Miscellaneous

Slope of 12x + 4y = 24.

Find the x-intercept of 3x - y = 9.

Solve: \(|x - 5| = -2\)

What is the slope of the line represented by the equation 5x + 2y = 10?

Convert 4x + 6y = 12 to slope-intercept form.

Are the lines 2x + 3y = 6 and 3x - 2y = 8 perpendicular?

Find the slope perpendicular to a horizontal line.

Slope of a line perpendicular to 3x + y = 5.

Solve for y in terms of x: \(2x + y = 10\)

In the context of a graph, slope is often described as the ratio of the vertical change to the horizontal change. What is the common nickname for this?

A line with a slope of 0 (horizontal) is always perpendicular to a line with what kind of slope?

Slope between (1, 1) and (2, 2)?

Which type of line is parallel to the horizontal line y = 10?

The y-intercept of a line is the point where the graph crosses the y-axis. At this point, what is always the value of x?

Y-intercept of y = 3x - 1?

X-intercept of y = x - 5?

X-intercept of 3x + y = 9?

Which equation represents a line with slope 3 passing through (1, 4)?

Write in slope-intercept form: \(m = 1/2, through (0, 5).\)

Are y = 0.5x and y = -2x perpendicular?

Find the equation of a line parallel to y = 4x + 1 through (0, -3).

Find the y-intercept of the line 5x - 2y = 10.

Solve for x: \(2(x + 4) = 18\)

Solve: \(1 - 2x = 9\)

Solve for y: \(3x - 4y = 12\)

Perpendicular slope to m = -2/3.

Are 2x + y = 4 and y = -2x + 8 parallel?

Two towns are 300 miles apart. Car A (50 mph) and Car B (70 mph) drive toward each other. How long until they meet?

The sum of three consecutive odd integers is 51. What is the middle integer?

On a graph, Line 1 rises 3 units for every 2 units it moves right. Line 2 also rises 3 units for every 2 units it moves right. These lines are

Write the equation in y = mx + b form for points (0, 3) and (2, 7).

Convert y - 2 = 4(x - 1) into Standard Form (Ax + By = C).

For what value of 'a' and 'b' does ax + 7 = 3x + b have infinite solutions?

Y-intercept of y = 0.5x + 3?

Convert y - 5 = 4(x + 2) to Standard Form.

In the equation y = 4x - 7, what is the y-intercept?

A student converts y - 2 = 3(x - 1) to y = 3x - 1. What was their mistake?

From the equation y - 5 = -3(x + 2), which specific point is the line known to pass through?

X-intercept of 2x - y = 4?

If m(x - 2) = 4x + 1 has no solution, what is m?

Slope of a line perpendicular to y = x.

Perpendicular slope to m = -1.

Line parallel to y = 10x - 1.

Solve: \(|x + 4| = |2x - 1|\)

In solving x + 7 = -3, a student gets x = 4. What did they do wrong?

Solve: \(3x + 4 = 3x - 2\)

Which point lies on y - 1 = 2(x + 3)?

A line that is perfectly flat (horizontal) has which type of slope?

The solution to a system of equations on a graph is located at the ________ of the two lines.

If two equations in a system represent the exact same line, the system is said to have

Convert y = 2/3x - 1 to Standard Form (no fractions).

The length of a rectangle is 3cm more than the width. If the perimeter is 26cm, find the width.

For the vertical line x = 4, what is the y-intercept?

Solve for x: \(m(x - n) = p(x + q)\)

When you multiply the slopes of two perpendicular lines (that are not vertical or horizontal), the product is always

Find the slope: \((0, 0) and (5, 5).\)

What is the slope of 5x + 2y = 20?

Slope of a line through the origin and (2, 4)?

Which form is most useful for identifying the y-intercept at a glance?

Find a line parallel to y = 2x - 3 passing through the origin (0,0).

If the slope of a line is positive, and the y-intercept is negative, in which quadrant will the x-intercept be located?

Convert y + 1 = -2(x - 4) to slope-intercept form.

Find the x-intercept of the line y = 3x - 9.

If two lines have the same slope AND the same y-intercept, which of the following is true?

What is the slope of x = 10?

Parallel slope to m = 0.75.

In the equation Ax + By = C, what is this specific form called?

What is the slope of y = -3?

Which line is parallel to x = 0 (the y-axis)?

The sum of four consecutive integers is 66. Find the smallest.

Two angles of a triangle are equal. The third is 30° more than the others. Find the equal angles.

The units digit is double the tens digit. Reversing them increases the value by 18. Find the number.

Are y = 3x + 4 and 6x - 2y = 10 parallel?

Solve: \(10 - x = 15\)

Slope of a line through (1, 1) and (2, 3) in y=mx+b form.

What is the slope of the line passing through (5, -3) and (2, -3)?

Convert 2x - y = 5 to slope-intercept form.

An angle is 20° less than its complement. Find the angle.

Slope perpendicular to m = 5/6.

Which equation format is known as Slope-Intercept form?

In the equation y = -4x + 7, what is the y-intercept?

When two lines in a system are parallel and never touch, how many solutions does the system have?

Which represents the same line as y = 2x - 4?

Are 4x - y = 2 and y = 4x + 7 parallel?

Line parallel to y = -4x + 1.

Find the slope of y = x.

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

Solve for c: \(1/a = 1/b + 1/c\)

Two joggers start at the same point and run in opposite directions. One runs at 6 mph, the other at 8 mph. When will they be 21 miles apart?

The slope of Line J is -2/7. To find the perpendicular slope, you flip the fraction and change the sign. What is the result?

A line with an undefined slope passes through (7, -1). What is its x-intercept?

Slope between (-5, 2) and (-5, 8)?

Identify form: \(y = 10.\)

What is the slope of the line 3x + 2y = 10?

Solve: \(5(x + 1) = 5x + 1\)

What is the y-intercept of y + 2 = 3(x - 1)?

Calculate the slope of the line passing through (-2, 4) and (1, 10).

For the horizontal line y = -3, what is the x-intercept?

In the point-slope form y - y1 = m(x - x1), what does the 'm' represent?

Y-intercept of x + y = 10?

Which line is perpendicular to y = 0 (the x-axis)?

If a line has a positive x-intercept and a positive y-intercept, which direction must the slope be?

Solve: \((x/4) + (x/3) = 7\)

Equation of a line perpendicular to y = 3x through (0,0).

Which point is the solution to the system { x - y = 4 ; x + y = 10 }?

Convert y = -x + 6 to Standard Form.

A student simplifies an equation to 0 = 0. This means the original equation is a(n) ________.

Solve: \(|3x + 2| = 11\)

Two lines are parallel if they are in the same plane and never intersect. Mathematically, this means their slopes must be

If a line passes through the origin (0, 0), what are its intercepts?

Standard form of y = -4/5x + 2.

Convert 15x + 3y = 9 to slope-intercept form.

What is the y-intercept of y = 12x?

A two-digit number ends in 5. The sum of digits is 1/7 of the number. Find the number.

The formula for perimeter is P = 2L + 2W. Solve for W.

Slope between (4, 3) and (8, 3)?

Perpendicular lines meet at a 90-degree angle. Their slopes are 'negative reciprocals,' meaning if one slope is a/b, the other is

What is the x-intercept of the line x + y = 0?

A plumber charges $50 for a visit plus $30 per hour. Which equation represents the total cost (C) for (h) hours?

One number is 5 more than twice another. Their sum is 20. Find the smaller number.

Identify the point and slope from: \(y + 2 = 0.5(x - 7)\)

John can paint a room in 3 hours. Dave takes 6 hours. How long together?

Solve for h: \(V = (1/3)πr²h\)

Which form is Ax + By = C?

A student calculates slope between (1, 2) and (3, 10) as (3 - 1) / (10 - 2) = 2/8. What was the error?

In the Standard Form Ax + By = C, which of the following is usually a requirement for the coefficient A?

Point-slope through (-1, -1) with m = 5.

Slope of a line parallel to y = -1/2x + 8.

Find the slope (m) between (1, 2) and (3, 6).

Standard form of y - 3 = 0.5(x + 4).

Solve: \(5 / (2x - 3) = 2 / (x + 1)\)

A student solves a system and gets '0 = 5'. What does this result indicate?

Convert 2x - y = 5 into slope-intercept form (y = mx + b).

If y = 3, what is the slope?

Slope of y = 10?

Write an equation in point-slope form for a line with m = -1 through (0, 0).

If a line goes 'downhill' from left to right, what kind of slope does it have?

Y-intercept of 4x + 2y = 12?

Solve: \(|x - 4| = 2x + 1\)

To convert 3x + y = 10 into slope-intercept form, what is the first algebraic step?

Calculate the y-intercept for the line 0.5x + 0.1y = 1.

Solve: \(3(2x - 4) = 6x - 12\)

Convert 3x - 3y = 9 to slope-intercept form.

Solve for a: \(F = ma\)

In an isosceles triangle, the vertex angle is 40°. Find the base angles.

Solve: \(2|x + 3| - 4 = 10\)

A student says y = 2x + 5 and y = -2x + 3 are perpendicular. What is their mistake?

Convert y - 10 = -1(x + 5) to slope-intercept.

Find the slope of -2x + 8y = 16.

Perpendicular slope to m = 1/8.

Convert 7x + y = 14 to slope-intercept form.

Which equation is in slope-intercept form?

Calculate the slope between (-1/2, 2) and (1/2, 5).

What is the constant 'C' in the standard form of y = 2x + 5?

Find slope: \((10, 5) and (12, 4).\)

Are y = 2x + 1 and y = 2x - 1 parallel?

Find line parallel to y = -x + 4 through (0, 5).

X-intercept of 5x + 10y = 50?

If a line has a slope of 0 and passes through (2, 5), what is its equation?

Solve for w: \(P = 2l + 2w\)

Is y = 5 parallel to y = -5?

Find the slope of the line: \(y + 8 = -5(x - 2).\)

What is the slope of a vertical line like x = 5?

Which of the following is perpendicular to the vertical line x = -4?

Parallel slope to m = 1.

Which line is perpendicular to y = -2x + 1?

X-intercept of y = 2x + 10?

Which line is perpendicular to x = 4?

Solve: \(2(x + 3) = 2x + 6\)

Does the point (1, 5) satisfy the equation y = 2x + 3?

What is the slope of the x-axis?

Slope parallel to m = -2/9.

Solve: \(3 / x = 12 / (x + 3)\)

Parallel lines must have the same ______.

Y-intercept of y = -x - 4?

The sum of the digits of a 2-digit number is 9. Reversing the digits increases it by 27. Find the number.

I drive 60 miles at 30 mph and 60 miles at 60 mph. What is the total travel time?

Solve: \((2/5)x - 1 = (1/10)x + 2\)

Find slope: \((-1, -1) and (1, 1).\)

If a line has a slope of 2/3, what is the slope of a perpendicular line?

Solve for m: \(y = mx + b\)

Line A has a slope of -5. If Line B is parallel to Line A, what is its slope?

Slope of x = -100?

The x-intercept of a line is the point where the graph crosses the x-axis. At this point, what is always the value of y?

Slope between (2, 1) and (4, 2)?

Line perpendicular to y = 1/5x + 2.

Find the x-intercept of 2x + 4y = 8.

Convert y = 3x - 4 to Standard Form.

How many solutions exist for |x - 2| + 5 = 5?

Find the equation of a line parallel to y = 4x + 1 that passes through (0, -3).

Solve: \(x / (x - 2) = 2 / (x - 2) + 1\)

Solve for x: \((x + a) / b = (x - b) / a\)

Find k if 4x - 9 = kx + 2 has no solution.

A system has one solution. If the first line has a slope of 3, which of the following MUST be true about the second line?

Solve: \(|x/2 - 1| = 3\)

Are x = 2 and x = 5 parallel?

Find the perpendicular slope to m = -0.1.

If the side of a square is doubled, the perimeter increases by 20 units. What was the original side?

Which slope is perpendicular to m = -3/4?

Point-slope form of a line with m=4 through (2, 2).

Are y = x + 2 and y = -x + 2 perpendicular?

What is the x-intercept of x = -2?

If a line has a slope of 4, what is the slope of a line that is perpendicular to it?

Slope of a line parallel to 2x - 5y = 10.

What is the slope of 0.2x - 0.2y = 1?

Solve: \(|3x - 5| = |3x + 5|\)

If two lines in a system are parallel, how many solutions exist?

Solve for x in terms of a and b: \(a(x - b) = b(x + a)\)

Convert 10x - 2y = 8 to slope-intercept form.

Find the slope of 3x - 4y = 12.

Find the y-intercept of 2x + 5y = 20.

Solve: \((x + 1) / 2 - (x - 1) / 3 = 2\)

Solve the formula for h: \(V = πr²h\)

A student solves 4x = 2 and says x = 2. What was the error?

A boat travels 12 mph in still water. If the river current is 3 mph, how long is a 45-mile trip upstream?

Solve: \(2/x + 3/x = 1\)

Write the Standard Form of a line where m = 2 and the y-intercept is 3.

Solve for C: \(F = (9/5)C + 32\)

Slope perpendicular to m = 1/3.

If I walk at 5 mph instead of 4 mph, I save 15 minutes. How far am I walking?

A line that goes straight up and down (vertical) has which type of slope?

Two angles are supplementary. One is triple the other. Find the smaller angle.

Is (2, 3) a solution to the system: \(x + y = 5 and 2x - y = 1?\)

If you have y - 4 = 2(x - 3), what is the resulting equation in slope-intercept form after simplifying?

A car leaves at 40 mph. 1 hour later, a second car leaves at 60 mph. How long after the second car starts will it catch the first?

An exterior angle of a triangle is 110°. One interior opposite angle is 40°. Find the other interior opposite angle.

A number's 3/4 part is 10 more than its 1/2 part. Find the number.

Solve for r: \(C = 2πr\)

Slope perpendicular to m = 10.