Pre-Algebra 7 Grade Math Worksheets Printable

Are you a middle school student looking for additional practice in Pre-Algebra? Look no further! Our printable 7th-grade math worksheets are designed to reinforce key concepts and help you excel in your math studies. With a focus on Pre-Algebra, these worksheets cover topics such as integers, fractions, equations, inequalities, and more. Whether you're struggling with a specific concept or just want to review and reinforce your knowledge, our worksheets are a valuable resource to help you succeed in math.

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What is the value of the variable "x" in the equation 5x + 7 = 22?

The value of the variable "x" in the equation 5x + 7 = 22 is x = 3.

Solve the following inequality: -3x + 4 > 10.

To solve the inequality -3x + 4 > 10, first, subtract 4 from both sides to isolate the variable: -3x > 6. Then, divide by -3 on both sides to get x < -2. Therefore, the solution to the inequality is x is less than -2.

Calculate the perimeter of a rectangle with sides measuring 8 inches and 12 inches.

The perimeter of a rectangle is calculated by adding together all of its sides. In this case, the rectangle has sides measuring 8 inches and 12 inches. Therefore, the perimeter of the rectangle is 8 + 8 + 12 + 12 = 40 inches.

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

To simplify the expression 3(x + 2) - 5(2 - x), first distribute the coefficients to the terms inside the parentheses. This results in 3x + 6 - 10 + 5x. Combining like terms, you get 8x - 4. Therefore, the simplified expression is 8x - 4.

Find the area of a triangle with a base of 6 cm and a height of 9 cm.

The area of a triangle is calculated by the formula Area = 1/2 * base * height. Plugging in the values, the area of the triangle is 1/2 * 6 cm * 9 cm = 27 square cm.

Evaluate the expression: 4^2 - 2(6 + 3) ÷ 5.

To evaluate the expression, we follow the order of operations (PEMDAS/BODMAS) which states that we perform operations in parentheses/brackets first, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right. Applying this to the expression, we first solve inside the parentheses: 6 + 3 = 9. Then, we perform the division 9 ÷ 5 = 1.8. Next, we calculate the exponentiation 4^2 = 16. Finally, we subtract 2 from 16, giving us 14. Therefore, the value of the expression 4^2 - 2(6 + 3) ÷ 5 is equal to 14.

Solve the proportion: 5/8 = x/12.

To solve the proportion 5/8 = x/12, we can cross multiply. This gives us 8x = 5 * 12, which simplifies to 8x = 60. Dividing both sides by 8, we find that x = 7.5. So the solution to the proportion is x = 7.5.

Determine the missing angle in a triangle when two angles measure 65° and 40°.

To determine the missing angle in a triangle, subtract the sum of the two given angles (65° + 40° = 105°) from 180° (sum of all angles in a triangle). Therefore, the missing angle would be 180° - 105° = 75°.

Solve the system of equations: 2x + 3y = 10, 4x - y = 8.

To solve the system of equations 2x + 3y = 10 and 4x - y = 8, first isolate y in the second equation to get y = 4x - 8. Then substitute this expression for y into the first equation: 2x + 3(4x - 8) = 10. Simplify to get 14x - 24 = 10, then solve for x: 14x = 34. Therefore, x = 34/14 = 17/7. Substitute x back into y = 4x - 8 to find y: y = 4(17/7) - 8 = 68/7 - 56/7 = 12/7. Thus, the solution to the system of equations is x = 17/7 and y = 12/7.

Calculate the mean of the following set of numbers: 5, 8, 12, 4, 9.

To calculate the mean of the set of numbers 5, 8, 12, 4, and 9, you would add up all the numbers and then divide by the total count of numbers in the set. Adding 5 + 8 + 12 + 4 + 9 gives a sum of 38. Dividing 38 by the total count of 5 gives a mean of 7.6 for this set of numbers.