Which of the following numbers is an irrational number?
The Number System
Question · Easy
Find x
Short
Which statement correctly describes the decimal expansion of a rational number?
Between which two consecutive integers does √50 lie on a number line?
Simplify the expression 3⁴ × 3² using exponent rules.
Expressions And Equations
Simplify the expression (4³)².
Two lines, one point: an emo ballad
Simplify 5⁸ / 5³.
Write 520,000 in scientific notation.
Convert 4.1 × 10⁻⁴ to standard form.
Evaluate √144.
Evaluate ∛64.
What is the slope (unit rate) of the proportional line represented by y = 6x?
Solve for x: 3x + 7 = 22.
Solve for x: 2(x - 4) = 10.
What is the y-intercept of the line y = -4x + 9?
Which set of ordered pairs represents a function?
Functions
If f(x) = 4x - 5, what is f(3)?
Which of the following equations represents a non-linear function?
A linear table shows that when x = 0, y = 4, and when x = 1, y = 7. What is the initial value (y-intercept) of this function?
Point A is located at (3, 5). What are the coordinates of A' after a translation of 4 units left and 2 units up?
Geometry
What are the coordinates of point P(4, -2) when reflected across the x-axis?
A right triangle has legs of length 6 cm and 8 cm. What is the length of the hypotenuse?
Do the side lengths 5, 12, and 13 form a right triangle?
What is the volume of a cylinder with radius 3 cm and height 10 cm? (Use V = πr²h)
A scatter plot shows that as student study hours increase, test scores also increase. What type of association is shown?
Statistics And Probability
What is an outlier in a scatter plot?
Which fraction is equivalent to the terminating decimal 0.45?
What is the value of 7⁰?
Rewrite 4⁻³ using a positive exponent.
Does the table below represent a function? x | 1 | 2 | 3 | 4 y | 5 | 5 | 5 | 5
In a survey of 100 students, 60 like pizza and 40 like tacos. If 25 students like both pizza and tacos, how many students like pizza but NOT tacos?
Convert the repeating decimal 0.363636... to a fraction in simplest form.
Question · Medium
Which of the following numbers is the best approximation for √27 to the nearest tenth?
Place the following numbers in order from least to greatest: √10, 3.5, 8/3, π.
Simplify (2x³y⁻²)⁴ / (4x⁵y⁻⁶).
Evaluate (4.2 × 10⁶) + (3.5 × 10⁵) and express the answer in scientific notation.
Calculate (6.0 × 10⁸) ÷ (1.5 × 10⁻³). Express the result in scientific notation.
Solve for x: 4(2x - 3) = 3(x + 6).
How many solutions does the equation 3(x - 4) = 3x - 12 have?
How many solutions does the equation 5x + 8 = 5x - 3 have?
Line A passes through (2, 5) and (6, 17). What is the slope of Line A?
What is the solution to the system of linear equations? y = 2x + 1 3x + y = 11
Solve the system of equations by elimination: 2x + 3y = 14 2x - y = 2
Function A is represented by y = 4x - 3. Function B is represented by a table with points (1, 2) and (3, 10). Which function has a greater rate of change (slope)?
A food truck charges a flat setup fee plus a constant price per taco. 5 tacos cost 17.50 dollars, and 10 tacos cost 30.00 dollars. What is the flat setup fee (initial value)?
Which statement correctly describes a non-linear graph?
Triangle ABC with vertices A(1, 2), B(4, 2), C(1, 6) is rotated 90° counterclockwise about the origin. What are the coordinates of image vertex C'?
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