Two-step Equations Fractions Worksheet

Are you a middle school student struggling with solving two-step equations involving fractions? If so, you're in luck! In this blog post, we will introduce you to a comprehensive and engaging Two-step Equations Fractions Worksheet that is designed to help reinforce your understanding of this challenging math concept. With a focused emphasis on the entity of two-step equations and the subject of fractions, this worksheet is the perfect tool to enhance your problem-solving skills and boost your confidence in solving math problems involving fractions.

  Evaluating Algebraic Expressions Worksheets

---

  Two-Step Equation Word Problems Worksheets

---

  Two-Step Equation Word Problems

---

  7th Grade Math Worksheets

---

  5th Grade Math Word Problems Worksheets

---

  Solving Radical Equations

---

  3rd Grade Math Word Problems Worksheets

---

  Multiplication Word Problems Worksheets

---

  Slope-Intercept Form Worksheet Printable

---

  Slope-Intercept Form Worksheet Printable

---

  Slope-Intercept Form Worksheet Printable

---

  Slope-Intercept Form Worksheet Printable

---

  Slope-Intercept Form Worksheet Printable

---

Write an equation that represents the given word problem: "One-third of a number is 4 less than twice the number.

Let the number be x. The equation representing the word problem is: (1/3)x = 2x - 4.

Solve the equation: 3/5x + 2 = 1/4x - 3.

To solve the equation, we first need to get rid of the fractions by finding a common denominator, which is 20 in this case. By multiplying each term by 20, the equation becomes 12x + 40 = 5x - 60. Next, isolate the variable by moving all terms involving x to one side, giving 7x = -100. Finally, divide by 7 to find that x = -100/7 or -14.29 (rounded to two decimal places).

Determine the value of x in the equation: 2/3(5x + 1) = 4.

To determine the value of x in the equation 2/3(5x + 1) = 4, first distribute the 2/3 to 5x and 1, which gives (10/3)x + 2/3 = 4. Next, subtract 2/3 from both sides to get (10/3)x = 4 - 2/3. Simplify further to find (10/3)x = 10/3, and finally, divide by 10/3 to isolate x, resulting in x = 1.

Solve the equation: 7/x - 3/4 = 5/6.

To solve the equation, first find a common denominator for the fractions on both sides of the equation. The common denominator for 4 and 6 is 12. Rewrite the equation with the common denominator: 28/12x - 9/12 = 10/12. Combine the fractions to get 19/12x = 19/12. Divide by 19/12 to solve for x, which gives x = 1.

Find the solution to the equation: (2/3)x + 5/6 = 7/8x - 1/4.

To solve the equation, we first need to get rid of the fractions by multiplying each term by the least common denominator, which is 24. This yields (16/24)x + 20/24 = 21/24x - 6/24. Simplifying, we get 16x + 20 = 21x - 6, then rearranging terms gives 6 = 5x, and finally, dividing by 5 gives x = 6/5 as the solution to the equation.

Write an equation that represents the following situation: "A number is doubled, and then one-fourth is subtracted from the result, giving a final value of 10.

Let x be the number. The equation representing the given situation is 2x - (1/4)(2x) = 10.

Solve the equation: (3/4)x - 2 = 2/3(x + 1).

To solve the equation (3/4)x - 2 = 2/3(x + 1), we first need to clear the fractions by multiplying every term by the least common multiple of the denominators (12). This would give us 9x - 24 = 8x + 8. Next, we can simplify the equation by moving all the terms to one side, which gives x = 32. Therefore, the solution to the equation is x = 32.

Determine the value of x in the equation: 5/(2x + 1) - 1/3 = 3/4.

To determine the value of x in the equation 5/(2x + 1) - 1/3 = 3/4, we first find a common denominator for the fractions, which is 12. Then, we rewrite the equation as 15/12 - 4/12 = 9/12. This simplifies to 11/12 = 9/12. From this, we see that x equals 1.

Solve the equation: 2/3x - 1/5 = 4.

To solve the equation, we first add 1/5 to both sides to isolate the variable: 2/3x = 4 + 1/5. Then, we simplify the right side: 2/3x = 20/5 + 1/5 = 21/5. Finally, to solve for x, we multiply both sides by 3/2 to get x alone: x = (21/5) * (3/2) = 63/10. Therefore, the solution to the equation is x = 63/10.

Find the solution to the equation: 1/2(x - 3) + 1/3 = 2/5(x + 2).

To solve the equation 1/2(x - 3) + 1/3 = 2/5(x + 2), first distribute the fractions: 1/2x - 3/2 + 1/3 = 2/5x + 4/5. Next, simplify the equation by finding a common denominator, which is 30 in this case: 15/30x - 45/30 + 10/30 = 12/30x + 24/30. Then simplify further: 15/30x - 45/30 + 10/30 = 12/30x + 24/30. Combine like terms: 15/30x - 35/30 = 12/30x + 24/30. Moving terms around, we find: 3/30x = 59/30. Finally, solve for x: x = 59/3 = 19.