Algebraic Equasions Flashcards
What is an algebraic equation?
An algebraic equation is a mathematical statement that shows the equality of two expressions using variables.
True or False: The equation 2x + 5 = 15 is an example of an algebraic equation.
True
Solve for x: 3x + 4 = 10.
x = 2
What does it mean to ‘solve’ an algebraic equation?
To find the value(s) of the variable(s) that make the equation true.
Fill in the blank: In the equation 5x - 3 = 12, the coefficient of x is ____.
5
What is the first step to solve the equation x/4 + 3 = 7?
Subtract 3 from both sides.
True or False: The equation 7y = 14 has a solution.
True
What is the solution to the equation 4(x - 1) = 12?
x = 4
What does the term ‘like terms’ refer to?
Terms that have the same variable raised to the same power.
Solve for x: 2(x + 3) = 14.
x = 4
Fill in the blank: In the equation x^2 - 9 = 0, the values of x are ____.
3 and -3
What is the solution to the equation 5x + 2 = 17?
x = 3
True or False: The equation 10 - 2x = 0 has one solution.
True
What is the process of combining like terms called?
Simplifying
Solve for x: 6x - 2 = 4x + 10.
x = 6
What type of equation is 2x^2 + 3x - 5 = 0?
Quadratic equation
Fill in the blank: The equation ax + b = 0 is in ____ form.
linear
What is the solution of the equation x/3 = 5?
x = 15
True or False: The equation 0.5x + 1 = 3 is solved by x = 4.
True
What is the first step to isolate x in the equation 3x - 5 = 10?
Add 5 to both sides.
Solve for x: 8 - 3x = 2.
x = 2
What does the term ‘variable’ refer to in algebra?
A symbol used to represent an unknown value.
Fill in the blank: In the equation 2x + 4 = 10, the constant term is ____.
4
What is the solution to the equation 4x + 1 = 17?
x = 4
True or False: The equation x^2 + 1 = 0 has real solutions.
False
