Which of the following is an irrational number?
Number System
Question · Easy
Find x
Short
Between which two consecutive integers does \sqrt{50} lie?
Which decimal is equivalent to the fraction 5/11?
On a number line, which point best approximates the value of \sqrt{18}?
What fraction in simplest form is equal to the repeating decimal 0.666...?
Question · Medium
Two lines, one point: an emo ballad
Convert the repeating decimal 0.1666... (where only the 6 repeats) to a fraction in simplest form.
Which list correctly orders the numbers \sqrt{10}, 3.1, \pi, and 3.5 from least to greatest?
Which of the following inequality statements is true?
Which statement about rational and irrational numbers is always true?
What is the closest integer estimate for the value of 2\sqrt{27}?
Convert the repeating decimal 0.24545... (where only 45 repeats) to a fraction in simplest form.
Question · Hard
A square garden has an area of 45 square feet. A diagonal path is built across the garden. Between which two whole numbers is the length of the diagonal path in feet?
Simplify the expression 4^3 \times 4^5.
Expressions Equations
Simplify the expression (7^9) / (7^4).
What is the numerical value of 5^{-3}?
Solve the equation x^2 = 81.
Solve the equation y^3 = 64.
Express the number 0.00045 in standard scientific notation.
A table of a proportional relationship shows (x, y) values: (0, 0), (2, 6), (4, 12), (6, 18). What is the unit rate (slope) of this relationship?
A straight line passes through the points (0, 3) and (2, 7). What is the slope of the line?
Simplify the expression ((3^2 \cdot x^4)^3) / (3^4 \cdot x^5).
Country A has a population of 3.2 \times 10^7 and Country B has a population of 1.6 \times 10^9. How many times larger is Country B's population than Country A's?
Calculate (4.2 \times 10^5) + (3.8 \times 10^4) and write the answer in scientific notation.
Evaluate (2.5 \times 10^{-3}) \times (6.0 \times 10^7) and express in scientific notation.
A line has a slope of -3/4 and passes through the point (0, 5). Which equation represents this line?
How many solutions does the linear equation 3(2x - 4) = 6x - 12 have?
Which of the following linear equations has no solution?
Solve for x: 2(3x - 5) + 4 = 4x - 8.
Solve for y: (1/2)y + 3 = (3/4)y - 1.
What is the point of intersection for the linear system y = 2x + 1 and y = -x + 7?
Solve the system of equations: x + y = 10 and 2x - y = 8.
Solve the system of equations: 3x + 2y = 12 and 3x - 2y = 0.
A school sold 200 tickets for a play. Student tickets cost $5 each and adult tickets cost $8 each. Total revenue was $1,300. How many student tickets were sold?
Taxi Company A charges a $3 flat fee plus $2 per mile. Taxi Company B charges a $5 flat fee plus $1.50 per mile. At how many miles is the total cost of both companies equal?
Simplify the expression ((2^3 \cdot 5^{-2})^{-2} \cdot (4^0 \cdot 5^4)) / (2^{-5}).
Light travels at approximately 3.0 \times 10^8 meters per second. The distance from the Sun to Earth is approximately 1.5 \times 10^{11} meters. How many seconds does it take for light to travel from the Sun to Earth?
Solve for x: -3(2x - 5) + 4 = 2(x + 1) + 1.
Solve the linear system: (1/2)x + (1/4)y = 4 and (1/3)x - (1/2)y = 0.
A motorboat takes 2 hours to travel 24 miles downstream with the current. The return trip upstream against the current takes 3 hours. What is the speed of the current?
Maya starts with $50 savings and adds $15 each week. Liam starts with $0 savings and adds $25 each week. After how many weeks will Liam have strictly more savings than Maya?
Which set of ordered pairs represents a function?
Functions
The Vertical Line Test is used to determine if a graph represents a function. Why does a vertical line intersecting a graph at two points mean the relation is NOT a function?
Which equation represents a linear function?
What is the y-intercept of the linear function y = -5x + 8?
A water tank starts with 50 gallons of water and drains at a constant rate of 4 gallons per minute. What is the rate of change of water volume in gallons per minute?
A car travels at a constant speed on a highway for 30 minutes. Which line segment on a Speed vs. Time graph represents this motion?
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