Identify the property that justifies the work between Step 2 and Step 3.

Subtraction Property of Equality

A group of children and adults attended the local fair. Which systems of equations could be used to determine the value of a and c?

12a + 8c = 296 29(12a + 8c) = 296

Juan's family is driving from New York City to Richmond. The graph relates the distance in miles from Richmond, y, and travel time in hours, x. What is the best interpretation of the y-intercept in the graph?

The number of hours it takes to drive to New York from Richmond.

The distance from New York to Richmond.

The rate at which you drive in miles/hour.

The distance the family is from New York.

An experiment is conducted where weights are added to a spring which is then measured. Which of the following is true about the relationship between w and s?

There is a direct variation between w and s because s = 3w.

There is a direct variation between w and s because sw = 48.

There is a inverse variation between w and s because s = 3w.

There is a inverse variation between w and s because sw = 48.

Algebra 1 SOL Practice Test

Authored by Kristin Pennebaker

Mathematics

7th - 9th Grade

CCSS covered

Used 404+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

About

This quiz comprehensively covers Algebra 1 concepts appropriate for 9th grade students, focusing on polynomial operations, factoring, radical simplification, linear and quadratic functions, systems of equations, and inequalities. Students need mastery of exponent rules to simplify expressions like rational exponents and negative powers, factoring techniques including difference of squares and quadratic trinomials, and radical operations involving cube roots and square roots with variables. The problems require strong algebraic manipulation skills for solving multi-step equations and inequalities, understanding function notation and evaluation, graphing linear relationships, and interpreting real-world applications through mathematical modeling. Students must demonstrate proficiency in finding intercepts, slopes, and solutions to systems of equations, as well as analyzing function behavior including domain, range, and identifying whether relations represent functions using the vertical line test. Created by Kristin Pennebaker, a Mathematics teacher in the US who teaches grades 7 and 9. This SOL (Standards of Learning) practice test serves as an excellent comprehensive review tool for students preparing for Virginia's standardized Algebra 1 assessment. Teachers can utilize this quiz for end-of-unit reviews, cumulative assessments, or homework assignments to reinforce key algebraic concepts throughout the school year. The varied question formats, including multiple choice problems with real-world contexts like land purchases and trip planning, help students connect abstract mathematical concepts to practical applications. This assessment aligns with Virginia SOL standards A.2 (operations on polynomials), A.3 (factoring), A.4 (equations and inequalities), A.6 (linear functions), A.7 (systems of equations), and A.8 (quadratic functions), making it an ideal formative assessment tool to identify areas where students need additional support before the high-stakes state examination.

Content View

Student View

46 questions

Show all answers

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the simplified form of the following expression?

(2y⁵) ÷ (x⁵)

(22y²) ÷ (x⁷)

(2y²) ÷ (x⁷)

(22y⁵) ÷ (x⁵)

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is √27x⁹y³z⁶ written in simplest radical form?

3x³yz³√3y

3x⁴yz³√3xy

3x³yz²

3x³yz²√9xyz

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

When completely factored, what does 4x² - 11x + 6 equal?

(2x + 2)(2x + 3)

(2x - 2)(2x - 3)

(x + 2)(4x + 3)

(4x - 3)(x - 2)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Hillary is looking to purchase a piece of land to build a library.The rectangular plot of land has a length (∫) that is 25 feet longer than its width (w). The total area of the land is 6600 square feet. Which of the following best models the scenario?

∫ + w = 6600

∫ ⋅ (∫ + 25) = 6600

2 ⋅ (w + 25) = 6600

w ⋅ (w + 25) = 6600

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the quotient of (18x² + 15x - 18) and (3x - 2).

6x² + 9

3(2x + 3)

(2x + 3)(3x - 2)

6x² + 5x - 6

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the simplified form of the following?
[(-2x³) ÷ (y²)]^-3

- [(y⁶) ÷ (8x⁹)]

(6y⁵) ÷ (x⁶)

- [(y⁵) ÷ (6x⁶)]

- [(8x⁹) ÷ (y⁶)]

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following verbal expressions could represent ¹/₂ (√x + 3) - 5y?

one half the square root of three times a number x less the product of 5 and y

one half the square root of three more than a number x less the product of 5 and y

the difference of 5 and a number y and one half of x and three squared

one half the square of a number x and three less the product of 5 and y

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

45 questions

Basic Exponent Practice

Quiz

•

8th - 9th Grade

45 questions

Quarter 2 Review

Quiz

•

8th Grade

50 questions

UJI KOMPETENSI I

Quiz

•

9th Grade

46 questions

العمليات على الأعداد الصحيحة

Quiz

•

7th Grade

50 questions

แบบทดสอบแก้กลางภาค

Quiz

•

6th - 8th Grade

50 questions

1st Mid- Quarter Examination Grade 10 - Elective Math

Quiz

•

8th - 10th Grade

45 questions

Key Features of Linear, Quadratic, Exponential Functions

Quiz

•

9th Grade

50 questions

Cálculo 007

Quiz

•

6th - 7th Grade

Popular Resources on Wayground

8 questions

2 Step Word Problems

Quiz

•

KG - University

20 questions

Comparing Fractions

Quiz

•

4th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Latin Bases claus(clois,clos, clud, clus) and ped

Quiz

•

6th - 8th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

7 questions

The Story of Books

Quiz

•

6th - 8th Grade

Discover more resources for Mathematics

8 questions

2 Step Word Problems

Quiz

•

KG - University

22 questions

distributive property

Quiz

•

7th Grade

20 questions

Slope from a Graph

Quiz

•

8th Grade

20 questions

Laws of Exponents

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

13 questions

8th U5L2 - Intro to Functions

Quiz

•

8th Grade

12 questions

Linear vs NonLinear Functions

Quiz

•

8th Grade

20 questions

Product and Quotient Rule - Exponents

Quiz

•

8th Grade

Algebra 1 SOL Practice Test

What is the simplified form of the following expression?

What is √27x⁹y³z⁶ written in simplest radical form?

When completely factored, what does 4x² - 11x + 6 equal?

Hillary is looking to purchase a piece of land to build a library.The rectangular plot of land has a length (∫) that is 25 feet longer than its width (w). The total area of the land is 6600 square feet. Which of the following best models the scenario?

Find the quotient of (18x² + 15x - 18) and (3x - 2).

What is the simplified form of the following?
[(-2x³) ÷ (y²)]^-3

Which of the following verbal expressions could represent ¹/₂ (√x + 3) - 5y?

A paving company is paving the rectangular student parking lot at Hamilton High School.
⋅ The length of the parking lot can be represented as (5p - 7)
⋅ The width of the parking lot can be represented as (3p + 4)
Which expression represents the area of the parking lot?

Simplify: ∛? = 3∛5

This is Charlie's model.
Which of the following is equivalent to Charlie's model?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Algebra 1 SOL Practice Test

What is the simplified form of the following expression?

What is √27x9y3z6 written in simplest radical form?

When completely factored, what does 4x2 - 11x + 6 equal?

Hillary is looking to purchase a piece of land to build a library.The rectangular plot of land has a length (∫) that is 25 feet longer than its width (w). The total area of the land is 6600 square feet. Which of the following best models the scenario?

Find the quotient of (18x2 + 15x - 18) and (3x - 2).

What is the simplified form of the following?[(-2x3) ÷ (y2)]-3

Which of the following verbal expressions could represent 1/2 (√x + 3) - 5y?

A paving company is paving the rectangular student parking lot at Hamilton High School. ⋅ The length of the parking lot can be represented as (5p - 7) ⋅ The width of the parking lot can be represented as (3p + 4)Which expression represents the area of the parking lot?

Simplify: ∛? = 3∛5

This is Charlie's model. Which of the following is equivalent to Charlie's model?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is √27x⁹y³z⁶ written in simplest radical form?

When completely factored, what does 4x² - 11x + 6 equal?

Find the quotient of (18x² + 15x - 18) and (3x - 2).

What is the simplified form of the following?
[(-2x³) ÷ (y²)]^-3

Which of the following verbal expressions could represent ¹/₂ (√x + 3) - 5y?

A paving company is paving the rectangular student parking lot at Hamilton High School.
⋅ The length of the parking lot can be represented as (5p - 7)
⋅ The width of the parking lot can be represented as (3p + 4)
Which expression represents the area of the parking lot?

This is Charlie's model.
Which of the following is equivalent to Charlie's model?