What is (3x² − 4x + 7) − (x² + 2x − 5)?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.2a
What is the product (3x + 2)(x − 4)?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.2b
What is the quotient (x² + 7x + 12) ÷ (x + 3), for x ≠ −3?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.2d
What is the value of |2x − 9| + √(x + 11) when x = −2?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.1b
What is the value of ∛a − b² when a = −27 and b = 4?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.1b
What is √8 + √50 in simplest form?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.4c
What is √48 in simplest radical form?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.4a
Which expression is equivalent to (12a⁵b²) ÷ (4a²b⁶), for a ≠ 0 and b ≠ 0?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.3b
Which expression is equivalent to ∛125?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.4d
Which expression represents "five less than twice a number n"?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.1a
Which is the complete factorization of 3x² − 12?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.2c
Which is the factored form of x² − 5x − 24?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EO.2c
Show all 48 questions (36 more)
Equations and Inequalities 18
A ball is thrown upward from the ground. Its height in feet after t seconds is h = −16t² + 48t. After how many seconds does it return to the ground?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.3a
A plumber charges $45 for a visit plus $60 for each hour of work. A bill comes to $225. Which equation can be used to find the number of hours h?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.1a
A theater sold 40 tickets for $280. Adult tickets cost $9 and child tickets cost $5. Which system models the number of adult tickets a and child tickets c?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.2a
How is the inequality y ≥ −x + 4 shown on a coordinate plane?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.2e
How many real solutions does x² − 6x + 10 = 0 have?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.3b
How many solutions does the equation 4(x − 2) = 4x + 5 have?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.1e
How many solutions does the system y = 2x + 3 and 2y = 4x + 6 have?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.2c
The perimeter of a rectangle is P = 2l + 2w. Which equation is solved for w?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.1d
Tia has $120 and saves $15 each week. She needs at least $300 for a bicycle. What is the least number of weeks she must save?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.1a and A.EI.1c
What are the solutions of 2x² + 5x − 3 = 0?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.3a
What are the solutions of x² = 20?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.3a
What are the solutions of x² − 9x + 14 = 0?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.3a
What is the solution of 3(2x − 4) = 5x + 9?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.1b
What is the solution of the system 2x + y = 11 and x − y = 4?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.2b
What is the solution of the system y = 3x − 2 and 2x + y = 13?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.2b
What is the solution of −2x + 7 ≤ 15?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.1c
Which ordered pair is a solution of y < 2x − 1?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.2e
Which ordered pair is in the solution set of the system y > x and y ≤ 4?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.EI.2g
Functions and Statistics 18
A colony of bacteria is modeled by f(x) = 5 · 2ˣ, where x is the number of hours. What is f(3)?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.2g
A line of best fit for test scores is y = 6x + 52, where x is hours of study and y is the predicted score. What does the slope mean?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.ST.1g
A table has x-values 0, 1, 2, 3 and y-values 1, 3, 9, 27. Which kind of function fits the table?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.2h
A tossed ball has heights of 0, 6, 8, 6 and 0 feet at 0, 1, 2, 3 and 4 seconds. Which function type would best model the data?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.ST.1d
For f(x) = −3x + 8, what value of x gives f(x) = −7?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.1g
How does the graph of y = x + 4 compare with the graph of the parent function y = x?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.1b
Two phone plans are linear functions of the number of months x. Plan A costs f(x) = 20x + 50 dollars. Plan B costs $80 at 0 months and $230 at 10 months. Which statement is true?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.1h
Using the line of best fit y = 6x + 52, where x is hours of study, what score is predicted for 5 hours of study?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.ST.1f
What are the slope and the y-intercept of the line 3x + 2y = 12?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.1a
What are the zeros of f(x) = (x + 2)(x − 6)?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.2d
What is the range of f(x) = −x² + 9?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.2b
What is the vertex of the graph of f(x) = x² − 6x + 5?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.2b
What is the y-intercept of the graph of y = 3 · 2ˣ?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.2e
Which equation is y − 3 = 2(x + 1) written in slope-intercept form?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.1c
Which equation represents the line perpendicular to y = ½x + 3 that passes through (2, 5)?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.1e
Which equation represents the line that passes through (2, 1) and (6, 9)?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.1d
Which equation represents the vertical line through the point (4, −2)?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.1d
Which relation is a function?Virginia Department of Education, 2023 Mathematics Standards of Learning, Algebra 1, SOL A.F.2a
Original questions for Virginia's end-of-course Algebra 1 SOL test, written from the 2023 Standards of Learning with no released item among them. Unofficial practice, not affiliated with the Virginia Department of Education.
Read the full guide
What the VA SOL Algebra 1 practice test covers
The real test has 48 scored items in three reporting categories, and this practice SOL test for Algebra 1 keeps the same split. Expressions and Operations, 12 items: evaluating expressions, polynomials, factoring, laws of exponents and radicals. Equations and Inequalities, 18: multistep linear equations and inequalities, literal equations, systems, and quadratic equations. Functions and Statistics, 18: linear, quadratic and exponential functions, and curves of best fit.
Algebra 1 SOL study guide: the ten standards
Virginia's 2023 Algebra 1 standards number only ten, a short study guide. A.EO.1 to A.EO.4: expressions, polynomials, exponents, radicals. A.EI.1 to A.EI.3: linear equations and inequalities, systems, quadratics. A.F.1 and A.F.2: linear, then quadratic and exponential functions. A.ST.1: scatterplots and best fit. A missed question names its standard to review.
Check a solution by graphing both sides of the equation and reading where the two graphs cross.
Questions and answers
How many questions are on the Algebra 1 SOL test?
48 operational items count toward the score: 12, 18 and 18 in the three reporting categories. Eight more are field-test items that do not count.
What is a passing score on the Algebra 1 SOL?
Scores run from 0 to 600. A 400 is the minimum for proficient and a 500 is advanced. End-of-course results are reported as Pass/Advanced, Pass/Proficient or Fail/Does Not Meet, so a percent on this page is not an SOL score.
Is there a VDOE Algebra 1 SOL practice test?
The Virginia Department of Education publishes its own SOL practice items for end-of-course Algebra 1 on its SOL Practice Items page. The questions on this page are different: unofficial practice written for this site.
Can you use a calculator on the Algebra 1 SOL?
Yes. The blueprint says Algebra 1 items have the online Desmos Virginia Graphing calculator on the toolbar of the online test.