Solve for x: `3(x-4)=2x+6`

Find the x- and y-intercepts of the equation: `2x - 3y = 6`

Write the equation of a line in slope-intercept form (`y = mx + b`) that has a slope of 3 and passes through the point (1, 2)

Solve the inequality and graph the solution on a number line: `3x - 4 gt 8`

Expand: `(x + 3)(x - 4)`

Evaluate `y=2x^2-3x` when `x=-2`

Find the volume of a cylinder with radius r = 3 and height h = 7 using the formula: `V = pi r^2 h`

In a triangle, the angles are in the ratio 2:3:4. Find the measure of each angle.

Two triangles are similar, and the sides of the first triangle are 3, 4, and 5. The longest side of the second triangle is 15. Find the lengths of the other two sides.

At a restaurant, the bill is $150. A sales tax of 8% and a 20% tip are applied. What is the total cost of the meal?

If $2,000 is invested in an account earning 4% interest compounded annually, what will be the balance after 5 years?

Create a monthly budget for a student earning $500 per month from a part-time job, with expenses for transportation ($100), food ($150), entertainment ($100), and savings (remainder).

A person earns $2,000 per month. If 12% of their income goes to taxes, how much do they pay in taxes annually?

You have $50,000 to invest and want to split it between two assets. Asset A offers an expected return of 8%, while Asset B offers 6%. If you allocate 60% of your funds to Asset A and 40% to Asset B, what is the expected return on your portfolio?

A company sells a product for $50 per unit. The fixed costs are $10,000, and the variable cost per unit is $30. How many units must the company sell to break even?

If an insurance policy has a $500 deductible and you have a $3,000 medical bill, how much will you pay out of pocket before insurance covers the rest?

You are carpeting a rectangular room that is 15 feet by 20 feet. The carpet costs $2.50 per square foot. How much will the carpeting cost?

If a file is 1.5 GB and the download speed is 10 Mbps, how long will it take to download?

The grades on a test are: 85, 90, 75, 95, and 80. What is the average grade?

Create a visual display (histogram, box and whisker, or dot plot) of a set of data.

Which do you expect to have a greater standard deviation: the distribution of the number of text messages sent in the last 24 hours or the distribution of the number of hours of sleep in a typical night.

Write an expression to match the words, "the product of twice a number and 6 less than the number"

Tell whether the equation 2x+7=2(x+1) is always, sometimes, or never true.

Graph `2x+5y=10`

If your heart beats 50 beats per minute, how many times will in beat in 30 years?

Would you expect the correlation coefficient for a person’s height and foot length to be positive, negative, or zero?

Find the equation of the line through (-3, 1) and (5, 13)

Solve the system of equations `4x+8y=23` and `x+2y=5`

In the equation `P=8(1.23)^t`, what is the initial quantity? What is the growth rate?

Solve for x: `x^2 + 5x + 6 = 0`

Write the equation of a parabola in vertex form given the vertex (2, -3) and a point (4, 5).

Factor completely: `2x^3 + 3x^2 - 2x - 3`

Solve: `3 sqrt(x - 2) - 6 = 0`

Solve: `2 / (x - 3) - 1/4 = 5`

Solve for x: `2^x = 16`

Rewrite as a single logarithm: `log(x) + 2log(y) - log(z)`

Solve the system of equations: `2x + y = 8` and `3x – y = 4`

Find an equation for a line passing through (1,5) and (3,9)

Determine the domain and range of the function f(x) = 1 / (x - 3).

Find the domain of g(x) = 3 sqrt(x - 2) - 6

If ` f(x) = 2x-3 ` and ` g(x) = 2/(x-1) `, find and simplify ` f(g(x))) `

Find the vertex and x-intercepts of ` f(t) = -16t^2+36t+78 `

Find the vertical and horizontal asymptotes of ` f(x) = (2x^2-5x-25)/(x^2-9) `

Solve: ` 400(1.08)^t = 600 `

Solve: ` log(4x-1) = 2 `

Find an equation for an exponential passing through (1,5) and (3,9)

Verify the identity `1 + tan^2(x) = sec^2(x)`.

In a triangle with A = 40 degrees, B = 60 degrees, and side a = 10, find side b.

Find the amplitude and period of `f(x) = 3sin(2x)`.

Find the 20th term of the arithmetic sequence where a_1 = 5 and d = 3.

Write the equation of an ellipse with a center at (0, 0), a horizontal major axis of length 10, and a vertical minor axis of length 6.

Given `f(x) = 4x^2-3x`, find the slope of the tangent line to `f(x)` at `x=4`

Find: `d/(dx)( 2sqrt(x) - 3/x^2 )`

Find: `d/(dx)( 3x^2 e^x )`

Find: `d/(dx)( 3cos(x^4+1) )`

Find: `d/(dx)( (x^2-3)/(3ln(x)) )`

If `f'(3) lt 0` and `f''(3) gt 0`, desribe the behavior of `f(x)` at `x=3`

Find the relative extrema of `f(x) = 2x + 10/x`

Depending on where you graduated from, passing might mean receiving credit for the course or earning a D (1.0) or higher.