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Quizzes > High School Quizzes > Mathematics

Solving One-Step Equations Practice Quiz

Improve skills with addition and subtraction problems

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Paper art promoting The One-Step Equation Challenge quiz for middle school students.

Solve for x: x + 5 = 12.
8
5
7
6
To solve for x, subtract 5 from both sides of the equation. The result is x = 7, which is verified by substituting back into the equation.
Solve for x: x - 4 = 3.
7
3
-1
4
Add 4 to both sides of the equation to isolate x, resulting in x = 7. This step shows the inverse operation of subtraction leading to the correct solution.
Solve for a: a + 2 = 10.
2
10
8
12
Subtract 2 from both sides to isolate the variable a, which gives a = 8. This basic operation demonstrates the principle of balancing the equation.
Solve for z: z - 10 = 5.
10
15
-5
5
Add 10 to both sides in the equation to isolate z, yielding z = 15. This illustrates the process of reversing a subtraction to solve for the variable.
Solve for n: n + 6 = 11.
6
11
5
17
Subtract 6 from both sides of the equation to isolate n, which results in n = 5. This step confirms the requirement of performing the same operation on both sides of the equation.
Solve for x: x - 3 = -2.
-1
0
1
2
By adding 3 to both sides, the equation simplifies to x = 1. This demonstrates how to undo subtraction to obtain the correct variable value.
Solve for y: y + 7 = 3.
-4
4
-10
10
Subtract 7 from both sides of the equation to isolate y, resulting in y = -4. It is important to remember that subtraction can lead to negative results.
Solve for x: x + 9 = 0.
0
-9
-1
9
Subtracting 9 from both sides gives x = -9. This equation shows that adding a positive number to a negative number can yield zero.
Solve for m: m - 6 = -12.
-18
6
0
-6
Add 6 to both sides to obtain m = -12 + 6, which simplifies to m = -6. This problem reinforces the idea that balance in an equation is maintained by performing the same operation on both sides.
Solve for p: p + 0 = 5.
5
-5
0
10
Adding 0 does not change the value of p, so p is directly equal to 5. This question emphasizes the concept that adding zero leaves the variable unchanged.
Solve for x: x - 0 = 10.
0
-10
10
5
Since subtracting 0 does not change the value of x, the solution is x = 10. This simple property of subtraction reinforces understanding of identity elements in arithmetic.
Solve for t: t + 4 = 4.
4
8
0
-4
Subtract 4 from both sides to solve for t, resulting in t = 0. This equation illustrates the concept that a number can be balanced by its additive inverse.
Solve for x: x - 7 = 2.
7
5
9
2
Add 7 to both sides to isolate x, providing x = 9. This operation of reversing subtraction is a fundamental skill in solving linear equations.
Solve for b: b + 6 = 2.
8
-4
4
2
Subtract 6 from both sides to get b = 2 - 6, which simplifies to b = -4. This question demonstrates that the solution may be a negative number when subtracting a larger number from a smaller one.
Solve for y: y - 5 = -3.
5
-2
-8
2
Add 5 to both sides to solve for y, yielding y = -3 + 5, which equals 2. This process reinforces the inverse relationship between addition and subtraction.
Solve for x: x + 3.5 = 8.
3.5
4.5
8
11.5
Subtracting 3.5 from both sides gives x = 8 - 3.5, which equals 4.5. This question incorporates decimal arithmetic to strengthen understanding of decimals in equations.
Solve for y: y - 2.5 = -0.5.
2.5
2
0
1
Adding 2.5 to both sides results in y = -0.5 + 2.5, which simplifies to y = 2. This problem reinforces the use of decimals in simple algebraic equations.
Solve for w: w - 5.5 = -3.
5.5
3
-2.5
2.5
Add 5.5 to both sides to isolate w, which results in w = -3 + 5.5 and simplifies to 2.5. This equation challenges students to apply their knowledge of decimal operations in algebra.
Solve for a: a + 6.2 = 10.2.
6.2
4
10.2
16.4
Subtract 6.2 from both sides to isolate a, giving a = 10.2 - 6.2, which equals 4. This problem helps to understand subtraction with decimals in one-step equations.
Solve for n: n - 0.9 = -2.4.
1.5
0
-2.4
-1.5
Add 0.9 to both sides of the equation to get n = -2.4 + 0.9, which results in n = -1.5. This final question reinforces the concept of dealing with negative decimals in algebraic equations.
0
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Study Outcomes

  1. Solve one-step addition and subtraction equations accurately.
  2. Identify the appropriate operation needed to isolate the variable.
  3. Apply the concept of balancing equations to maintain equality.
  4. Demonstrate proficiency in combining like terms when necessary.
  5. Verify solutions by substituting back into the original equations.

One-Step Equations: Add/Subtract Cheat Sheet

  1. Grasp the One-Step Equation Concept - One-step equations are like little puzzles where you do just one operation to find the missing variable. For example, x + 5 = 12 becomes x = 12 - 5, giving x = 7. Keep experimenting with different equations to see how quickly you can solve them! Splash Learn
  2. Master Inverse Operations - Inverse operations are your secret weapons: addition undoes subtraction and vice versa. So to solve x - 3 = 10, you just add 3 to both sides and get x = 13. Practice flipping operations until it feels as natural as breathing! Kate's Math Lessons
  3. Practice with Various Number Types - Level up by solving equations using whole numbers, decimals, and fractions. For instance, tackle 0.5 + x = 1.2 by subtracting 0.5 to reveal x = 0.7. Mixing in different number types builds confidence and shows you how versatile your skills are! Teach Starter
  4. Always Check Your Solution - Verifying your answer is a must: plug your solution back into the original equation to ensure it works. If x = 4 solves x + 2 = 6, then you should see 4 + 2 = 6. This final step turns good solvers into great ones by catching sneaky mistakes! Symbolab
  5. Remember the Equality Properties - Adding or subtracting the same number from both sides keeps the equation balanced. This principle is the backbone of every equation you'll ever solve. Embrace it, and you'll never lose your mathematical footing! Symbolab
  6. Use Visual Aids like Tape Diagrams - Tape diagrams turn abstract equations into colorful, tangible bars you can draw and manipulate. They're perfect for visual learners who need to "see" the balance. Try sketching a quick diagram next time you solve x + 4 = 9! Online Math Learning
  7. Engage in Interactive Practice - Hands-on problems keep your brain sharp and highlight areas for improvement. The more you practice, the faster and more accurate you become. Turn it into a game and celebrate each win! ChiliMath
  8. See One-Step as a Foundation - Nailing one-step equations sets you up for multi-step challenges down the road. Think of it as building a skyscraper: you need a solid first floor before adding more levels. Get this base right and future algebra topics will feel like a breeze! Online Math Learning
  9. Create Mnemonics for Inverse Operations - Word tricks like "Addition and subtraction are opposites" help you remember which step to take next. A catchy rhyme or acronym makes recalling rules a snap. Experiment with your own memory hooks for extra fun! Kate's Math Lessons
  10. Stay Positive and Patient - Every equation you solve is a mini victory, so celebrate it! Mastery takes practice, but each solved problem boosts your confidence. Keep the momentum going and enjoy the journey to algebra greatness! Splash Learn
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