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Quizzes > High School Quizzes > Mathematics

Algebra 1 SOL Practice Quiz

Prepare for the SOL test with focused practice

Difficulty: Moderate
Grade: Grade 9
Study OutcomesCheat Sheet
Paper art promoting Algebra Sol Mastery trivia for high school students.

What is the simplified form of 2x + 3x?
2x
6x
5x
3x
Combining like terms involves adding the coefficients of x. Since 2 and 3 add together to 5, the simplified expression is 5x.
Solve for x: x + 7 = 10.
10
17
7
3
Subtracting 7 from both sides of the equation yields x = 3. This demonstrates a basic application of inverse operations.
If x = 2, what is the value of 3x - 4?
2
8
6
4
Substituting x = 2 into the expression gives 3(2) - 4. Simplifying this results in 6 - 4, which equals 2.
Which expression is equivalent to 2(x + 3)?
x + 5
2x + 6
2x + 3
x + 6
Distributing 2 across the terms inside the parentheses, x and 3, yields 2x + 6. This shows proper use of the distributive property.
Solve for x: 2x = 8.
4
8
2
6
Dividing both sides of the equation by 2 isolates x. This results in x = 4, demonstrating a straightforward division step.
Solve for x: 3(x - 2) = 5.
x = 11/3
x = 3
x = 7/3
x = 5
First, distribute 3 to get 3x - 6 = 5, then add 6 to both sides to obtain 3x = 11. Dividing both sides by 3 results in x = 11/3.
Solve for x: -2x + 5 = 1.
x = -4
x = 2
x = -2
x = 4
Subtract 5 from both sides to obtain -2x = -4. Dividing by -2 isolates x and gives x = 2.
Combine like terms: simplify 3x + 2 - 5x + 10.
-8x + 12
8x + 12
2x + 12
-2x + 12
Combine the x terms: 3x - 5x gives -2x, and combine the constant terms: 2 + 10 gives 12. Thus, the simplified expression is -2x + 12.
Solve: 4(x - 3) = 2x + 6.
x = 8
x = 9
x = 10
x = 6
Expanding the left side gives 4x - 12, then set up the equation 4x - 12 = 2x + 6. Solving by combining like terms leads to 2x = 18, so x = 9.
Solve the inequality: 2x - 5 > 3.
x > 8
x > 3
x > 4
x > 5
Add 5 to both sides to obtain 2x > 8, then divide by 2 to find that x > 4. This method correctly isolates the variable in the inequality.
Factor the quadratic expression: x² + 5x + 6.
(x + 3)(x + 4)
(x + 2)(x + 3)
(x - 2)(x - 3)
(x + 1)(x + 6)
To factor the quadratic, find two numbers that multiply to 6 and add to 5. The numbers 2 and 3 satisfy these conditions, giving the factors (x + 2) and (x + 3).
Solve for x: (x/2) + (x/3) = 5.
x = 6
x = 5
x = 10
x = 12
Find a common denominator for the fractions to rewrite the equation as (3x + 2x)/6 = 5, which simplifies to 5x/6 = 5. Multiplying both sides by 6/5 gives x = 6.
Solve the system of equations: x + y = 10 and x - y = 2.
x = 6, y = 4
x = 5, y = 5
x = 4, y = 6
x = 2, y = 8
Adding the two equations eliminates y, resulting in 2x = 12 and thus x = 6. Substituting x = 6 into one of the equations shows that y = 4.
What is the slope of the line represented by the equation 2y = 4x + 6?
3
6
2
4
Divide both sides of the equation by 2 to rewrite it in slope-intercept form: y = 2x + 3. The coefficient of x in this form represents the slope, which is 2.
Evaluate the function f(x) = 2x² - 3x + 1 at x = 3.
8
10
14
12
Substitute x = 3 into the function to obtain 2(3)² - 3(3) + 1, which simplifies to 18 - 9 + 1. The final result is 10 after performing the arithmetic.
Simplify the expression: 4x - 2(3x - 5).
2x + 10
-2x + 10
-2x - 10
2x - 10
First, distribute -2 over the terms in the parentheses to get -6x + 10, then combine with 4x to yield -2x + 10. This demonstrates correct application of the distributive property and combining like terms.
If 5(x - 1) = 3x + 7, what is the value of x?
x = 12
x = 7
x = 6
x = 5
Distribute 5 to obtain 5x - 5 = 3x + 7. Isolate x by subtracting 3x from both sides and adding 5 to both sides, leading to 2x = 12 and therefore x = 6.
Solve for x in the equation: 2(x + 3) = x + 9.
x = 0
x = 6
x = 3
x = 9
Expanding the left side gives 2x + 6, and setting the equation as 2x + 6 = x + 9 leads to x = 3 after subtracting x and 6 from both sides. This is a clear example of solving a simple linear equation.
What is the result of expanding the binomial (x + 4)²?
x² + 8x + 16
x² + 4
x² + 4x + 16
x² + 16
Using the formula (a + b)² = a² + 2ab + b² with a = x and b = 4, the expansion results in x² + 8x + 16. This is the standard result for a squared binomial.
Simplify the expression: (3x² * 2x) / (6x).
2x²
6x³
x
x²
Multiply 3x² by 2x to get 6x³, then divide by 6x. Canceling the common factor of 6x results in x², which is the simplified form.
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Study Outcomes

  1. Analyze linear equations and inequalities using algebraic operations.
  2. Apply factoring techniques to simplify polynomial expressions.
  3. Interpret algebraic functions and their real-life applications.
  4. Solve multi-step problems by strategically applying algebraic concepts.
  5. Evaluate solutions to verify correctness in various problem scenarios.

Algebra 1 SOL Practice Test Cheat Sheet

  1. Order of Operations (PEMDAS) - Keep your math groove smooth by nailing the correct sequence: Parentheses, Exponents, Multiplication/Division (left-to-right), Addition/Subtraction (left-to-right). This method ensures you never get tangled in arithmetic tangles and always get the right answer. Explore the key concepts
  2. Properties of Real Numbers - Get savvy with the Commutative, Associative, Distributive, Identity, and Inverse properties so you can juggle algebraic expressions like a pro. These rules are your toolkit for swapping, grouping, and simplifying with confidence. Dive into real number properties
  3. Exponent Rules - Master the Product, Quotient, Power, Zero, and Negative exponent rules to shrink or expand powers at lightning speed. With these shortcuts, you'll breeze through simplifying expressions that once felt impossible. Grab the exponent formula guide
  4. Solving Linear Equations - Hone your skills in isolating variables by performing inverse operations - just remember to treat both sides of the equation equally! A balanced approach is crucial for cracking any unknown. Practice with linear equations
  5. Factoring Polynomials - Start by hunting down the greatest common factor, then level up with grouping tricks or special products like the difference of squares. Factoring will transform monstrous expressions into friendly factors. Unlock factoring techniques
  6. Rational Expressions - Simplify like a champ by canceling common factors and finding common denominators when adding or subtracting. Conquering these fractional polynomials makes algebra feel like a breeze. Master rational expressions
  7. Radicals & Rational Exponents - Become a root wrangler: convert between radical notation and rational exponents, and simplify those pesky square roots. You'll be ready to tackle equations with radicals in no time. Simplify radicals and exponents
  8. Quadratic Equations - Level up by exploring factoring, completing the square, and the quadratic formula - each path leads to the solution! Having multiple methods in your toolkit is an algebra superpower. Conquer quadratic equations
  9. Functions & Their Graphs - Sketch and interpret graphs of linear, quadratic, and exponential functions to visualize relationships between variables. A picture-perfect graph makes understanding changes a snap. Guide to graphing functions
  10. Inequalities & Absolute Value - Solve and graph inequalities while learning how absolute value flips and stretches your solutions. Mastering these concepts ramps up your problem-solving prowess across diverse math challenges. Tackle inequalities and absolute value
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