

How to find the amount of sales tax practice test

Questions: 11
Test Difficulty:
Average Time Spent: 16 mins

How to find the sale price practice test

Questions: 23
Test Difficulty:
Average Time Spent: 12 mins

Percent of change practice test

Questions: 21
Test Difficulty:
Average Time Spent: 12 mins

How to find the percent of decrease practice test

Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 44 secs

How to find the percent of increase practice test

Questions: 17
Test Difficulty:
Average Time Spent: 3 mins

Whole and part practice test

Questions: 14
Test Difficulty:
Average Time Spent: 2 mins 20 secs

How to find the part from the whole with percentage practice test

Questions: 6
Test Difficulty:
Average Time Spent: 7 secs

How to find the whole from the part with percentage practice test

Questions: 8
Test Difficulty:
Average Time Spent: 4 mins

Real numbers practice test

Questions: 40
Test Difficulty:
Average Time Spent: 2 d 4 hrs

Counting / sets practice test

Questions: 11
Test Difficulty:
Average Time Spent: 4 hrs 51 mins

How to find the missing number in a set practice test

Questions: 5
Test Difficulty:
Average Time Spent: 17 mins

How to find the number of integers between two other integers practice test

Questions: 6
Test Difficulty:
Average Time Spent: 3 mins

Integer operations practice test

Questions: 40
Test Difficulty:
Average Time Spent: 11 mins

How to add integers practice test

Questions: 10
Test Difficulty:
Average Time Spent: 2 mins 53 secs

How to divide integers practice test

Questions: 5
Test Difficulty:
Average Time Spent: 1 mins 0 secs

How to multiply integers practice test

Questions: 25
Test Difficulty:
Average Time Spent: 11 mins

How to subtract integers practice test

Questions: 1
Test Difficulty:
Average Time Spent: 7 secs

Number lines and absolute value practice test

Questions: 9
Test Difficulty:
Average Time Spent: 3 mins

How to find absolute value practice test

Questions: 6
Test Difficulty:
Average Time Spent: 1 mins 56 secs

How to find value with a number line practice test

Questions: 1
Test Difficulty:
Average Time Spent: 45 secs

How to graph an inequality with a number line practice test

Questions: 2
Test Difficulty:
Average Time Spent: 51 secs

How to plot fractions on a number line practice test

Questions: 1
Test Difficulty:

Statistics and probability practice test

Questions: 40
Test Difficulty:
Average Time Spent: 17 mins

How to find interquartile range practice test

Questions: 2
Test Difficulty:
Average Time Spent: 5 mins

How to find mean practice test

Questions: 40
Test Difficulty:
Average Time Spent: 11 mins

How to find median practice test

Questions: 19
Test Difficulty:
Average Time Spent: 16 mins

How to find mode practice test

Questions: 12
Test Difficulty:
Average Time Spent: 2 mins 10 secs

How to find range practice test

Questions: 8
Test Difficulty:
Average Time Spent: 4 mins

How to find standard deviation practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 44 secs

Variables practice test

Questions: 40
Test Difficulty:
Average Time Spent: 18 mins

Monomials practice test

Questions: 28
Test Difficulty:
Average Time Spent: 13 mins

How to divide monomial quotients practice test

Questions: 12
Test Difficulty:
Average Time Spent: 9 mins

How to multiply a monomial by a polynomial practice test

Questions: 15
Test Difficulty:
Average Time Spent: 7 mins

How to multiply monomial quotients practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 49 secs

Polynomials practice test

Questions: 40
Test Difficulty:
Average Time Spent: 21 mins

Binomials practice test

Questions: 13
Test Difficulty:
Average Time Spent: 23 mins

How to find the solution of a rational equation with a binomial denominator practice test

Questions: 6
Test Difficulty:
Average Time Spent: 5 mins

How to find the solution to a binomial problem practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 11 secs

How to find the value of the coefficient practice test

Questions: 6
Test Difficulty:
Average Time Spent: 1 mins 3 secs

How to multiply binomials with the distributive property practice test

Questions: 6
Test Difficulty:
Average Time Spent: 3 mins

How to simplify binomials practice test

Questions: 1
Test Difficulty:
Average Time Spent: 35 secs

Factoring polynomials practice test

Questions: 40
Test Difficulty:
Average Time Spent: 22 mins

How to factor a polynomial practice test

Questions: 40
Test Difficulty:
Average Time Spent: 9 mins

How to factor a variable practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 28 secs

Polynomial operations practice test

Questions: 40
Test Difficulty:
Average Time Spent: 3 hrs 30 mins

How to add polynomials practice test

Questions: 11
Test Difficulty:
Average Time Spent: 16 mins

How to divide polynomials practice test

Questions: 23
Test Difficulty:
Average Time Spent: 14 mins

How to find the degree of a polynomial practice test

Questions: 7
Test Difficulty:
Average Time Spent: 2 mins 0 secs

How to multiply polynomials practice test

Questions: 14
Test Difficulty:
Average Time Spent: 13 mins

How to subtract polynomials practice test

Questions: 12
Test Difficulty:
Average Time Spent: 36 mins

Trinomials practice test

Questions: 14
Test Difficulty:
Average Time Spent: 6 mins

How to add trinomials practice test

Questions: 2
Test Difficulty:
Average Time Spent: 8 mins

How to divide trinomials practice test

Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 14 secs

How to factor a trinomial practice test

Questions: 9
Test Difficulty:
Average Time Spent: 5 mins

How to multiply trinomials practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

How to subtract trinomials practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 30 secs

Algebra I is a course designed to give students a firm understanding of mathematical equations that involve variables, as well as to teach them the basics of graphing and manipulating simple functions. Students typically take Algebra I around eighth or ninth grade, though some may take the class earlier or later, after they have had a course in Pre-Algebra, but before attempting such topics as Algebra II, Geometry, or more difficult math classes. By establishing solid footing in Algebra I, students can prepare themselves for success in later math and science courses, all of which assume knowledge of algebraic concepts. Whether you need top Algebra 1 tutors in BostonAlgebra 1 tutors in Detroit, or top Algebra 1 tutors in Dallas Fort Worth, working with a pro may take your studies to the next level.

Typically, the first thing students learn how to do in Algebra I is solve a single-variable equation—that is, an equation in which there is only one variable, “x.” Students then learn to graph linear functions in the “y = mx + b” format; this part of the course introduces the concepts of slope, y-intercept, and x-intercept, and teaches students to graph linear equations. A major part of Algebra I is learning to convert information from equations to graphs and from graphs to equations, and understanding how to analyze equations and graphs as related concepts is a core part of the course. For instance, certain problems in Algebra I may present students with two points on a coordinate plane, then ask them to find the equation of the line that connects the two points, determining the equations of lines that are parallel and perpendicular to that line, respectively. Varsity Tutors offers resources like free Algebra 1 Diagnostic Tests to help with your self-paced study, or you may want to consider an Algebra 1 tutor.

Inequalities are also taught in Algebra I in the same manner as equations—that is, with an emphasis on representing them on number lines or graphing them. After learning to solve and graph simple linear functions and inequalities, students learn how to solve systems of equations or inequalities using substitution and elimination techniques.

Once students have mastered linear equations, the class moves on to tackle quadratic equations, the graphs of which form parabolas. Algebra I focuses on solving quadratic functions using the quadratic formula and FOIL, as well as graphing parabolas and manipulating their appearance through changes made to the source equation.

Other concepts that may be introduced at various points within Algebra I classes are statistics and probability, percent, and percent change. While not directly related to the overarching ideas of equations, functions, and graphs, these concepts may be taught in a way that mirrors the back-and-forth logic used to teach students about functions and their graphs. For instance, a focus when learning percents is how to convert a percent to a decimal and vice versa, and when expressing the probability of an event occurring, students also necessarily figure out the probability of the event not occurring.

The mathematical concepts that students master in Algebra I form the core of their mathematical understanding in many later classes in math and the sciences. For this reason, it is crucial that students gain a solid understanding of algebraic concepts before proceeding to higher-level math classes. If you’d like to start learning or reviewing Algebra I material right now, you can use Varsity Tutors’ free Algebra I Practice Tests to do so. Each twelve-question Practice Test is given like a short multiple-choice quiz touching on many concepts that are taught in Algebra I classes. After completing a quiz, you not only get to see your raw score, but also how your score stacks up against others’ scores on a question-by-question basis. This can provide some solace if you miss problems that others also found extremely difficult, or some motivation if you notice that you miss questions others found to be easy. All of Varsity Tutors’ Algebra I questions also come with complete explanations, so you can learn from questions that you get wrong. In addition to the Algebra 1 Practice Tests and Algebra 1 tutoring, you may also want to consider taking some of our Algebra 1 Flashcards.

You might also like to kick off the review process by taking a free Full-Length Algebra I Practice Test. The extended format of these practice tests can aid you in discovering your current proficiency level and test-taking pace. After you finish the test, the results page will provide you with the same informative metrics, thorough explanations, and additional review resources offered by the concept-specific Practice Tests. These online practice tests can also help you fine-tune your customized Algebra I study plan by showing you which concepts need the most attention. After you spend some time on review, you can assess your progress by returning to take another Full-Length Algebra I Practice Test.

By using Varsity Tutors’ free Algebra I Practice Tests and other free Algebra I resources, you can bolster your Algebra I knowledge and master the subject’s content in no time! This will give you a great foundation for the mathematical and scientific knowledge you will gain in future courses.
 

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