Simple Algebra Equations Worksheet

If you're a student or educator in need of a helpful tool to practice and reinforce algebraic concepts, you might find the Simple Algebra Equations Worksheet to be exactly what you're looking for. This worksheet provides a range of carefully designed exercises that cover fundamental algebraic equations, making it ideal for beginners or those needing a refresher on the subject.

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What is the value of x in the equation 3x + 5 = 20?

The value of x in the equation 3x + 5 = 20 is x = 5.

Solve the equation 2(x - 4) = 10.

To solve the equation 2(x - 4) = 10, you first distribute the 2 to both terms inside the parentheses to get 2x - 8 = 10. Then, you add 8 to both sides to isolate the variable and get 2x = 18. Finally, divide both sides by 2 to solve for x, which gives x = 9.

Find the value of y if 5y - 8 = 17.

To find the value of y, we first isolate the variable by adding 8 to both sides of the equation. This gives us 5y = 25. Next, we divide both sides by 5 to solve for y, resulting in y = 5. Therefore, the value of y is 5.

Solve the equation 7 + 2z = 15.

To solve the equation 7 + 2z = 15, we need to isolate the variable z. Subtracting 7 from both sides gives us 2z = 8. Then, dividing by 2 on both sides yields z = 4. Therefore, the solution to the equation is z = 4.

What is the solution to the equation 4(2x + 3) = 32?

To find the solution to the equation 4(2x + 3) = 32, first distribute 4 across the terms in the parentheses to get 8x + 12 = 32. Then, subtract 12 from both sides to isolate the variable, giving 8x = 20. Finally, divide by 8 to solve for x, which equals 2.5. So, the solution to the equation is x = 2.5.

Find the value of a if 2a + 7 = 15.

To find the value of a, we first isolate the variable by subtracting 7 from both sides of the equation. This gives us 2a = 8. Then, we divide both sides by 2 to solve for a. Therefore, a = 4.

Solve the equation 3x - 9 = 12.

To solve the equation 3x - 9 = 12, first add 9 to both sides to isolate the variable x. This results in 3x = 21. Next, divide by 3 on both sides to get the value of x. Therefore, x = 7.

Find the value of b if 4 - 3b = 10.

To find the value of b, you would first isolate b by moving the constant term to the other side of the equation. In this case, you would subtract 4 from both sides to get -3b = 6. Next, divide both sides by -3 to solve for b. -3b/-3 = 6/-3, giving b = -2.

Solve the equation 6(2y + 4) = 48.

To solve the equation 6(2y + 4) = 48, first distribute the 6 to both terms inside the parentheses to get 12y + 24 = 48. Next, subtract 24 from both sides to isolate 12y, which gives 12y = 24. Finally, divide both sides by 12 to find that the solution is y = 2.

What is the solution to the equation 9x - 5 = 22?

The solution to the equation 9x - 5 = 22 is x = 3.