Solving Algebra Equations Flashcards
(27 cards)
What is the first step in solving an algebraic equation that involves multiplication?
To isolate the variable, divide both sides of the equation by the coefficient of the variable.
True or False: When you divide both sides of an equation by a negative number, you must reverse the inequality sign.
True
Fill in the blank: To solve the equation 3x = 12, you should _____ both sides by 3.
divide
What is the solution to the equation 5x = 25?
x = 5
If 2x = 10, what is x?
x = 5
What operation would you perform to solve the equation x/4 = 3?
Multiply both sides by 4.
True or False: You can multiply or divide both sides of an equation by zero.
False
What is the result of solving the equation 8 = 2x?
x = 4
Which property states that a number can be multiplied by a factor of 1 without changing its value?
Multiplicative Identity
If 6y = 36, what is the value of y?
y = 6
True or False: When multiplying both sides of an equation by a negative number, the solution set changes.
False
What is the first step in solving the equation 7x/2 = 14?
Multiply both sides by 2.
What is the solution to the equation x/3 = 9?
x = 27
Fill in the blank: The equation 4x = 20 can be solved by _____ both sides by 4.
dividing
What is the value of x in the equation 10 = 2x?
x = 5
True or False: You can add or subtract any number from both sides of an equation.
True
What is the solution to the equation 15 = 3x?
x = 5
If 4x = 16, what should you do first to solve for x?
Divide both sides by 4.
What is the solution to the equation x/5 = 2?
x = 10
Fill in the blank: The equation 9x = 27 can be solved by _____ both sides by 9.
dividing
What does it mean to isolate the variable in an equation?
To get the variable alone on one side of the equation.
In the equation 12 = 3x, what is the value of x?
x = 4
True or False: Multiplying both sides of an equation by the same non-zero number maintains the equality.
True
What is the solution to the equation 6x = 30?
x = 5
