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 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 Boston, Algebra 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.
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
algebra_1-distributive-property
Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 54 mins
algebra_1-how-to-use-foil-in-the-distributive-property
Questions: 40
Test Difficulty:
Average Time Spent: 37 mins
algebra_1-how-to-use-the-grid-method-for-foil
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 22 secs
algebra_1-equations-inequalities
Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 7 mins
algebra_1-systems-of-equations
Questions: 40
Test Difficulty:
Average Time Spent: 24 mins
algebra_1-equations-solution-sets
Questions: 40
Test Difficulty:
Average Time Spent: 45 mins
algebra_1-how-to-factor-an-equation
Questions: 9
Test Difficulty:
Average Time Spent: 4 hrs 10 mins
algebra_1-how-to-find-a-solution-set
Questions: 15
Test Difficulty:
Average Time Spent: 34 mins
algebra_1-how-to-find-the-solution-for-a-system-of-equations
Questions: 32
Test Difficulty:
Average Time Spent: 16 mins
algebra_1-linear-rational-variable-equations
Questions: 32
Test Difficulty:
Average Time Spent: 13 mins
algebra_1-how-to-find-out-when-an-equation-has-no-solution
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 35 secs
algebra_1-how-to-find-the-solution-to-a-rational-equation-with-lcd
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
algebra_1-how-to-find-the-solution-to-an-equation
Questions: 30
Test Difficulty:
Average Time Spent: 51 mins
algebra_1-quadratic-equations
Questions: 36
Test Difficulty:
Average Time Spent: 15 mins
algebra_1-how-to-factor-the-quadratic-equation
Questions: 8
Test Difficulty:
Average Time Spent: 7 mins
algebra_1-how-to-find-the-solution-to-a-quadratic-equation
Questions: 28
Test Difficulty:
Average Time Spent: 35 mins
algebra_1-systems-of-inequalities
Questions: 35
Test Difficulty:
Average Time Spent: 32 mins
algebra_1-how-to-find-the-solution-to-an-inequality-with-addition
Questions: 8
Test Difficulty:
Average Time Spent: 54 mins
algebra_1-how-to-find-the-solution-to-an-inequality-with-division
Questions: 17
Test Difficulty:
Average Time Spent: 8 mins
algebra_1-how-to-find-the-solution-to-an-inequality-with-multiplication
Questions: 8
Test Difficulty:
Average Time Spent: 7 mins
algebra_1-how-to-find-the-solution-to-an-inequality-with-subtraction
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 19 secs
algebra_1-functions-and-lines
Questions: 40
Test Difficulty:
Average Time Spent: 43 mins
algebra_1-algebraic-functions
Questions: 40
Test Difficulty:
Average Time Spent: 6 mins
algebra_1-how-to-find-direct-variation
Questions: 7
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-how-to-find-f-x
Questions: 40
Test Difficulty:
Average Time Spent: 36 mins
algebra_1-how-to-find-inverse-variation
Questions: 13
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-how-to-find-the-domain-of-a-function
Questions: 13
Test Difficulty:
Average Time Spent: 9 mins
algebra_1-how-to-use-the-quadratic-function
Questions: 5
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-equations-of-lines
Questions: 40
Test Difficulty:
Average Time Spent: 13 mins
algebra_1-midpoint-formula
Questions: 25
Test Difficulty:
Average Time Spent: 7 mins
algebra_1-how-to-find-the-endpoints-of-a-line-segment
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 6 secs
algebra_1-how-to-find-the-midpoint-of-a-line-segment
Questions: 24
Test Difficulty:
Average Time Spent: 12 mins
algebra_1-parallel-lines
Questions: 26
Test Difficulty:
Average Time Spent: 6 mins
algebra_1-how-to-find-out-if-lines-are-parallel
Questions: 17
Test Difficulty:
Average Time Spent: 7 mins
algebra_1-how-to-find-the-equation-of-a-parallel-line
Questions: 5
Test Difficulty:
Average Time Spent: 3 mins
algebra_1-how-to-find-the-slope-of-parallel-lines
Questions: 4
Test Difficulty:
Average Time Spent: 2 hrs 10 mins
algebra_1-perpendicular-lines
Questions: 26
Test Difficulty:
Average Time Spent: 7 mins
algebra_1-how-to-find-out-if-lines-are-perpendicular
Questions: 7
Test Difficulty:
Average Time Spent: 16 mins
algebra_1-how-to-find-the-equation-of-a-perpendicular-line
Questions: 8
Test Difficulty:
Average Time Spent: 4 mins
algebra_1-how-to-find-the-slope-of-perpendicular-lines
Questions: 11
Test Difficulty:
Average Time Spent: 3 mins
algebra_1-points-and-distance-formula
Questions: 13
Test Difficulty:
Average Time Spent: 6 mins
algebra_1-how-to-find-out-if-a-point-is-on-a-line-with-an-equation
Questions: 9
Test Difficulty:
Average Time Spent: 9 mins
algebra_1-how-to-find-the-length-of-a-line-with-distance-formula
Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 35 secs
algebra_1-slope-and-line-equations
Questions: 40
Test Difficulty:
Average Time Spent: 13 mins
algebra_1-how-to-find-slope-of-a-line
Questions: 27
Test Difficulty:
Average Time Spent: 10 mins
algebra_1-how-to-find-the-equation-of-a-line
Questions: 27
Test Difficulty:
Average Time Spent: 1 hrs 35 mins
algebra_1-graphing
Questions: 26
Test Difficulty:
Average Time Spent: 4 mins
algebra_1-how-to-graph-a-function
Questions: 3
Test Difficulty:
Average Time Spent: 43 secs
algebra_1-how-to-graph-a-line
Questions: 6
Test Difficulty:
Average Time Spent: 3 mins
algebra_1-how-to-graph-a-point
Questions: 2
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-how-to-graph-a-quadratic-function
Questions: 6
Test Difficulty:
Average Time Spent: 4 mins
algebra_1-how-to-graph-a-two-step-inequality
Questions: 1
Test Difficulty:
algebra_1-how-to-graph-an-absolute-value-function
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 45 secs
algebra_1-how-to-graph-an-exponential-function
Questions: 2
Test Difficulty:
Average Time Spent: 41 secs
algebra_1-how-to-graph-an-ordered-pair
Questions: 6
Test Difficulty:
Average Time Spent: 11 mins
algebra_1-sequences
Questions: 21
Test Difficulty:
Average Time Spent: 15 mins
algebra_1-how-to-find-consecutive-integers
Questions: 3
Test Difficulty:
Average Time Spent: 21 hrs 1 mins
algebra_1-how-to-find-the-answer-to-an-arithmetic-sequence
Questions: 1
Test Difficulty:
Average Time Spent: 17 secs
algebra_1-how-to-find-the-common-difference-in-sequences
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 21 secs
algebra_1-how-to-find-the-next-term-in-an-arithmetic-sequence
Questions: 4
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-how-to-find-the-nth-term-of-an-arithmetic-sequence
Questions: 11
Test Difficulty:
Average Time Spent: 8 mins
algebra_1-linear-equations
Questions: 40
Test Difficulty:
Average Time Spent: 8 mins
algebra_1-converting-measurements
Questions: 14
Test Difficulty:
Average Time Spent: 7 mins
algebra_1-how-to-solve-absolute-value-equations
Questions: 19
Test Difficulty:
Average Time Spent: 6 mins
algebra_1-how-to-solve-one-step-equations
Questions: 18
Test Difficulty:
Average Time Spent: 19 mins
algebra_1-how-to-solve-two-step-equations
Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 23 mins
algebra_1-how-to-write-expressions-and-equations
Questions: 37
Test Difficulty:
Average Time Spent: 44 mins
algebra_1-percents
Questions: 5
Test Difficulty:
Average Time Spent: 1 mins 42 secs
algebra_1-proportions
Questions: 16
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-linear-inequalities
Questions: 28
Test Difficulty:
Average Time Spent: 9 mins
algebra_1-absolute-value-inequalities
Questions: 10
Test Difficulty:
Average Time Spent: 7 mins
algebra_1-graphing-inequalities
Questions: 8
Test Difficulty:
Average Time Spent: 6 mins
algebra_1-writing-inequalities
Questions: 10
Test Difficulty:
Average Time Spent: 8 mins
algebra_1-percents
Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 55 mins
algebra_1-decimals-and-percentage
Questions: 10
Test Difficulty:
Average Time Spent: 3 mins
algebra_1-how-to-find-decimal-equivalent-to-a-percentage
Questions: 5
Test Difficulty:
Average Time Spent: 4 mins
algebra_1-how-to-find-percentage-equivalent-to-a-decimal
Questions: 5
Test Difficulty:
Average Time Spent: 42 secs
algebra_1-fractions-and-percentage
Questions: 29
Test Difficulty:
Average Time Spent: 8 mins
algebra_1-how-to-find-a-fraction-from-a-percentage
Questions: 6
Test Difficulty:
Average Time Spent: 4 mins
algebra_1-how-to-find-fractional-percentages
Questions: 8
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-how-to-find-percentage-from-a-fraction
Questions: 15
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-monetary-percentage
Questions: 40
Test Difficulty:
Average Time Spent: 7 mins
algebra_1-how-to-find-amount-of-profit
Questions: 8
Test Difficulty:
Average Time Spent: 4 mins
algebra_1-how-to-find-simple-interest
Questions: 6
Test Difficulty:
Average Time Spent: 3 mins
algebra_1-how-to-find-the-amount-of-sales-tax
Questions: 11
Test Difficulty:
Average Time Spent: 16 mins
algebra_1-how-to-find-the-sale-price
Questions: 23
Test Difficulty:
Average Time Spent: 7 mins
algebra_1-percent-of-change
Questions: 21
Test Difficulty:
Average Time Spent: 10 mins
algebra_1-how-to-find-the-percent-of-decrease
Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 44 secs
algebra_1-how-to-find-the-percent-of-increase
Questions: 17
Test Difficulty:
Average Time Spent: 6 mins
algebra_1-whole-and-part
Questions: 14
Test Difficulty:
Average Time Spent: 2 mins 12 secs
algebra_1-how-to-find-the-part-from-the-whole-with-percentage
Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 53 secs
algebra_1-how-to-find-the-whole-from-the-part-with-percentage
Questions: 8
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-real-numbers
Questions: 40
Test Difficulty:
Average Time Spent: 1 d 14 hrs
algebra_1-counting-sets
Questions: 11
Test Difficulty:
Average Time Spent: 2 hrs 5 mins
algebra_1-how-to-find-the-missing-number-in-a-set
Questions: 5
Test Difficulty:
Average Time Spent: 4 mins
algebra_1-how-to-find-the-number-of-integers-between-two-other-integers
Questions: 6
Test Difficulty:
Average Time Spent: 7 mins
algebra_1-integer-operations
Questions: 40
Test Difficulty:
Average Time Spent: 4 hrs 25 mins
algebra_1-how-to-add-integers
Questions: 10
Test Difficulty:
Average Time Spent: 2 mins 57 secs
algebra_1-how-to-divide-integers
Questions: 5
Test Difficulty:
Average Time Spent: 41 secs
algebra_1-how-to-multiply-integers
Questions: 25
Test Difficulty:
Average Time Spent: 17 mins
algebra_1-how-to-subtract-integers
Questions: 1
Test Difficulty:
Average Time Spent: 8 secs
algebra_1-number-lines-and-absolute-value
Questions: 9
Test Difficulty:
Average Time Spent: 3 mins
algebra_1-how-to-find-absolute-value
Questions: 6
Test Difficulty:
Average Time Spent: 1 mins 52 secs
algebra_1-how-to-find-value-with-a-number-line
Questions: 1
Test Difficulty:
Average Time Spent: 45 secs
algebra_1-how-to-graph-an-inequality-with-a-number-line
Questions: 2
Test Difficulty:
Average Time Spent: 51 secs
algebra_1-how-to-plot-fractions-on-a-number-line
Questions: 1
Test Difficulty:
algebra_1-statistics-and-probability
Questions: 40
Test Difficulty:
Average Time Spent: 10 mins
algebra_1-how-to-find-interquartile-range
Questions: 2
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-how-to-find-mean
Questions: 40
Test Difficulty:
Average Time Spent: 2 hrs 14 mins
algebra_1-how-to-find-median
Questions: 19
Test Difficulty:
Average Time Spent: 18 mins
algebra_1-how-to-find-mode
Questions: 12
Test Difficulty:
Average Time Spent: 2 mins 10 secs
algebra_1-how-to-find-range
Questions: 8
Test Difficulty:
Average Time Spent: 4 mins
algebra_1-how-to-find-standard-deviation
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 44 secs
algebra_1-variables
Questions: 40
Test Difficulty:
Average Time Spent: 10 mins
algebra_1-monomials
Questions: 28
Test Difficulty:
Average Time Spent: 14 mins
algebra_1-how-to-divide-monomial-quotients
Questions: 12
Test Difficulty:
Average Time Spent: 9 mins
algebra_1-how-to-multiply-a-monomial-by-a-polynomial
Questions: 15
Test Difficulty:
Average Time Spent: 6 mins
algebra_1-how-to-multiply-monomial-quotients
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 49 secs
algebra_1-polynomials
Questions: 40
Test Difficulty:
Average Time Spent: 25 mins
algebra_1-binomials
Questions: 13
Test Difficulty:
Average Time Spent: 18 mins
algebra_1-how-to-find-the-solution-of-a-rational-equation-with-a-binomial-denominator
Questions: 6
Test Difficulty:
Average Time Spent: 6 mins
algebra_1-how-to-find-the-solution-to-a-binomial-problem
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 11 secs
algebra_1-how-to-find-the-value-of-the-coefficient
Questions: 6
Test Difficulty:
Average Time Spent: 3 mins
algebra_1-how-to-multiply-binomials-with-the-distributive-property
Questions: 6
Test Difficulty:
Average Time Spent: 3 mins
algebra_1-how-to-simplify-binomials
Questions: 1
Test Difficulty:
Average Time Spent: 35 secs
algebra_1-factoring-polynomials
Questions: 40
Test Difficulty:
Average Time Spent: 29 mins
algebra_1-how-to-factor-a-polynomial
Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 43 mins
algebra_1-how-to-factor-a-variable
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 28 secs
algebra_1-polynomial-operations
Questions: 40
Test Difficulty:
Average Time Spent: 3 hrs 19 mins
algebra_1-how-to-add-polynomials
Questions: 11
Test Difficulty:
Average Time Spent: 16 mins
algebra_1-how-to-divide-polynomials
Questions: 23
Test Difficulty:
Average Time Spent: 25 mins
algebra_1-how-to-find-the-degree-of-a-polynomial
Questions: 7
Test Difficulty:
Average Time Spent: 2 mins 9 secs
algebra_1-how-to-multiply-polynomials
Questions: 14
Test Difficulty:
Average Time Spent: 11 mins
algebra_1-how-to-subtract-polynomials
Questions: 12
Test Difficulty:
Average Time Spent: 26 mins
algebra_1-trinomials
Questions: 14
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-how-to-add-trinomials
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
algebra_1-how-to-divide-trinomials
Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 14 secs
algebra_1-how-to-factor-a-trinomial
Questions: 9
Test Difficulty:
Average Time Spent: 5 mins
algebra_1-how-to-multiply-trinomials
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 14 secs
algebra_1-how-to-subtract-trinomials
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 21 secs