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Quizzes > Mathematics > Algebra

One-Step Equations Quiz: Test Your Addition & Subtraction Skills

Ready for One Step Equation Practice? Think You Can Ace This Basic Algebra Quiz?

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art cutouts of numbers plus minus and equals forming one-step equations on a sky blue background

Are you ready to sharpen your skills with our free one-step equations quiz ? Designed for students and lifelong learners, this basic algebra quiz focuses on addition & subtraction, helping you solve addition subtraction equations with confidence. Looking for one step equation practice? You'll tackle algebra one-step problems in a fun, timed format with instant feedback to guide your learning. Whether you're prepping for tests or reinforcing daily lessons, our tools adapt to your pace. Dive in to challenge yourself and track your progress as you master each equation. Need extra drills? Try our addition quiz to boost speed and accuracy. Perfect for study breaks or homework, it's time to level up your math game - start now!

Solve for x: x + 5 = 12
17
5
-7
7
To solve x + 5 = 12, subtract 5 from both sides to isolate x. This gives x = 12 - 5 = 7. The inverse operation of adding 5 is subtracting 5. For more details, see Simple Equations.
Solve for x: x - 8 = 3
-5
11
5
-11
To solve x - 8 = 3, add 8 to both sides of the equation. That results in x = 3 + 8 = 11. Adding 8 undoes the subtraction of 8. See more at Simple Equations.
Solve for x: x + 0 = -4
0
-4
4
-5
In the equation x + 0 = -4, adding zero does not change the value of x. Therefore, x equals -4 directly. The identity property of addition explains this. More examples are shown at Simple Equations.
Solve for x: x - 5 = 0
10
0
-5
5
To solve x - 5 = 0, add 5 to both sides so that x = 0 + 5 = 5. The addition of 5 reverses the subtraction by 5. This isolates x correctly. You can review this concept at Simple Equations.
Solve for x: x + 3 = 3
0
6
3
-3
Subtract 3 from both sides to isolate x, giving x = 3 - 3 = 0. The subtraction undoes the initial addition of 3. This direct approach applies to all one-step equations. Further reading at Simple Equations.
Solve for x: x - 2 = -5
-3
-7
3
7
Add 2 to both sides to reverse the subtraction, giving x = -5 + 2 = -3. The inverse operation principle supports this step. Always perform the same operation on both sides. See more examples at Simple Equations.
Solve for x: x + 10 = 4
-6
6
14
-14
Subtract 10 from both sides to isolate x: x = 4 - 10 = -6. Subtraction is the inverse of addition. This one-step process is core to solving simple equations. Additional practice at Simple Equations.
Solve for x: x - 7 = 14
7
21
- 21
- 7
Add 7 to both sides, yielding x = 14 + 7 = 21. The addition undoes the subtraction of 7. This isolates the variable in one step. More on this process at Simple Equations.
Solve for x: x + (-3) = 5
3
-8
8
2
Adding - 3 is the same as subtracting 3, so add 3 to both sides: x = 5 + 3 = 8. The inverse of adding - 3 is adding 3. This isolates x in one step. See Simple Equations for more details.
Solve for x: -4 + x = 2
2
6
-6
-2
Add 4 to both sides to undo the subtraction: x = 2 + 4 = 6. This step isolates x effectively. Inverse operations keep equations balanced. Review at Simple Equations.
Solve for x: x - (-3) = 7
10
-10
-4
4
Subtracting - 3 is equivalent to adding 3, so subtracting a negative becomes addition. Add 3 to both sides: x = 7 + 3 = 10. This is a key variant of the one-step rule. More at Simple Equations.
Solve for x: x + 7 = -2
-9
9
5
-5
Subtract 7 from both sides: x = -2 - 7 = -9. Subtraction reverses the initial addition. This isolates x correctly in one step. More practice at Simple Equations.
Solve for x: x - 12 = -3
-15
15
-9
9
Add 12 to both sides: x = -3 + 12 = 9. Adding undoes subtraction. This isolates x in one simple move. See more examples at Simple Equations.
Solve for x: -3 + x = -8
5
11
-11
-5
Add 3 to both sides to undo the subtraction: x = -8 + 3 = -5. The inverse operation principle applies. This keeps the equation balanced. More at Simple Equations.
Solve for x: x + (-10) = -4
-14
-6
6
14
Adding - 10 is like subtracting 10. Add 10 to both sides: x = -4 + 10 = 6. This isolates the variable. You can practice more at Simple Equations.
Solve for x: x + 15 = -20
-35
5
-5
35
Subtract 15 from both sides to isolate x: x = -20 - 15 = -35. Subtraction reverses the addition. This straightforward step solves the equation. More examples at Simple Equations.
Solve for x: -25 + x = 10
-15
-35
35
15
Add 25 to both sides to undo the subtraction: x = 10 + 25 = 35. This step isolates x immediately. One-step equations rely on such inverse operations. See Simple Equations.
Solve for x: x - (-12) = -5
-17
-7
7
17
Subtracting - 12 is like adding 12, so subtracting a negative becomes addition. Therefore, x = -5 + 12 = 7. This isolates the variable in one step. More practice at Simple Equations.
Solve for x: x + (-7) = -13
-20
6
20
-6
Adding - 7 is equivalent to subtracting 7, so add 7 to both sides: x = -13 + 7 = -6. The inverse operation isolates x. This is a typical one-step solution. Further details at Simple Equations.
Solve for x: -9 + x = -3
-3
-6
6
3
Add 9 to both sides to undo the subtraction: x = -3 + 9 = 6. Inverse operations keep equations balanced. This isolates x in a single step. More examples at Simple Equations.
Solve for x: x - 20 = 5
25
15
-15
-25
Add 20 to both sides: x = 5 + 20 = 25. This inverse operation reverses the subtraction. One simple step isolates the variable. Learn more at Simple Equations.
Solve for x: x + 18 = 0
0
-18
-36
18
Subtract 18 from both sides to isolate x: x = 0 - 18 = -18. The subtraction undoes the addition. This straightforward move solves the equation. Additional practice at Simple Equations.
Solve for x: x + 2.5 = 7.1
-4.6
9.6
4.6
4.4
Subtract 2.5 from both sides: x = 7.1 - 2.5 = 4.6. Decimal subtraction isolates the variable in one step. Understanding decimal alignment is key. See more at Simple Equations.
Solve for x: x - 3/4 = 5/4
2
-2
3/2
1/2
Add 3/4 to both sides: x = 5/4 + 3/4 = 8/4 = 2. Fraction addition requires a common denominator. This isolates x in one operation. More on fraction equations at Simple Equations.
Solve for x: x + (-1.2) = -3.8
-2.6
5.0
2.6
-5.0
Adding - 1.2 is like subtracting 1.2, so add 1.2 to both sides: x = -3.8 + 1.2 = -2.6. Accurate decimal addition is essential. This single step isolates the variable. Review at Simple Equations.
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Study Outcomes

  1. Understand one-step equations -

    Grasp the structure of addition and subtraction equations involving a single unknown and identify the target variable.

  2. Apply inverse operations -

    Use addition and subtraction confidently to isolate variables in one-step equations practice.

  3. Solve addition equations -

    Quickly determine solutions for addition problems in the one-step equations quiz using the correct inverse operation.

  4. Solve subtraction equations -

    Accurately find solutions for subtraction problems in the one-step equations quiz by applying the appropriate operation.

  5. Check and verify solutions -

    Master the process of substituting answers back into original equations to confirm correctness in the basic algebra quiz.

  6. Enhance problem-solving speed -

    Develop fluency through one step equation practice, boosting confidence in algebra one-step problems.

Cheat Sheet

  1. Properties of Equality -

    Every equation remains balanced when you perform the same operation on both sides; this fundamental rule underpins all algebra one-step problems. For example, if x + 4 = 10, subtracting 4 from both sides preserves equality and yields x = 6. Trusted sources like Khan Academy and MIT OpenCourseWare reinforce this concept in their basic algebra quiz materials.

  2. Understanding Inverse Operations -

    Inverse operations undo each other, which is how you solve addition subtraction equations quickly. If you have y − 7 = 15, simply add 7 to both sides to isolate y and get y = 22, as shown in NCTM guidelines. Remember: addition reverses subtraction and subtraction reverses addition!

  3. Isolating the Variable -

    Focus on getting the variable alone on one side of the equation by "undoing" whatever is added or subtracted. For example, in 3 + t = 9, subtract 3 from both sides to find t = 6, just like in standard university algebra texts. Keeping the variable on one side and constants on the other is key to mastering one-step equation practice.

  4. Verification of Solutions -

    Always substitute your answer back into the original equation to confirm it balances - this simple check catches errors before they slip by. If you solve 5 + a = 12 and get a = 7, plug in 7 to verify that 5 + 7 really equals 12. Regularly testing answers is a habit recommended by educational research repositories like JSTOR and ERIC.

  5. Practice with Mnemonics -

    Use memory tricks like "Keep It Clean" (K-I-C-C): Keep the variable, Isolate the constant, Combine like terms, Check your answer. Engaging in timed one-step equations quizzes helps reinforce speed and accuracy, turning basic algebra quiz practice into a fun challenge. Consistent practice on platforms like Purplemath ensures you stay sharp and confident!

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