Algebra Multi-Step Problem Worksheet

Are you struggling with multi-step algebra problems? Look no further than our Algebra Multi-Step Problem Worksheet! Designed specifically for high school students and those preparing for standardized tests, this worksheet provides a comprehensive practice for mastering complex algebraic equations and strengthening problem-solving skills. Whether you're a student gearing up for an exam or a parent looking to supplement your child's learning, our worksheet is the perfect tool to help you conquer multi-step algebra problems with confidence and ease.

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  6th Grade Math Word Problems Worksheets

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What is the value of x if 3x + 5 = 17?

The value of x is 4, as 3 multiplied by 4 plus 5 equals 17.

Solve the equation: 2(x + 3) = 10.

To solve the equation 2(x + 3) = 10, we first distribute the 2: 2x + 6 = 10. Then, we subtract 6 from both sides to isolate the x variable: 2x = 4. Finally, divide by 2 to solve for x: x = 2. Hence, the solution to the equation is x = 2.

Find the solution to the equation: 4(2x + 1) = 24.

The solution to the equation 4(2x + 1) = 24 is x = 2.5. By solving for x, we can simplify the equation to 8x + 4 = 24, and then solve for x by isolating it on one side of the equation.

Determine the value of y in the equation: 6y + 2 = 20 - 3y.

To determine the value of y in the equation 6y + 2 = 20 - 3y, first we can simplify it by moving all terms with y to one side and constant terms to the other side. Adding 3y to both sides gives us 6y + 3y + 2 = 20. Combining the y terms gives 9y + 2 = 20. Then, subtracting 2 from both sides yields 9y = 18. Finally, dividing by 9 gives y = 2.

Solve the following equation for x: 5(4x + 2) - 3 = 32.

To solve the equation 5(4x + 2) - 3 = 32, first distribute the 5 on the left side to get 20x + 10 - 3 = 32. Combine like terms to simplify the equation to 20x + 7 = 32. Next, isolate x by subtracting 7 from both sides to get 20x = 25. Finally, divide by 20 to find that x = 1.25 is the solution to the equation.

Determine the value of z if 7z - 3 = 2z + 11.

To determine the value of z in the equation 7z - 3 = 2z + 11, we first need to simplify the equation by isolating the variable z. Subtracting 2z from both sides gives us 5z - 3 = 11. Then, adding 3 to both sides gives us 5z = 14. Finally, dividing by 5 on both sides gives us z = 2.8. Therefore, the value of z in the equation is 2.8.

Find the solution to the equation: 2(3y - 5) + 4 = 3(2y + 1) + 1.

The solution to the equation is y = 6.

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

To solve the equation, first distribute the terms: 8x - 4 + 3 = 15 - 5x - 2. Simplify both sides by combining like terms: 8x - 1 = 13 - 5x. Next, isolate x on one side by adding 5x to both sides: 13x - 1 = 13. Finally, add 1 to both sides and divide by 13 to solve for x: x = 1.

Determine the value of a in the equation: 2(a - 4) + 5 = 3(a + 2) - 7.

To determine the value of a in the equation 2(a - 4) + 5 = 3(a + 2) - 7, we first simplify both sides. Expanding the terms gives 2a - 8 + 5 = 3a + 6 - 7. Simplifying further, we get 2a - 3 = 3a - 1. Next, subtracting 2a from both sides gives -3 = a - 1. Finally, adding 1 to both sides gives a = -2. Therefore, the value of a in the equation is -2.

Solve the following equation for x: 3(2x + 1) - 4 = 5(1 - x) + 3.

To solve the equation 3(2x + 1) - 4 = 5(1 - x) + 3, first distribute the constants: 6x + 3 - 4 = 5 - 5x + 3. This simplifies to 6x - 1 = -5x + 8. Add 5x to both sides and add 1 to both sides to isolate x: 6x + 5x = 8 + 1, which simplifies to 11x = 9. Finally, divide both sides by 11 to solve for x: x = 9/11.