9th Grade Math Worksheets with Answers Free Printable

Are you looking for free printable math worksheets with answers for your 9th grade students? Look no further! We have a wide variety of engaging and helpful worksheets that cover a range of mathematical topics. From algebraic equations to geometry proofs, our worksheets provide practice and reinforcement for the concepts and skills that students need to succeed in 9th grade math.

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  9th Grade Math Test

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What is the value of x in the equation 2x + 4 = 12?

The value of x in the equation 2x + 4 = 12 is x = 4.

Solve the equation 3(2x - 5) = 21.

To solve the equation 3(2x - 5) = 21, first distribute the 3 to both terms inside the parentheses: 6x - 15 = 21. Next, add 15 to both sides to isolate the variable: 6x = 36. Finally, divide both sides by 6 to solve for x: x = 6. Therefore, the solution to the equation is x = 6.

Calculate the area of a triangle with base 8 cm and height 12 cm.

To calculate the area of a triangle, you use the formula: Area = 1/2 * base * height. Plugging in the values given, the area of the triangle would be: 1/2 * 8 cm * 12 cm = 48 square cm.

Simplify the expression 2x^2 - 5x + 3 when x = 4.

When x = 4, the expression becomes 2(4)^2 - 5(4) + 3, which simplifies to 2(16) - 20 + 3 = 32 - 20 + 3 = 12 + 3 = 15. Therefore, when x = 4, the simplified expression is 15.

Find the value of y when 4y + 2 = 10.

To find the value of y in the equation 4y + 2 = 10, we first isolate the variable y by subtracting 2 from both sides of the equation. This gives us 4y = 8. Then, we divide both sides by 4 to solve for y. Therefore, y = 2.

Determine the slope of the line passing through the points (2, 7) and (5, 1).

The slope of the line passing through the points (2, 7) and (5, 1) can be determined using the formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substituting the given points, we get \(m = \frac{1 - 7}{5 - 2} = \frac{-6}{3} = -2\). Therefore, the slope of the line passing through these points is -2.

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

To solve the system of equations, we can first isolate y in the second equation: y = 2x - 4. Next, we substitute this expression for y into the first equation: 3x + 2(2x - 4) = 10. Simplifying this gives us 3x + 4x - 8 = 10, which further simplifies to 7x - 8 = 10. Adding 8 to both sides, we get 7x = 18. Dividing by 7 gives x = 18/7. Substituting this back into y = 2x - 4 gives y = 2(18/7) - 4, which simplifies to y = 36/7 - 4. Therefore, the solution to the system of equations is x = 18/7 and y = 8/7.

Find the probability of rolling a 3 on a fair six-sided die.

The probability of rolling a 3 on a fair six-sided die is 1/6, since there is only one favorable outcome (rolling a 3) out of the total possible outcomes (rolling numbers 1 through 6).

Calculate the volume of a sphere with radius 5 cm.

The volume of a sphere can be calculated using the formula V = (4/3)?r^3, where r is the radius of the sphere. Substituting r = 5 cm into the formula, we get V = (4/3)?(5 cm)^3 = (4/3)?(125 cm^3) = 523.6 cubic cm. Therefore, the volume of a sphere with a radius of 5 cm is 523.6 cubic cm.

Solve the inequality 2x - 5 < 9.

To solve the inequality 2x - 5 < 9, you need to isolate the variable x. First, add 5 to both sides of the inequality to get 2x < 14. Then, divide by 2 on both sides to find x < 7. Therefore, the solution to the inequality 2x - 5 < 9 is x < 7.