Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

OR
Sign inSign in with Facebook
Sign inSign in with Google
Quizzes > Mathematics > Algebra

Master Your Algebra 1 Skills - Take the Quiz Now!

Ready to tackle basic algebra questions? Dive into this free algebra practice quiz!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art style illustration of algebra symbols equations functions and inequalities on coral background for a quiz

This Algebra 1 quiz helps you practice and check your skills with equations, functions, and inequalities. Work through quick, scored questions and see your result at once, so you can spot weak spots and focus your review before a test or homework.

Simplify the expression: 2x + 3x.
6x
5x
x
2x
To simplify 2x + 3x, you combine like terms by adding their coefficients: 2 + 3 equals 5, so the result is 5x. Understanding how to combine like terms is foundational in algebra. For more examples on simplifying expressions, see .
Solve for x: x + 5 = 12.
5
7
-7
17
To solve x + 5 = 12, subtract 5 from both sides to isolate x, giving x = 7. This is a basic one-step linear equation. For more practice on one-variable equations, visit .
Evaluate the function f(x) = 2x + 1 at x = 3.
5
6
8
7
To evaluate f(3) for f(x) = 2x + 1, substitute 3 for x: 2(3) + 1 = 6 + 1 = 7. Evaluating functions by substitution is a key skill in algebra. Learn more about function evaluation at .
What is the slope of the line passing through (0, 0) and (4, 2)?
2
-1/2
1/2
4
Slope is rise over run: change in y divided by change in x. Here, (2 - 0)/(4 - 0) = 2/4 = 1/2. Mastering slope calculations is crucial for graphing lines. For more on slope, see .
Solve for x: 2x - 3 = 7.
7
2
5
-5
Add 3 to both sides to get 2x = 10, then divide by 2 yielding x = 5. This is a straightforward two-step equation. For more practice on linear equations, see .
Solve for x: 3(x + 2) = 15.
-3
3
1
5
First distribute: 3x + 6 = 15. Subtract 6 to get 3x = 9, then divide by 3 giving x = 3. This reinforces the distributive property in equations. Review the distributive property at .
What is the y-intercept of the line y = -x + 3?
3
-1
-3
0
In slope-intercept form y = mx + b, b is the y-intercept. Here b = 3, so the line crosses the y-axis at (0,3). Understanding intercepts is key to graphing. More on graphing lines at .
Simplify the product: 4x^2y × 3xy^3.
12x^3y^4
7x^3y^3
12x^2y^3
4x^3y^3
Multiply coefficients (4 × 3 = 12) and add exponents for like bases: x^2 × x = x^(2+1) = x^3, y × y^3 = y^(1+3) = y^4. The result is 12x^3y^4. For more on multiplying polynomials, visit .
Solve the quadratic equation: 2x^2 - 8x + 6 = 0.
x = 2 and x = -1
x = -1 and x = 3
x = 1 and x = 3
x = -3 and x = 1
Use the quadratic formula or factor: 2x^2 - 8x + 6 = 0 factors to 2(x^2 - 4x + 3) = 0, giving (x - 1)(x - 3) = 0, so x = 1 or 3. Understanding both factoring and the quadratic formula is essential. See more at .
Solve the inequality: 2x + 3 ? 7.
x ? 2
x ? -2
x ? 2
x > 2
Subtract 3 from both sides to get 2x ? 4, then divide by 2: x ? 2. Remember that dividing by a positive number leaves the inequality direction unchanged. For more on linear inequalities, see .
Find the inverse of the function f(x) = (x - 2) / 3.
f?¹(x) = (3x - 2)
f?¹(x) = x/3 - 2
f?¹(x) = 3x + 2
f?¹(x) = (x + 2) / 3
To find the inverse, swap x and y: x = (y - 2)/3, then solve for y: y - 2 = 3x, y = 3x + 2. Thus f?¹(x) = 3x + 2. For detailed steps, visit .
Determine the vertex of the parabola f(x) = x^2 - 4x + 4.
(0, 4)
(2, 0)
(-2, 0)
(2, 4)
The vertex of y = ax^2 + bx + c is at ( - b/(2a), f( - b/(2a))). Here a = 1, b = -4, so h = 4/2 = 2, and k = f(2) = 4 - 8 + 4 = 0. Hence the vertex is (2,0). For more on vertices, see .
Solve the absolute value equation: |2x - 3| = 7.
x = -5 or x = 2
x = 7 or x = -3
x = 3 or x = -7
x = 5 or x = -2
Set up two cases: 2x - 3 = 7 gives x = 5; 2x - 3 = -7 gives x = -2. Solving absolute value equations requires considering both positive and negative scenarios. For strategy on absolute value, see .
Solve the compound inequality: 1 < 2x + 1 ? 5.
0 < x ? 2
-1 < x < 2
1 < x ? 3
0 ? x < 2
Subtract 1 from all parts: 0 < 2x ? 4, then divide each part by 2: 0 < x ? 2. Compound inequalities must be solved and simplified across the entire inequality chain. For examples, check .
0
{"name":"Simplify the expression: 2x + 3x.", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"Simplify the expression: 2x + 3x., Solve for x: x + 5 = 12., Evaluate the function f(x) = 2x + 1 at x = 3.","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Solve Linear Equations -

    Apply algebra 1 skills to simplify and solve one-step and multi-step equations with confidence.

  2. Interpret Functions -

    Analyze function notation and graphs to understand relationships between variables in an Algebra I test online format.

  3. Manipulate Inequalities -

    Use algebraic techniques to solve and graph inequalities, mastering basic algebra questions on variable ranges.

  4. Assess Quiz Performance -

    Review your score from the free algebra 1 quiz to pinpoint strengths and areas for improvement.

  5. Identify Knowledge Gaps -

    Recognize specific algebra topics where additional practice is needed to sharpen your algebra practice quiz results.

  6. Boost Math Confidence -

    Build comfort with algebra 1 skills through instant feedback, preparing you for exams and real-world problem solving.

Cheat Sheet

  1. Mastering Linear Equations -

    Linear equations are the backbone of algebra 1 skills; practice isolating variables using inverse operations - e.g., in 2x + 3 = 7, subtract 3 then divide by 2. According to Khan Academy, mastering one-step to multi-step equations boosts confidence and prepares you for harder challenges in your algebra practice quiz.

  2. Graphing Functions in Slope-Intercept Form -

    Functions like y = mx + b form a core topic in basic algebra questions; identify slope (m) and y-intercept (b) to graph quickly. Use the "rise over run" mnemonic and challenge yourself with an Algebra I test online to reinforce your graphing skills.

  3. Solving and Graphing Inequalities -

    Inequalities follow the same rules as equations, but remember to flip the inequality sign when multiplying or dividing by a negative number - e.g., in - 2x > 6, dividing by - 2 gives x < - 3. Graph solutions on a number line with open or closed circles per National Council of Teachers of Mathematics (NCTM) guidelines for clarity.

  4. Factoring Quadratics Efficiently -

    Factoring expressions like x² + 5x + 6 requires finding two numbers that multiply to c and add to b; here 2 and 3 yield (x + 2)(x + 3). Use the FOIL (First, Outer, Inner, Last) method as a memory trick - factoring is a staple of many free algebra 1 quizzes.

  5. Applying Exponent and Radical Rules -

    Exponent rules such as a^m * a^n = a^(m+n) and (a^m)^n = a^(mn) streamline problem-solving and often appear on algebra practice quizzes. Convert between radical and exponential form - √a = a^(1/2) - to simplify expressions, a tip frequently endorsed by university math departments.

Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Algebra Quizzes

Powered by: Quiz Maker