Which of the following numbers is an irrational number?
Numbers And Operations
Question · Easy
Slope: up or down? Pick fast
Short
Simplify the expression: 4³ × 4⁵.
Write the number 0.00045 in standard scientific notation.
What is the value of 7⁰ + 7⁻¹?
Evaluate: ∛64 + √49.
Find x
Which of the following is equivalent to (3²)³?
Convert 6.2 × 10³ to standard decimal notation.
Between which two consecutive integers does √50 lie?
Simplify: (5.4 × 10⁸) ÷ (1.8 × 10³). Write your answer in scientific notation.
Question · Medium
Evaluate: (2 × 10⁴) + (3.5 × 10⁵). Express the answer in scientific notation.
Which fraction is equivalent to the repeating decimal 0.444...?
Simplify the expression: (2x⁻³y⁴)² / (x²y⁻²).
A red blood cell has a diameter of 8.4 × 10⁻⁶ meters. A virus has a diameter of 2.1 × 10⁻⁸ meters. How many times larger is the red blood cell than the virus?
Which list orders the real numbers √9, π, 3 1/3, and 3.5 from least to greatest?
Simplify: (3.0 × 10⁻⁴) × (5.0 × 10⁻³). Write your answer in scientific notation.
Solve for x: x³ = -125.
Simplify: (8² × 8⁻⁵) / 8⁻⁴.
A light-year is approximately 5.88 × 10¹² miles. How far does light travel in 2.5 years?
Which of the following numbers is rational?
Convert the repeating decimal 0.181818... to a simplified fraction.
Evaluate: √(144 / 169).
Simplify: (4 × 10⁻⁵)² / (8 × 10⁻⁸). Express the result in scientific notation.
Question · Hard
A nation's national debt is approximately $3.2 × 10¹² and its population is 8.0 × 10⁷ people. What is the average debt per person?
Solve for y: 2y² = 98.
Which expression is equivalent to (a⁻² b³ / c⁻⁴)⁻³?
Solve for x: 3x + 8 = 29.
Algebraic Concepts
What is the slope of the line represented by the equation y = -4x + 9?
Which equation represents a line with a slope of 3 and a y-intercept of -2?
Solve for m: 5m - 3 = 2m + 12.
Which of the following tables represents a linear function?
Solve for x: 4(x - 2) = 20.
Is the ordered pair (2, 7) a solution to the system of linear equations y = 2x + 3 and y = x + 5?
What is the y-intercept of the line given by the equation 2x + 3y = 12?
Which of the following equations represents a non-linear relationship?
Find the slope of the line passing through the points (1, 3) and (4, 12).
Solve for x: 2(3x - 5) + 4 = 4x + 10.
How many solutions does the linear equation 3(x + 4) = 3x + 12 have?
How many solutions does the linear equation 5x + 3 = 5x - 7 have?
Solve the system of equations: y = 2x - 1 3x + 2y = 12
Function A is defined by y = 4x + 5. Function B is a line passing through (0, 2) and (3, 17). Which function has a greater rate of change?
A rental car company charges a flat fee of $35 plus $0.20 per mile driven. Which equation models the total cost C for d miles driven?
Solve for x: (x - 3) / 4 = (x + 1) / 6.
Solve the system of equations: x + y = 10 2x - y = 8
Which equation represents a line parallel to y = -3x + 7?
Company A charges a setup fee of $20 plus $15 per hour. Company B charges $20 per hour with no setup fee. At how many hours will both companies charge the exact same amount?
A line passes through the point (2, 5) and has a slope of -2. What is the equation of the line in slope-intercept form?
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