algebra 1 Flashcards
algebra 1 (25 cards)
What is the value of x in the equation 2x + 3 = 11?
x = 4
True or False: The distributive property states that a(b + c) = ab + ac.
True
What is the slope of the line represented by the equation y = 3x + 2?
3
Fill in the blank: The quadratic formula is used to solve equations of the form ax^2 + bx + c = ____.
0
What is the solution set of the equation x^2 - 9 = 0?
x = 3 or x = -3
Which of the following is a linear equation? A) x^2 + 2x + 1 = 0 B) 3x + 4y = 12 C) y = x^3
B) 3x + 4y = 12
What is the term for the highest power of a variable in a polynomial?
Degree
True or False: The sum of the angles in a triangle is always 180 degrees.
True
Solve for y: 5y - 10 = 0.
y = 2
What is the standard form of a linear equation?
Ax + By = C
Fill in the blank: The __________ of a function is the set of all possible output values.
Range
What does it mean if a system of equations is inconsistent?
There is no solution.
Identify the vertex of the parabola represented by y = (x - 2)^2 + 3.
(2, 3)
What is the value of the expression 4(2 + 3) - 5?
15
True or False: The product of two negative numbers is positive.
True
What is the result of factoring the expression x^2 - 16?
(x - 4)(x + 4)
What type of function is represented by the equation y = x^2?
Quadratic function
Fill in the blank: The __________ of a linear function is its rate of change.
Slope
What is the x-intercept of the line described by the equation 2x + 3y = 6?
3
Which of the following is a rational number? A) √2 B) 1/2 C) π
B) 1/2
What is the principal square root of 25?
5
What is the formula for the area of a rectangle?
Area = length × width
Solve for x: 3x - 7 = 2x + 5.
x = 12
True or False: A function can have multiple outputs for a single input.
False
