3.4 Practice B Math Worksheet

Are you seeking a reliable resource to enhance your math skills through targeted practice? Look no further than the 3.4 Practice B Math Worksheet. Designed for students in need of additional reinforcement or review, this worksheet offers a comprehensive set of exercises centered around various mathematical topics.

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What is the value of x in the equation 2x - 7 = 15?

The value of x in the equation 2x - 7 = 15 is x = 11.

Simplify the expression: 3(4x - 2) + 5x.

To simplify the expression 3(4x - 2) + 5x, first distribute the 3. This gives us 12x - 6 + 5x. Then, combine like terms to get the final simplified expression: 17x - 6.

Solve the equation: 6(x + 3) - 2 = 4x + 12.

To solve the equation 6(x + 3) - 2 = 4x + 12, first distribute the 6 to both terms inside the parentheses to get 6x + 18 - 2 = 4x + 12. Simplifying further, 6x + 16 = 4x + 12. Next, subtract 4x from both sides to get 2x + 16 = 12. Finally, subtract 16 from both sides to isolate x, giving 2x = -4. Therefore, x = -2.

Find the slope of the line passing through the points (2, 5) and (4, 9).

The slope of the line passing through the points (2, 5) and (4, 9) can be found using the formula (y2 - y1) / (x2 - x1). Substituting the values, we get (9 - 5) / (4 - 2) = 4 / 2 = 2. Therefore, the slope of the line passing through these two points is 2.

Solve for y in the equation 3x + 2y = 10.

To solve for y in the equation 3x + 2y = 10, first isolate the term containing y. Subtract 3x from both sides to get 2y = 10 - 3x. Then divide by 2 on both sides to get y = (10 - 3x) / 2. Therefore, the solution for y is y = (10 - 3x) / 2.

Express 1/4 as a decimal.

1/4 as a decimal is 0.25.

Find the area of a rectangle with length 8 cm and width 5 cm.

The area of the rectangle is calculated by multiplying the length and width of the rectangle. In this case, the area is 8 cm x 5 cm = 40 square cm.

Evaluate the expression: 5² + 2 × 3 - 4.

The expression 5² + 2 × 3 - 4 simplifies to 25 + 6 - 4, which further simplifies to 31 - 4, resulting in the final answer of 27.

Solve the inequality: 2x + 3 < 10.

To solve the inequality 2x + 3 < 10, we first subtract 3 from both sides to isolate the variable: 2x < 7. Then, we divide by 2 on both sides to solve for x: x < 3.5. Therefore, the solution to the inequality is x is less than 3.5.

Express the ratio 1:4 in simplest form.

The ratio 1:4 in simplest form is 1:4.