Basic One Step Equations Worksheet

Are you a middle school math teacher in search of a reliable resource to reinforce one-step equations? Look no further! We have created a comprehensive basic one-step equations worksheet to help your students practice their problem-solving skills and solidify their understanding of this fundamental concept.

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Solve the equation: 3x + 5 = 17.

To solve the equation 3x + 5 = 17, we first need to isolate the variable x by getting rid of the constant term on the same side. Subtracting 5 from both sides, we get 3x = 12. Finally, dividing by 3 on both sides, we find x = 4. Therefore, the solution to the equation is x = 4.

What is the value of x in the equation: -7 + 2x = 5?

To find the value of x in the equation -7 + 2x = 5, you first need to isolate x on one side of the equation. By adding 7 to both sides, you get 2x = 12. Then, by dividing both sides by 2, you find that x = 6.

Find the solution to the equation: 2(x - 3) = 10.

To solve the equation 2(x - 3) = 10, first distribute the 2 into the parentheses, giving you 2x - 6 = 10. Next, add 6 to both sides to isolate the variable, resulting in 2x = 16. Finally, divide both sides by 2 to solve for x, yielding x = 8. Therefore, the solution to the equation 2(x - 3) = 10 is x = 8.

Determine the value of y in the equation: 5y - 8 = 22.

To determine the value of y in the equation 5y - 8 = 22, first, add 8 to both sides to isolate the term containing y. This gives us 5y = 30. Then, divide both sides by 5 to solve for y, which equals 6. Therefore, the value of y in the equation is 6.

Solve the equation: 4(2x + 3) = 32.

To solve the equation 4(2x + 3) = 32, you first distribute the 4, giving you 8x + 12 = 32. Then, you isolate the variable by subtracting 12 from both sides, resulting in 8x = 20. Finally, you divide both sides by 8 to solve for x, giving you x = 2.5.

What is the solution to the equation: 6 - 3y = 18?

The solution to the equation 6 - 3y = 18 is y = -4.

Find the value of z in the equation: 2z + 7 = 17.

The value of z in the equation 2z + 7 = 17 is z = 5.

Solve the equation: 9 - 4(a - 2) = 1.

To solve the equation 9 - 4(a - 2) = 1, start by distributing the -4 to both terms inside the parentheses to get 9 - 4a + 8 = 1. Combine like terms to simplify the equation to 17 - 4a = 1. Next, isolate the variable by subtracting 17 from both sides to get -4a = -16. Finally, divide by -4 on both sides to solve for 'a', which yields a = 4.

Determine the solution to the equation: 3y - 5 = -7.

The solution to the equation 3y - 5 = -7 is y = -2.

Find the value of b in the equation: 2(3b + 4) = 26.

To find the value of b in the equation 2(3b + 4) = 26, first distribute the 2 to both terms inside the parentheses, giving 6b + 8 = 26. Next, subtract 8 from both sides to isolate the term with b, giving 6b = 18. Finally, divide by 6 to solve for b, giving b = 3.