Equations & Inequalities
This type of equation can be solved by adding or subtracting the same value to both sides.
What is a one-step equation?
The slope formula uses these two points: (x₁, y₁) and (x₂, y₂).
What is (y₂ - y₁)/(x₂ - x₁)?
A polynomial with exactly three terms is called this.
What is a trinomial?
The standard form of a quadratic function is this.
What is y = ax² + bx + c?
When simplifying 2⁴, you get this result.
What is 16?
When solving |x + 3| = 7, you get these two solutions.
What are x = 4 and x = -10?
A line with equation y = -2x + 5 has this slope and y-intercept.
What are slope = -2 and y-intercept = 5?
When multiplying (x + 3)(x - 2), you get this result.
What is x² + x - 6?
To solve x² = 25, you take this operation on both sides.
What is the square root?
The number 3,500,000 written in scientific notation is this.
What is 3.5 × 10⁶?
The solution to the inequality 2x - 5 > 11 is this.
What is x > 8?
This method for solving systems involves adding or subtracting equations to eliminate a variable.
What is elimination?
The factored form of x² - 9 is this.
What is (x + 3)(x - 3)?
The simplified form of √50 is this.
What is 5√2?
For the rational expression (x + 2)/(x - 3), this value of x makes the expression undefined.
What is x = 3?
In the compound inequality -3 < 2x + 1 < 9, x is between these two values.
What are -2 and 4? (or -2 < x < 4)
When two lines have the same slope but different y-intercepts, the system has this type of solution.
What is no solution (parallel lines)?
To factor x² + 7x + 12, you need two numbers that multiply to 12 and add to this.
What is 7?
In the quadratic formula, the expression under the square root sign is called this.
What is the discriminant?
When dividing x⁸ by x³, you get this result.
What is x⁵?
When solving the rational equation (x + 2)/(x - 1) = 3, you must check for this type of solution.
What is an extraneous solution?
In direct variation, if y = 12 when x = 4, then the constant of variation is this value.
What is 3?
The first step in factoring 3x² + 6x - 9 is to factor out this common factor.
What is 3?
The distance between points (-1, 2) and (3, 5) is this value.
What is 5?
To add 2/(x-1) + 3/(x+1), you need this common denominator.
What is (x-1)(x+1) or x² - 1?