Pre- Algebra 7th Grade Math Worksheets

Are you in search of comprehensive and practical resources to reinforce your 7th-grade math skills? Look no further! Our collection of Pre-Algebra 7th Grade Math Worksheets is designed to provide an effective learning experience for students at this level. Covering various topics within the realm of Pre-Algebra, these worksheets are carefully crafted to help students grasp fundamental concepts and apply them to solve real-world problems.

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

To find the value of x in the equation 2x + 5 = 15, first, subtract 5 from both sides to isolate 2x. This gives you 2x = 10. Then, divide both sides by 2 to solve for x, which gives you x = 5. Therefore, the value of x in the equation is 5.

Solve the inequality 3x - 4 < 8.

To solve the inequality 3x - 4 < 8, first add 4 to both sides to isolate the variable x. This gives us 3x < 12. Then, divide both sides by 3 to solve for x, obtaining x < 4. Therefore, the solution for the inequality is x is less than 4.

Evaluate the expression 4(2 + 5) - 3(6 - 1).

To evaluate the expression 4(2 + 5) - 3(6 - 1), first simplify the parentheses: 2 + 5 = 7 and 6 - 1 = 5. Then, substitute these simplified values back into the expression: 4 * 7 - 3 * 5 = 28 - 15 = 13. Therefore, the value of the expression is 13.

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

The simplified expression is x + 5y.

Find the perimeter of a rectangle with length 7 and width 4.

To find the perimeter of a rectangle, you add the lengths of all four sides. For a rectangle with a length of 7 units and a width of 4 units, the formula for the perimeter is P = 2(length + width). Plugging in the values, we get P = 2(7 + 4) = 2(11) = 22 units. Therefore, the perimeter of the rectangle is 22 units.

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

The simplified expression is 6x + 8y - 6x + 3y, which simplifies further to 8y + 3y = 11y. So, the final simplified expression is 11y.

Solve the equation 5(x - 2) = 3x + 7.

To solve the equation 5(x - 2) = 3x + 7, first distribute the 5 to both terms inside the parentheses: 5x - 10 = 3x + 7. Next, move all x terms to one side by subtracting 3x from both sides: 5x - 3x - 10 = 7. This simplifies to 2x - 10 = 7. To isolate x, add 10 to both sides: 2x = 17. Finally, divide both sides by 2 to find the value of x: x = 8.5.

If a car travels at a constant speed of 60 miles per hour, how far will it travel in 3 hours?

If a car travels at a constant speed of 60 miles per hour for 3 hours, it will cover a distance of 180 miles.

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

To evaluate the expression 2(x + 3) - 5x when x = -2, we first substitute -2 for x in the expression. This gives us 2((-2) + 3) - 5(-2), which simplifies to 2(1) + 10, and then to 2 + 10, finally resulting in 12. Therefore, when x = -2, the expression 2(x + 3) - 5x evaluates to 12.

Find the area of a triangle with a height of 8 and a base of 5.

To find the area of a triangle, you can use the formula: Area = 0.5 * base * height. Plugging in the values given, the area of the triangle would be 0.5 * 5 * 8 = 20 units squared.