Algebra Basics
a mathematical phrase that can contain numbers, variables, and operators
What is an algebraic equation or expression?
manipulate the equation to get the variable on one side and all other terms on the opposite side.
What is how to isolate a variable?
Solve: ( 2x + 3 = 11)
What is x = 4?
A number is added to 5 to get 12.
What is 7?
Solve: ( 3(x + 2) = 15 )
What is x = 3?
a numerical or constant quantity placed before and multiplying a variable in an algebraic expression.
What is a coefficient?
What is the first step in isolating ( x ) in ( 3x - 5 = 10)?
What is add 5 to both sides of the equation?
Solve: 5y - 2 = 3
What is y = 1?
The sum of a number and 8 is 20. What is the number?
What is the number 12?
Solve: 4x + 12 = 28
What is x = 4?
A rule to determine the sequence in which calculations are performed, typically remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
What is the order of operations?
How do you deal with fractions when isolating a variable?
What is multiplying both sides of the equation by the denominator to eliminate the fraction?
Solve: 7 - 2x = 1
What is x = 3?
If twice a number is decreased by 3, the result is 5. What is the number?
What is the number 4?
Solve: ( 2(x - 1) + 3 = 9 )
What is x = 5?
A symbol, often represented by a letter, that stands for a number that can change or vary in value.
What is a variable?
Explain how to isolate ( x ) in ( 4 = 2x + 10 ).
What is subtract 10 from both sides to get -6 = 2x, then divide by 2 to find x = -3?
Solve: ( 9 = 3(2x - 1) )
What is x= 2?
A number multiplied by 4 gives 20. What is the number?
What is the number 5?
Solve: ( 6x + 3(2x + 1) = 15 )
What is x = 1?
A mathematical statement that asserts the equality of two expressions.
What is an equation?
What technique can you use to eliminate a term on one side?
What is adding or subtracting the same term from both sides of the equation to eliminate it?
Solve: ( 10 + 3x = 4x + 2 )
What is x = 8?
The product of a number and 3 is subtracted from 12 to give 6. What is the number?
What is the number 2?
Solve: 6(x + 2) - 3x = 15
What is x = 1?