6 5 Algebra 1 Worksheet

Are you a student struggling with algebraic concepts and equations? Look no further! Our Algebra 1 Worksheet is here to help you strengthen your understanding of these fundamental principles. Designed specifically for students like you, this worksheet provides a comprehensive review and practice of key algebraic concepts and skills. With carefully crafted exercises and clear explanations, mastering algebra has never been easier.

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What is the slope-intercept form of the equation represented by the line with slope 6 and y-intercept 5?

The slope-intercept form of the equation represented by the line with a slope of 6 and a y-intercept of 5 is y = 6x + 5.

What is the solution to the equation 6x + 5 = 0?

The solution to the equation 6x + 5 = 0 is x = -5/6.

How would you graph the equation y = 6x + 5?

To graph the equation y = 6x + 5, you would first plot the y-intercept, which is 5 in this case. Then, you would use the slope of 6 to determine the rise (up 6) and run (to the right 1) to plot additional points on the line. Connect these points to create a straight line. This line represents the graph of the equation y = 6x + 5.

Can you find the x-intercept of the equation 6x + 5y = 0?

To find the x-intercept of the equation, we set y to zero and solve for x. By substituting y = 0 into the equation 6x + 5y = 0, we get 6x + 5(0) = 0 which simplifies to 6x = 0. Solving for x gives x = 0. Therefore, the x-intercept of the equation 6x + 5y = 0 is (0, 0).

What is the y-coordinate of the point where the line y = 6x + 5 intersects the x-axis?

To find the y-coordinate of the point where the line y = 6x + 5 intersects the x-axis, we set y = 0 in the equation. Therefore, 0 = 6x + 5. Solving for x, we get x = -5/6. So, the point where the line intersects the x-axis has a y-coordinate of 0.

Calculate the value of y for x = 2 in the equation y = 6x + 5.

Substitute x = 2 into the equation y = 6x + 5. Therefore, y = 6(2) + 5 = 12 + 5 = 17. Thus, when x = 2, y equals 17.

Is the line represented by the equation y = 6x + 5 a horizontal or vertical line?

The line represented by the equation y = 6x + 5 is not a horizontal or vertical line. Since the coefficient of x (6) is not zero, the line has a slope and will slant diagonally across the coordinate plane.

If the equation of a line is in the form y = mx + b, what does m represent?

In the equation y = mx + b, the variable m represents the slope of the line.

Can you simplify the expression 6x + 5 + 3x - 2x?

Of course! The expression 6x + 5 + 3x - 2x simplifies to 7x + 5.

Solve the equation 6x + 5 = 2x + 13 for x.

Subtracting 2x from both sides and subtracting 5 from both sides gives you 4x=8. Dividing by 4 on both sides results in x=2. Therefore, the solution to the equation 6x + 5 = 2x + 13 is x=2.