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Quizzes > Mathematics

Algebra 1 Quiz: Chapter 1-No Calculator

Quick chapter 1 algebra test-no calculator. Instant results and review.

Editorial: Review CompletedCreated By: Cole EzeiloUpdated Aug 26, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration with free Algebra 1 Chapter 1 Test linear equations variables symbols on golden yellow background

This Algebra 1 quiz helps you check Chapter 1 skills without a calculator, including variables, expressions, and linear equations. See what you know, get instant feedback, and find topics to review before class or a test. For extra practice, try our combine like terms quiz, a quick algebra quiz, or step back with a focused pre algebra practice test.

Which option shows the correct value and also includes the calculation steps for 3x + 5 when x = 4?
33
27
17 (because 3*4 + 5 = 12 + 5 = 17)
17
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Simplify the expression: 4a + 3a.
7
a^7
7a (because like terms add: 4a + 3a = 7a)
12a
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Which property justifies 8 + x = x + 8?
Identity Property of Addition
Commutative Property of Addition (order can change in addition)
Distributive Property
Associative Property of Addition
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Solve for x: x - 9 = 15.
-24
24 (because add 9 to both sides: x = 24)
6
-6
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Translate to an expression: 6 more than twice a number n.
6(n + 2)
2n - 6
2n + 6 (twice n, then add 6)
6n + 2
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Solve for x: 2x + 5 = 19.
-7
-12
7 (subtract 5 then divide by 2)
12
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Evaluate when t = 3: 5t - 2t^2.
-3 (because 5*3 - 2*9 = 15 - 18 = -3)
-9
9
3
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Which option shows the correct simplified result and includes the distribution steps for 7(a - 2) - (3a - 5)?
4a - 9
4a - 19
4a - 9 (distribute: 7a - 14 - 3a + 5 = 4a - 9)
10a - 19
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Solve for n: n/3 - 4 = 2.
6
-18
-6
18 (add 4 then multiply by 3)
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The equation 5(x - 2) = 5x - 10 has no solution.
False
True
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Solve for x: 7x - 4 = 3x + 20.
6 (subtract 3x and add 4: 4x = 24, x = 6)
24
-6
-24
undefined
Identify the property: 6(2 + x) = 12 + 6x.
Associative Property
Additive Inverse Property
Commutative Property
Distributive Property (multiply across the sum)
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Solve with fractions: (x/5) + 2 = 1/5.
x = 9/5
x = -9 (because x/5 = 1/5 - 2 = -9/5, so x = -9)
x = 9
x = -9/5
undefined
Statement about inequalities: If a > b and b > c, then a > c.
True
False
undefined
Evaluate: 2|x| when x = -7.
14 (| -7 | = 7; then 2*7 = 14)
-7/2
7
-14
undefined
Find the missing value: If y = mx + b and b = 0, the line passes through the origin.
True
False
undefined
Solve with decimals: 1.5x - 0.2 = 0.8x + 1.9.
x = -2.1
x = 3
x = 2.1 (because 0.7x = 2.1)
No solution
undefined
Statement about absolute value: |x| = -3 has no real solution.
True
False
undefined
Evaluate a nested operation: 2[3(4 - 1) - 5].
8 (3*3 = 9; 9 - 5 = 4; 2*4 = 8)
1
13
7
undefined
Compute 2[3(4 - 1) - 5] correctly.
8 (3*3 = 9; 9 - 5 = 4; 2*4 = 8)
-8
7
14
undefined
0

Study Outcomes

  1. Understand Variables and Expressions -

    Grasp the role of variables and algebraic expressions to interpret and translate real-world scenarios into mathematical form during the Algebra 1 Chapter 1 Test.

  2. Solve Linear Equations -

    Apply one-step and two-step techniques to solve linear equations accurately without a calculator, boosting confidence in basic algebraic problem-solving.

  3. Simplify Algebraic Expressions -

    Use the distributive property and combine like terms to simplify expressions efficiently, strengthening foundational skills in chapter 1 algebra practice.

  4. Identify Equation Components -

    Recognize coefficients, constants, and variables within an equation to better understand equation structure and improve accuracy on the quiz.

  5. Apply Algebraic Operations -

    Execute addition, subtraction, multiplication, and division on algebraic expressions confidently, ensuring mastery of basic operations on the no calculator algebra review.

  6. Evaluate Solution Accuracy -

    Check and verify your answers to detect and correct common mistakes, ensuring a deeper understanding and a higher score on the Algebra I Chapter 1 Test.

Cheat Sheet

  1. Variables, Constants, and Expressions -

    Variables represent unknowns and constants are fixed numbers; for instance, in 5x + 7 = 27, x is the variable and 7 is the constant. Grasping this distinction lays the foundation for your algebra 1 chapter 1 test and helps you read any algebraic expression. (Source: Khan Academy)

  2. Distributive Property and Combining Like Terms -

    The distributive property a(b + c) = ab + ac lets you simplify expressions like 3(x + 4) into 3x + 12, while combining like terms merges 2x + 5x into 7x. Mastering these steps speeds up your chapter 1 algebra practice and prevents common mistakes on a basic algebra quiz. (According to MathPlanet)

  3. Order of Operations (PEMDAS) -

    Remember "Please Excuse My Dear Aunt Sally" to apply Parentheses, Exponents, Multiplication/Division, then Addition/Subtraction in that order. Correct sequencing ensures you simplify expressions accurately, a must for any no calculator algebra review. (National Council of Teachers of Mathematics)

  4. One-Step and Two-Step Equation Strategies -

    Isolate the variable by performing inverse operations: for 3x - 4 = 11, add 4 to get 3x = 15, then divide by 3 to find x = 5. Practicing these techniques builds confidence for an algebra i chapter 1 test without relying on a calculator. (Source: Purplemath)

  5. Checking Solutions and Avoiding Errors -

    Always substitute your answer back into the original equation - if x = 5 for 3x - 4 = 11, then 3ยท5 - 4 = 11 confirms it. This habit catches sign slips and arithmetic mistakes, boosting your score on any algebra 1 chapter 1 test. (University of Cambridge Mathematics Department)

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