Simple Algebra 1 Worksheet

If you're a middle school or high school student searching for a straightforward and helpful algebra worksheet, you've come to the right place. This worksheet is designed to provide practice and reinforcement on basic algebra concepts, such as solving equations, simplifying expressions, and graphing linear functions. Through a series of straightforward and targeted exercises, students will strengthen their understanding of key algebraic principles and gain confidence in their problem-solving abilities.

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What is the value of x in the equation 3x + 5 = 17?

The value of x in the equation 3x + 5 = 17 is x = 4.

Solve the equation 4(2x - 3) = 20.

To solve the equation 4(2x - 3) = 20, first distribute the 4 on the left side to get 8x - 12 = 20. Next, add 12 to both sides to isolate the variable: 8x = 32. Finally, divide both sides by 8 to solve for x which gives x = 4. Therefore, the solution to the equation is x = 4.

Simplify the expression 5x^2 + 2x - 10.

The expression 5x^2 + 2x - 10 cannot be simplified further as it is already in its simplest form.

Find the slope of the line passing through the points (2, 4) and (-1, 7).

The slope of the line passing through the points (2, 4) and (-1, 7) can be calculated using the formula (y2 - y1) / (x2 - x1), where (x1, y1) = (2, 4) and (x2, y2) = (-1, 7). Substituting the values, the slope is (7 - 4) / (-1 - 2) = 3 / -3 = -1.

Solve the inequality 2x + 3 > 9.

To solve the inequality 2x + 3 > 9, we first subtract 3 from both sides to isolate the variable: 2x > 6. Then, divide both sides by 2 to solve for x: x > 3. Therefore, the solution to the inequality is x > 3.

Factor the expression x^2 - 4.

The expression x^2 - 4 can be factored as (x + 2)(x - 2) using the difference of squares formula.

Solve the system of equations:

I would be happy to help you solve the system of equations. Please provide the equations that you need help solving.

2x + 3y = 12

To rewrite the equation in slope-intercept form (y = mx + b), you need to solve for y. To do this, subtract 2x from both sides: 3y = -2x + 12. Next, divide by 3 to isolate y: y = (-2/3)x + 4. So, the equation 2x + 3y = 12 can be expressed in slope-intercept form as y = (-2/3)x + 4.

4x - y = 5

The given equation is 4x - y = 5.

Find the midpoint of the line segment with endpoints (2, 5) and (-3, -1).

To find the midpoint of a line segment with endpoints (2, 5) and (-3, -1), you can use the midpoint formula. The midpoint coordinates are calculated by averaging the x-coordinates and the y-coordinates of the endpoints separately. So, the midpoint is ((2 + (-3)) / 2, (5 + (-1)) / 2), which simplifies to (-1/2, 2). Therefore, the midpoint of the line segment is (-1/2, 2).