Simple Algebra Problems Worksheet

A simple algebra problems worksheet is a valuable tool for students who are studying algebra. Designed to help them practice their skills and improve their understanding of this mathematical subject, these worksheets provide a wide range of exercises that cover various algebraic topics. By working through these problems, students have the opportunity to strengthen their problem-solving abilities and gain confidence in tackling algebraic equations and concepts.

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  2nd Grade Math Word Problems Worksheets

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What is the value of x in the equation 2x + 5 = 15?

The value of x in the equation 2x + 5 = 15 is x = 5.

Solve for y in the equation 3y - 7 = 14.

To solve for y in the equation 3y - 7 = 14, first isolate the variable y by adding 7 to both sides of the equation. This gives us 3y = 21. Then, divide both sides by 3 to find the value of y, which is y = 7.

Find the solution to the equation 4(a + 2) = 36.

To solve the equation 4(a + 2) = 36, we first distribute the 4 to get 4a + 8 = 36. Next, we subtract 8 from both sides to isolate the variable, giving us 4a = 28. Finally, we divide both sides by 4 to solve for 'a', resulting in the solution a = 7.

Simplify the expression 2(x + 3) - 5x.

To simplify the expression 2(x + 3) - 5x, first apply the distributive property by multiplying 2 to both x and 3 inside the parentheses to get 2x + 6. Then, subtract 5x from that to get the simplified expression 2x + 6 - 5x, which simplifies further to -3x + 6.

Solve for z in the equation 3z - 7 = 5z + 1.

Subtract 3z from both sides of the equation to isolate z on one side, this gives -7 = 2z + 1. Then, subtract 1 from both sides to get -8 = 2z. Finally, divide both sides by 2 to solve for z, which gives z = -4.

Find the value of x in the equation 2(3x - 4) = 16.

To solve for x in the equation 2(3x - 4) = 16, first distribute the 2 throughout the parentheses, which gives you 6x - 8 = 16. Then, isolate the variable x by adding 8 to both sides of the equation: 6x = 24. Finally, divide both sides by 6 to find the value of x, which is x = 4.

Simplify the expression 5x - 3(2x + 4).

To simplify the expression 5x - 3(2x + 4), you distribute the -3 across the terms inside the parentheses to get 5x - 6x - 12. Combining like terms results in -x - 12 as the simplified form of the expression.

What is the solution to the equation 3(2x - 5) = 2(x + 8)?

To find the solution to the equation 3(2x - 5) = 2(x + 8), we first distribute the 3 and 2 on both sides to get 6x - 15 = 2x + 16. Next, we combine like terms by subtracting 2x from both sides to get 4x - 15 = 16. Adding 15 to both sides gives us 4x = 31. Finally, dividing by 4 on both sides results in x = 31/4 or x = 7.75. Hence, the solution to the equation is x = 7.75.

Solve for y in the equation 4y - 3 = 7 - 2y.

To solve for y in the equation 4y - 3 = 7 - 2y, first, add 2y to both sides to get 6y - 3 = 7. Then, add 3 to both sides to obtain 6y = 10. Finally, divide by 6 to find y = 10/6 or y = 5/3.

Find the value of x in the equation 2x + 3 = x - 7.

To find the value of x in the equation 2x + 3 = x - 7, we need to solve for x by isolating it on one side of the equation. Subtracting x from both sides gives x + 3 = -7. Then, subtracting 3 from both sides results in x = -10. Therefore, x equals -10 in the given equation.