Algebra concepts tested on the Classic Learning Test's quantitative reasoning section, including equations and functions.
36 cards · basic cards · AI-written, checked twice. Edit anything.
- What is the order of operations, in order?
- Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)
- What is the first step to solve a basic linear equation like 2x + 3 = 11?
- Isolate the variable by undoing operations in reverse order (subtract 3, then divide by 2)
- What is the slope-intercept form of a line?
- y = mx + b, where m is the slope and b is the y-intercept
- What is the point-slope form of a line?
- y - y1 = m(x - x1), using the slope m and one point (x1, y1)
- What is the slope formula between two points (x1, y1) and (x2, y2)?
- m = (y2 - y1) / (x2 - x1)
- What does the substitution method do when solving a system of equations?
- Solves one equation for a variable, then substitutes that expression into the other equation
- What does the elimination method do when solving a system of equations?
- Adds or subtracts the equations to cancel out one variable
- What is the quadratic formula?
- x = (-b plus or minus the square root of (b^2 - 4ac)) / (2a), for ax^2 + bx + c = 0
- What does the discriminant (b^2 - 4ac) tell you about a quadratic equation?
- The number and type of real solutions: positive means two real solutions, zero means one, negative means none real
- What is the zero product property?
- If a product of factors equals zero, at least one of the factors must equal zero
- What is the FOIL method used for?
- Multiplying two binomials, by multiplying First, Outer, Inner, and Last terms
- What is the difference of squares pattern?
- a^2 - b^2 = (a + b)(a - b)
- What does it mean to 'combine like terms'?
- Add or subtract terms that have the same variable raised to the same power
- What does the distributive property state?
- a(b + c) = ab + ac
- What happens to an inequality's sign when you multiply or divide both sides by a negative number?
- The inequality sign flips direction
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