6th-Grade Evaluating Expressions with Variables Worksheet

Evaluating expressions with variables can be a challenging concept for 6th-grade students to grasp. This worksheet is designed to help them practice and build confidence in identifying the entity and subject of each expression. By providing a variety of expressions and guiding them through the step-by-step process of evaluating them, this worksheet ensures that students have a solid understanding of this fundamental math skill.

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  Adding and Subtracting Radicals Worksheet

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  Adding and Subtracting Radicals Worksheet

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  Adding and Subtracting Radicals Worksheet

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  Adding and Subtracting Radicals Worksheet

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  Adding and Subtracting Radicals Worksheet

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  Adding and Subtracting Radicals Worksheet

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  Adding and Subtracting Radicals Worksheet

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What is the value of x when the expression 3x - 5 is equal to 7?

To find the value of x when the expression 3x - 5 equals 7, you can set up the equation as 3x - 5 = 7. Then, solve for x by adding 5 to both sides to isolate the variable, which gives 3x = 12. Finally, divide both sides by 3 to find the value of x, which is x = 4.

Simplify the expression 2(4 + 6) - 10.

The simplified expression is 12.

Evaluate the expression 5x + 2 when x = 3.

When x = 3, the expression 5x + 2 evaluates to 5(3) + 2 = 15 + 2 = 17. Therefore, the value of the expression 5x + 2 when x = 3 is 17.

Find the value of y in the expression 2y - 8 = 12.

To find the value of y in the expression 2y - 8 = 12, first add 8 to both sides to isolate the variable. This becomes 2y = 20. Next, divide both sides by 2 to solve for y, giving you y = 10. Therefore, the value of y in the expression is 10.

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

To evaluate the expression 4(x + 3) - 2x when x = 2, first substitute x with 2 in the expression: 4(2 + 3) - 2(2). This simplifies to 4(5) - 4, which further simplifies to 20 - 4, giving a final result of 16.

Simplify the expression 3(5x - 4) + 2(x + 3) when x = 1.

To simplify the expression 3(5x - 4) + 2(x + 3) when x = 1, we substitute x with 1: 3(5*1 - 4) + 2(1 + 3) = 3(5 - 4) + 2(1 + 3) = 3(1) + 2(4) = 3 + 8 = 11. Therefore, the simplified expression is 11 when x = 1.

What is the value of z when the expression 2z + 10 is equal to 24?

To find the value of z when the expression 2z + 10 is equal to 24, you can set up the equation: 2z + 10 = 24. Subtract 10 from both sides to isolate the term with z, which gives you 2z = 14. Then, divide by 2 on both sides to solve for z, leading to z = 7. Therefore, the value of z is 7 when the expression 2z + 10 is equal to 24.

Evaluate the expression 6 - 2(x + 1) when x = 4.

To evaluate the expression 6 - 2(x + 1) when x = 4, we substitute x = 4 into the expression: 6 - 2(4 + 1) = 6 - 2(5) = 6 - 10 = -4. Therefore, the value of the expression when x = 4 is -4.

Simplify the expression 2x + 3 - (x - 1) when x = 5.

Substitute x = 5 into the given expression to simplify: 2(5) + 3 - (5 - 1) = 10 + 3 - 4 = 13 - 4 = 9. Therefore, the simplified expression when x = 5 is 9.

Find the value of a in the expression 3(a - 2) = 27.

To find the value of a in the expression 3(a - 2) = 27, we first distribute the 3 to get 3a - 6 = 27. Adding 6 to both sides gives 3a = 33. Finally, dividing by 3 on both sides gives a = 11.