Variable
Which of the following are variables? 5, x, 3.5, =, m, 2/9, h, +
x, m, h
Is 1/2 equivalent to 0.5?
Yes
What is the opposite of -6?
What are the constants in the following inequality? 34 - 2x > 12
34, 12
What does an equation need to have? Give an example of an equation.
An equal sign.
Name three variables.
Any three letters.
Give another value equivalent to 9/12.
3/4, 0.75, 18/24...
Name a pair of opposites.
Answers vary.
What are the coefficients in the following equation? 4m + 3m = 35
4, 3
Solve the equation. 5 + 6x = 35
x = 5
What is the variable in the following inequality? 3t - 5 < 2t
t
How do you keep both sides of an equation equivalent when solving?
Use balanced sets and do the same thing to both sides of the equation.
When do you use opposites and zero pairs to solve equations?
To create a balanced set in order to isolate the variable.
When a variable follows a coefficient (for example, 5x), what operation is used? (Addition, subtraction, multiplication or division)
Multiplication.
What is a balanced set?
Adding the same value to both sides of an equation or inequality.
What is the value of the variable in the following equation? (Solve.) 5c - 4 = 11
c = 3
Is 3x + 2 equivalent to 5x - 2x - 2?
No.
What is the opposite operation of multiplication? (Addition, subtraction, multiplication, division)
Division.
Product is the answer from a (division or multiplication) problem. Quotient is the answer from a (division or multiplication) problem.
Multiplication, division.
How do you keep expressions equal when solving an equation?
Use balanced sets.
What is a variable?
A letter that represents an unknown number
What does equivalent mean?
Equal in value.
A number and its opposite are a zero pair.
Define constant and coefficient.
A constant is a fixed number that does not appear with a variable. A coefficient is a number multiplied by a variable.
What is the difference between equations and inequalities?
Equations have an equal sign. Inequalities are not equal and use inequality signs (less than, greater than, less than or equal to, greater than or equal to).