Part Two Flashcards
(25 cards)
What is the solution to the equation 2x + 3 = 11?
x = 4
True or False: The expression 3(x + 4) is equivalent to 3x + 12.
True
Fill in the blank: The slope of the line represented by the equation y = 2x + 5 is ____.
*hint from your lovely host, it appears there is a ✨pattern✨ gasp the answer to these problems seem to alway be the number before X, use this knowledge as you wish🙃
2
What is the value of x in the equation 5x - 10 = 0?
x = 2
Identify the y-intercept of the equation y = -3x + 6.
*is it another pattern???! It appears so! The y-intercept appears to be the number that is added or subtracted from the X
6
What is the result of simplifying the expression 4(2x - 3) + 6?
8x - 6
True or False: The quadratic equation x^2 - 5x + 6 = 0 can be factored as (x - 2)(x - 3) = 0.
True
What is the vertex of the parabola represented by the equation y = x^2 - 4x + 3?
(2, -1)
If f(x) = 3x + 2, what is f(2)?
8
What is the domain of the function f(x) = 1/(x - 3)?
All real numbers except x = 3
What is the solution set for the inequality 2x + 5 < 13?
x < 4
Multiple Choice
Which of the following is a solution to the equation x^2 + 5x + 6 = 0? (a) -2 (b) 1 (c) -3
-2 and -3
Fill in the blank: The expression for the area of a rectangle is ____.
length × width
What is the standard form of the equation of a circle with center at (0, 0) and radius 4?
x^2 + y^2 = 16
True or False: The equation y = mx + b is the slope-intercept form of a linear equation.
True
Calculate the value of x in the equation 3(x - 1) = 2(x + 3).
x = 5
What is the factored form of the expression x^2 - 9?
(x - 3)(x + 3)
What is the result of the expression 5 - 3(2 + 4)?
-15
If a = 2 and b = 3, what is the value of 3a + 2b?
12
What is the quadratic formula used to find the roots of ax^2 + bx + c = 0?
x = (-b ± √(b² - 4ac)) / 2a
True or False: The discriminant of a quadratic equation determines the number of real solutions.
True
What is the first step in solving the equation 4x + 7 = 3?
Subtract 7 from both sides.
What is the slope of the line that passes through the points (1, 2) and (3, 4)?
1
Fill in the blank: The sum of the interior angles of a triangle is ____ degrees.
180