Algebra Flashcards
(25 cards)
What is the value of x in the equation 2x + 3 = 11?
x = 4
True or False: The expression 5(x + 2) is equivalent to 5x + 10.
True
What is the formula for the area A of a rectangle with length l and width w?
A = l * w
Fill in the blank: The solution to the equation x^2 - 9 = 0 is x = ____.
3 and -3
What is the standard form of a linear equation?
Ax + By = C
What is the slope of the line described by the equation y = 2x + 5?
2
Which of the following is a quadratic equation? a) 3x + 2 = 0 b) x^2 + 5x + 6 = 0 c) 4x - 7 = 0
b) x^2 + 5x + 6 = 0
What is the value of y when x = 3 in the equation y = 4x - 1?
y = 11
True or False: The roots of the equation x^2 + 4x + 4 = 0 are real and equal.
True
What does ‘factor’ mean in algebra?
To express a polynomial as a product of its factors.
Fill in the blank: The quadratic formula is x = ___, where a, b, and c are coefficients in ax^2 + bx + c = 0.
-b ± √(b^2 - 4ac) / 2a
What is the first step in solving the equation 3(x - 2) = 12?
Distribute the 3.
Which property states that a + b = b + a?
Commutative Property of Addition
What is the result of simplifying the expression 4(3x + 2) - 2x?
10x + 8
True or False: A function can have multiple outputs for a single input.
False
What is the x-intercept of the line given by the equation y = 3x - 9?
x = 3
Fill in the blank: The term ‘monomial’ refers to an algebraic expression that contains ____ term(s).
one
What is the sum of the roots of the quadratic equation x^2 - 5x + 6 = 0?
5
Which of the following represents a linear function? a) y = x^2 b) y = 2x + 1 c) y = 3/x
b) y = 2x + 1
What is the result of (x + 3)(x - 3)?
x^2 - 9
True or False: The expression 6x^2 + 3x can be factored as 3x(2x + 1).
True
What is the term for the highest power of a variable in a polynomial?
Degree
What type of graph represents a quadratic function?
Parabola
Fill in the blank: The equation y - 2 = 3(x - 1) is in ____ form.
Point-slope
