Which of the following numbers is an irrational number?
Real Numbers And Exponents
Question · Easy
Slope: up or down? Pick fast
Short
Between which two consecutive integers does sqrt(45) lie?
Simplify the expression (3^4) * (3^5).
What is the value of 5^(-2)?
Express 0.00048 in scientific notation.
Find x
Solve for x: x^3 = 64.
Convert the repeating decimal 0.444... into a fraction in simplest form.
Question · Medium
Simplify (2 * x^3 * y^4)^3.
Evaluate (4.2 * 10^5) + (3.1 * 10^4) and express the answer in scientific notation.
Tear the corners off any triangle…
Compute (6.0 * 10^8) / (2.0 * 10^3) in scientific notation.
Which value is the best approximation for sqrt(80) to the nearest tenth?
Which of the following statements is ALWAYS true?
Simplify (4^7 / 4^3)^(-1).
A cube has a total surface area of 150 square inches. What is the volume of the cube?
A red blood cell is about 7.5 * 10^(-6) meters long. A grain of sand is about 1.5 * 10^(-3) meters long. How many times longer is the grain of sand than the red blood cell?
Convert the repeating decimal 0.1666... (where only 6 repeats) into a fraction in simplest form.
Question · Hard
Solve for y: (y - 3)^2 = 49.
Which value of n makes the equation (2^n * 4^3) / 8^2 = 2^5 true?
Order the following numbers from least to greatest: pi, sqrt(10), 3.2, 3 1/3.
The total area of Utah is about 2.2 * 10^5 square kilometers. The area of Salt Lake County is about 2.0 * 10^3 square kilometers. Approximately what percentage of Utah's total area is Salt Lake County?
Solve for x: 4x - 7 = 21.
Linear Equations And Systems
What is the slope of the line passing through points (1, 3) and (5, 11)?
In the linear equation y = -3x + 8, what are the slope and y-intercept?
A car travels at a constant speed of 65 miles per hour. Which equation represents distance d driven in t hours?
How many solutions does the equation 3x + 5 = 3x + 9 have?
How many solutions does the equation 2(4x + 3) = 8x + 6 have?
What is the point of intersection for the system of equations y = 2x + 1 and y = 5?
Solve for x: 5(x - 2) = 3x + 14.
Solve for x: 0.4(2x + 5) = 1.2x - 2.
Solve the system of equations: y = 3x - 4 and 2x + y = 11.
Using elimination, solve the system: 3x + 2y = 16 and 3x - 2y = 8.
A gym charges a $25 fee plus $15 per month. Another gym charges no fee but $20 per month. After how many months will the total cost of both gyms be equal?
A line passes through (-2, 7) and (4, -5). What is the slope of the line?
Which equation represents a line parallel to y = 4x - 3 and passing through the origin (0, 0)?
Ethan bought 3 notebooks and 2 pens for $14. Maya bought 2 notebooks and 4 pens for $16. What is the price of one notebook?
How many solution points exist for the linear system y = -2x + 6 and 4x + 2y = 12?
How many solutions exist for the system y = 3x - 5 and y = 3x + 2?
The table below shows a proportional relationship between time in minutes (x) and distance in meters (y): (2, 50), (5, 125), (8, 200). What is the unit rate in meters per minute?
Solve for x: (1/3)x + 4 = (1/2)x - 1.
What is the x-intercept of the line 3x - 4y = 12?
Solve for x: 3(2x - 1) - 2(x + 4) = 13.
A school store sold 150 items (pencils and markers) for $180. Pencils cost $0.75 each and markers cost $1.50 each. How many markers were sold?
A line passes through (3, 8) and is perpendicular to y = -(1/2)x + 5. What is the equation of the line?
For what value of k will the system 2x - 3y = 7 and 6x - ky = 21 have infinitely many solutions?
A tank contains 250 gallons of water and drains at 12 gallons/min. A second tank has 100 gallons and fills at 18 gallons/min. After how many minutes will both tanks contain equal water?
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