conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Which property is shown: 5 * (3 + 2) = 5 * 3 + 5 * 2?"
},
{
"from": "assistant",
"value": "Distributive property"
}
] |
[
{
"from": "human",
"value": "What is the additive identity?"
},
{
"from": "assistant",
"value": "Identity properties"
}
] |
[
{
"from": "human",
"value": "Simplify: 12 - 8 + 4 * 2"
},
{
"from": "assistant",
"value": "Order of operations"
}
] |
[
{
"from": "human",
"value": "What is |-12|?"
},
{
"from": "assistant",
"value": "Absolute value"
}
] |
[
{
"from": "human",
"value": "Translate: 'three less than four times a number'"
},
{
"from": "assistant",
"value": "Writing expressions"
}
] |
[
{
"from": "human",
"value": "Combine like terms: 5y - 2y + 8y"
},
{
"from": "assistant",
"value": "Combining like terms"
}
] |
[
{
"from": "human",
"value": "Use distributive property: -3(x + 4)"
},
{
"from": "assistant",
"value": "Distributive property"
}
] |
[
{
"from": "human",
"value": "Which property: a + b = b + a?"
},
{
"from": "assistant",
"value": "Commutative property"
}
] |
[
{
"from": "human",
"value": "Evaluate: 15 - 3 * 4 + 2"
},
{
"from": "assistant",
"value": "Order of operations"
}
] |
[
{
"from": "human",
"value": "What is the multiplicative inverse of 5?"
},
{
"from": "assistant",
"value": "Inverse properties"
}
] |
[
{
"from": "human",
"value": "Simplify: 4x - 7x + 2x"
},
{
"from": "assistant",
"value": "Combining like terms"
}
] |
[
{
"from": "human",
"value": "Distribute: 2(3x - 5)"
},
{
"from": "assistant",
"value": "Distributive property"
}
] |
[
{
"from": "human",
"value": "What is x if 2x + 5 = 17?"
},
{
"from": "assistant",
"value": "Two-step equations"
}
] |
[
{
"from": "human",
"value": "Find the value of x: 4x - 3 = 2x + 9"
},
{
"from": "assistant",
"value": "Variables on both sides"
}
] |
[
{
"from": "human",
"value": "Solve: 3(x + 2) = 21"
},
{
"from": "assistant",
"value": "Multi-step equations"
}
] |
[
{
"from": "human",
"value": "What is the solution to 5x - 8 = 3x + 4?"
},
{
"from": "assistant",
"value": "Variables on both sides"
}
] |
[
{
"from": "human",
"value": "Solve for w: P = 2l + 2w"
},
{
"from": "assistant",
"value": "Literal equations"
}
] |
[
{
"from": "human",
"value": "Isolate a in the equation F = ma"
},
{
"from": "assistant",
"value": "Literal equations"
}
] |
[
{
"from": "human",
"value": "Find x when 6x + 1 = 4x - 7"
},
{
"from": "assistant",
"value": "Variables on both sides"
}
] |
[
{
"from": "human",
"value": "Solve: 2(x - 4) = 3x + 1"
},
{
"from": "assistant",
"value": "Multi-step equations"
}
] |
[
{
"from": "human",
"value": "What is x in the equation x/4 + 3 = 8?"
},
{
"from": "assistant",
"value": "Equations with fractions"
}
] |
[
{
"from": "human",
"value": "What is the solution to 7 - 2x = 15?"
},
{
"from": "assistant",
"value": "Two-step equations"
}
] |
[
{
"from": "human",
"value": "Find the values of x where 3x + 4 < 19"
},
{
"from": "assistant",
"value": "Linear inequalities"
}
] |
[
{
"from": "human",
"value": "What values of x satisfy -2x + 7 >= 3?"
},
{
"from": "assistant",
"value": "Linear inequalities"
}
] |
[
{
"from": "human",
"value": "Solve the compound inequality: 1 < 3x - 2 <= 10"
},
{
"from": "assistant",
"value": "Compound inequalities"
}
] |
[
{
"from": "human",
"value": "Find all solutions to |x + 3| = 8"
},
{
"from": "assistant",
"value": "Absolute value equations"
}
] |
[
{
"from": "human",
"value": "What values of x make |3x - 1| > 5 true?"
},
{
"from": "assistant",
"value": "Absolute value inequalities"
}
] |
[
{
"from": "human",
"value": "Graph x < 4 on a number line"
},
{
"from": "assistant",
"value": "Graphing inequalities"
}
] |
[
{
"from": "human",
"value": "Solve the inequality: 4x - 1 <= 2x + 5"
},
{
"from": "assistant",
"value": "Linear inequalities"
}
] |
[
{
"from": "human",
"value": "Find the solution set for |2x + 5| <= 7"
},
{
"from": "assistant",
"value": "Absolute value inequalities"
}
] |
[
{
"from": "human",
"value": "Convert 60 mph to km/h (1 mile = 1.6 km)"
},
{
"from": "assistant",
"value": "Unit conversions"
}
] |
[
{
"from": "human",
"value": "A car travels 240 miles in 4 hours. What is the unit rate?"
},
{
"from": "assistant",
"value": "Unit rates"
}
] |
[
{
"from": "human",
"value": "Convert 3 feet 6 inches to inches"
},
{
"from": "assistant",
"value": "Unit conversions"
}
] |
[
{
"from": "human",
"value": "If 5 pounds of apples cost $8, what is the cost per pound?"
},
{
"from": "assistant",
"value": "Unit rates"
}
] |
[
{
"from": "human",
"value": "A measurement of 25.3 cm has an error of +/- 0.2 cm. Find the percent error"
},
{
"from": "assistant",
"value": "Percent error"
}
] |
[
{
"from": "human",
"value": "Convert 2.5 hours to minutes"
},
{
"from": "assistant",
"value": "Unit conversions"
}
] |
[
{
"from": "human",
"value": "Is {(2,3), (4,5), (2,7)} a function?"
},
{
"from": "assistant",
"value": "Function definition"
}
] |
[
{
"from": "human",
"value": "What is the domain of f(x) = sqrt(x + 5)?"
},
{
"from": "assistant",
"value": "Domain and range"
}
] |
[
{
"from": "human",
"value": "Find the range of f(x) = -x^2 + 4"
},
{
"from": "assistant",
"value": "Domain and range"
}
] |
[
{
"from": "human",
"value": "If g(x) = 3x + 1, find g(-2)"
},
{
"from": "assistant",
"value": "Function evaluation"
}
] |
[
{
"from": "human",
"value": "Which function type shows constant rate of change?"
},
{
"from": "assistant",
"value": "Function types"
}
] |
[
{
"from": "human",
"value": "Is the relation y = x^2 a function?"
},
{
"from": "assistant",
"value": "Function definition"
}
] |
[
{
"from": "human",
"value": "What is the domain of h(x) = 1/(x + 2)?"
},
{
"from": "assistant",
"value": "Domain and range"
}
] |
[
{
"from": "human",
"value": "If f(5) = 12, what does this mean?"
},
{
"from": "assistant",
"value": "Function notation"
}
] |
[
{
"from": "human",
"value": "Find the slope between (-1, 3) and (2, 9)"
},
{
"from": "assistant",
"value": "Slope"
}
] |
[
{
"from": "human",
"value": "What is the slope of y = 4x - 1?"
},
{
"from": "assistant",
"value": "Slope-intercept form"
}
] |
[
{
"from": "human",
"value": "Write the equation with slope -2 through (3, 5)"
},
{
"from": "assistant",
"value": "Point-slope form"
}
] |
[
{
"from": "human",
"value": "Convert to slope-intercept: 2x - 3y = 9"
},
{
"from": "assistant",
"value": "Slope-intercept form"
}
] |
[
{
"from": "human",
"value": "Find the x-intercept of 5x + 2y = 10"
},
{
"from": "assistant",
"value": "X-intercepts"
}
] |
[
{
"from": "human",
"value": "Graph y = -x + 4"
},
{
"from": "assistant",
"value": "Graphing lines"
}
] |
[
{
"from": "human",
"value": "A taxi charges $3 plus $2 per mile. Write the function"
},
{
"from": "assistant",
"value": "Linear modeling"
}
] |
[
{
"from": "human",
"value": "What is the y-intercept of 3x + 4y = 16?"
},
{
"from": "assistant",
"value": "Y-intercept"
}
] |
[
{
"from": "human",
"value": "Find the slope of a line parallel to y = 5x + 2"
},
{
"from": "assistant",
"value": "Parallel lines"
}
] |
[
{
"from": "human",
"value": "Write in point-slope form: slope 3, point (2, 7)"
},
{
"from": "assistant",
"value": "Point-slope form"
}
] |
[
{
"from": "human",
"value": "Find the solution to the system: x + 2y = 10, 3x - y = 4"
},
{
"from": "assistant",
"value": "Systems of equations"
}
] |
[
{
"from": "human",
"value": "Use substitution to solve: x = 3y, 2x + y = 14"
},
{
"from": "assistant",
"value": "Substitution method"
}
] |
[
{
"from": "human",
"value": "Solve using elimination: 2x + 3y = 8, 4x - 3y = 10"
},
{
"from": "assistant",
"value": "Elimination method"
}
] |
[
{
"from": "human",
"value": "Graph: y >= 2x - 1, y < -x + 3"
},
{
"from": "assistant",
"value": "Systems of inequalities"
}
] |
[
{
"from": "human",
"value": "Find vertices of: x >= 0, y >= 0, 2x + y <= 8"
},
{
"from": "assistant",
"value": "Linear programming"
}
] |
[
{
"from": "human",
"value": "What are the solutions to: 3x - y = 7, x + 2y = 6?"
},
{
"from": "assistant",
"value": "Systems of equations"
}
] |
[
{
"from": "human",
"value": "How many solutions: y = 2x + 1, y = 2x - 3?"
},
{
"from": "assistant",
"value": "Systems of equations"
}
] |
[
{
"from": "human",
"value": "Solve by graphing: y = x + 2, y = -x + 4"
},
{
"from": "assistant",
"value": "Graphing method"
}
] |
[
{
"from": "human",
"value": "Simplify: a^4 * a^7"
},
{
"from": "assistant",
"value": "Product rule"
}
] |
[
{
"from": "human",
"value": "Simplify: (3y^2)^3"
},
{
"from": "assistant",
"value": "Power rule"
}
] |
[
{
"from": "human",
"value": "Simplify: m^10 / m^4"
},
{
"from": "assistant",
"value": "Quotient rule"
}
] |
[
{
"from": "human",
"value": "What is 8^0?"
},
{
"from": "assistant",
"value": "Zero exponent"
}
] |
[
{
"from": "human",
"value": "Write 0.0000032 in scientific notation"
},
{
"from": "assistant",
"value": "Scientific notation"
}
] |
[
{
"from": "human",
"value": "Is y = 3^x exponential growth or decay?"
},
{
"from": "assistant",
"value": "Exponential growth"
}
] |
[
{
"from": "human",
"value": "Find the 6th term: 4, 9, 14, 19, ..."
},
{
"from": "assistant",
"value": "Arithmetic sequences"
}
] |
[
{
"from": "human",
"value": "Find the 3rd term: 5, 15, 45, ..."
},
{
"from": "assistant",
"value": "Geometric sequences"
}
] |
[
{
"from": "human",
"value": "Simplify: x^-3"
},
{
"from": "assistant",
"value": "Negative exponents"
}
] |
[
{
"from": "human",
"value": "Write 4,200,000 in scientific notation"
},
{
"from": "assistant",
"value": "Scientific notation"
}
] |
[
{
"from": "human",
"value": "Simplify: (2^3)^2"
},
{
"from": "assistant",
"value": "Power rule"
}
] |
[
{
"from": "human",
"value": "What is 3^-2?"
},
{
"from": "assistant",
"value": "Negative exponents"
}
] |
[
{
"from": "human",
"value": "What is the result of (2x^2 - 3x + 5) + (4x^2 + x - 2)?"
},
{
"from": "assistant",
"value": "Adding polynomials"
}
] |
[
{
"from": "human",
"value": "Find the difference: (6x^2 + 2x - 1) - (3x^2 - x + 4)"
},
{
"from": "assistant",
"value": "Subtracting polynomials"
}
] |
[
{
"from": "human",
"value": "Multiply: 4x(x^2 - 3x + 2)"
},
{
"from": "assistant",
"value": "Multiplying polynomials"
}
] |
[
{
"from": "human",
"value": "Use FOIL to expand: (x - 1)(x + 5)"
},
{
"from": "assistant",
"value": "FOIL method"
}
] |
[
{
"from": "human",
"value": "Expand: (3x - 2)^2"
},
{
"from": "assistant",
"value": "Perfect square trinomials"
}
] |
[
{
"from": "human",
"value": "Factor out the GCF from 8x^2 + 12x - 4"
},
{
"from": "assistant",
"value": "Greatest common factor"
}
] |
[
{
"from": "human",
"value": "How do you factor x^2 - 8x + 15?"
},
{
"from": "assistant",
"value": "Factoring trinomials"
}
] |
[
{
"from": "human",
"value": "Factor completely: 4x^2 - 25"
},
{
"from": "assistant",
"value": "Difference of squares"
}
] |
[
{
"from": "human",
"value": "Factor: 2x^3 + 4x^2 + 6x + 12"
},
{
"from": "assistant",
"value": "Factoring by grouping"
}
] |
[
{
"from": "human",
"value": "Multiply: (2x + 1)(x - 4)"
},
{
"from": "assistant",
"value": "FOIL method"
}
] |
[
{
"from": "human",
"value": "Factor the trinomial x^2 + 9x + 20"
},
{
"from": "assistant",
"value": "Factoring trinomials"
}
] |
[
{
"from": "human",
"value": "What are the factors of 9x^2 - 16?"
},
{
"from": "assistant",
"value": "Difference of squares"
}
] |
[
{
"from": "human",
"value": "Where is the vertex of y = x^2 + 6x + 8?"
},
{
"from": "assistant",
"value": "Vertex"
}
] |
[
{
"from": "human",
"value": "Find axis of symmetry: y = 3x^2 - 12x + 5"
},
{
"from": "assistant",
"value": "Axis of symmetry"
}
] |
[
{
"from": "human",
"value": "Find x-intercepts: y = x^2 - 7x + 10"
},
{
"from": "assistant",
"value": "X-intercepts"
}
] |
[
{
"from": "human",
"value": "Convert to vertex form: y = x^2 - 4x + 1"
},
{
"from": "assistant",
"value": "Vertex form"
}
] |
[
{
"from": "human",
"value": "Factor to solve: x^2 + 3x - 10 = 0"
},
{
"from": "assistant",
"value": "Solving by factoring"
}
] |
[
{
"from": "human",
"value": "Find x when x^2 = 49"
},
{
"from": "assistant",
"value": "Square root method"
}
] |
[
{
"from": "human",
"value": "Complete the square: x^2 - 10x + 7"
},
{
"from": "assistant",
"value": "Completing the square"
}
] |
[
{
"from": "human",
"value": "Apply the quadratic formula to x^2 - 4x + 1 = 0"
},
{
"from": "assistant",
"value": "Quadratic formula"
}
] |
[
{
"from": "human",
"value": "Find discriminant: x^2 + 6x + 9"
},
{
"from": "assistant",
"value": "Discriminant"
}
] |
[
{
"from": "human",
"value": "A projectile follows h = -16t^2 + 48t. Find maximum height"
},
{
"from": "assistant",
"value": "Quadratic applications"
}
] |
[
{
"from": "human",
"value": "Solve: 2x^2 - 8x = 0"
},
{
"from": "assistant",
"value": "Solving by factoring"
}
] |
[
{
"from": "human",
"value": "Find y-intercept: y = 2x^2 - 5x + 3"
},
{
"from": "assistant",
"value": "Y-intercept"
}
] |
[
{
"from": "human",
"value": "Simplify: sqrt(64)"
},
{
"from": "assistant",
"value": "Square roots"
}
] |
[
{
"from": "human",
"value": "Simplify: sqrt(75)"
},
{
"from": "assistant",
"value": "Simplifying radicals"
}
] |
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