6th Grade Algebra Worksheets

Are you searching for useful and engaging 6th-grade algebra worksheets to enhance your child's understanding of mathematical concepts? Look no further! We have compiled a selection of impactful worksheets that focus on key algebraic entities and subjects, designed specifically for 6th-grade students.

  6th Grade Math Worksheets Algebra

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  6th Grade Math Addition Worksheets

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  6th Grade Math Worksheets

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  6th Grade Math Worksheets

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  6th Grade Math Algebra

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  Christmas Math Worksheets 6th Grade

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  6th Grade Math Worksheets Printable

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  6th Grade Math Worksheets Algebra

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  6th Grade Math Test Worksheets

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  6th Grade Printable Worksheets

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  6th Grade Math Problems

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  6th Grade Ratio Worksheets

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  6th Grade Math Division Worksheets Printable

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  6th Grade Math Worksheets Fractions

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  7th Grade Math Algebra Equations Worksheets

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  6th Grade Math Worksheets

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  6th Grade Math Worksheets

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

The value of x in the equation 3x + 5 = 17 is x = 4.

Simplify the expression 2x + 3y - 4x + 2y.

This expression simplifies to -2x + 5y.

Factorize the expression 4x^2 + 12x.

The expression 4x^2 + 12x can be factorized by factoring out the common factor of 4x. Therefore, 4x^2 + 12x = 4x(x + 3).

Solve the equation 2(3x + 4) = 10.

To solve the equation 2(3x + 4) = 10, first distribute the 2 to both terms inside the parentheses to get 6x + 8 = 10. Then, subtract 8 from both sides to isolate the variable and solve for x, yielding 6x = 2. Finally, divide by 6 on both sides to find the solution x = 2/6, which simplifies to x = 1/3.

Evaluate the expression 2(4x - 2) when x = 3.

To evaluate the expression 2(4x - 2) when x = 3, first substitute x with 3: 2(4*3 - 2). Simplifying inside the parentheses first, 4*3 is 12, then subtract 2 from 12 to get 10. So, the expression becomes 2*10, which equals 20. Therefore, when x = 3, 2(4x - 2) equals 20.

Solve for x in the equation 5(x + 3) = 25 - 2x.

To solve for x in the equation 5(x + 3) = 25 - 2x, first distribute 5 to x and 3 to get 5x + 15 = 25 - 2x. Next, combine like terms by adding 2x to both sides to get 7x + 15 = 25. Then, subtract 15 from both sides to isolate the variable x, resulting in 7x = 10. Finally, divide by 7 to find x = 10/7 or approximately 1.43.

Substitute x = 2 in the equation 3x - 7 = 2x - 3 and solve for x.

By substituting x = 2 into the equation 3x - 7 = 2x - 3, we get 3(2) - 7 = 2(2) - 3. This simplifies to 6 - 7 = 4 - 3, which becomes -1 = 1. Thus, the equation is incorrect and there is no solution for x in this case.

Combine like terms in the expression 2x^2 + 3x - 5x + 4.

The expression 2x^2 + 3x - 5x + 4 can be simplified by combining like terms. The like terms are the x terms, so by combining 3x and -5x, we get 2x^2 - 2x + 4.

Solve the equation 2x/3 + 4 = 10 - x/5.

To solve the equation 2x/3 + 4 = 10 - x/5, we first simplify by getting rid of fractions. Multiply the entire equation by 15 (the least common multiple of 3 and 5), so we get 10x + 60 = 150 - 3x. Next, simplify by moving all constants to one side and all variables to the other side: 10x + 60 + 3x = 150, 13x + 60 = 150, 13x = 90, x = 90/13. Therefore, the solution to the equation is x = 90/13.

Substitute x = 2 in the expression 3x^2 - 5x + 2 and evaluate.

Substituting x = 2 into the expression 3x^2 - 5x + 2 gives: 3(2)^2 - 5(2) + 2 = 3(4) - 10 + 2 = 12 - 10 + 2 = 4. Therefore, the value of the expression is 4 when x = 2.