Students will make Connections to Algebra
Variable: A letter used to represent a range of numbers
Values: The numbers (constants)
Variable expression: Variables, constants, and your operations
Numerical expression: Constants and operations (just numbers)
Evaluate: Simplify: Distribute Combine Like Terms PEMDAS
Variable ExpressionsMeaningOperation 3x, 3 * x, (3)(x) times 14, 14 y y divided by 9 + a plus 12 – b minus In this algebra class, we use parentheses “(3)(2)” or number and variable “3x” to demonstrate multiplication so that there is no confusion with decimal points or anything else!
Evaluate the variable expression when x = 5 Solution ExpressionSubstituteSimplify 5x5x= 5( )= 40 x =40= 5
1. 10x2.20 x x4. X + 8
Find the distance d traveled in 30 minutes by a remote control car going an average speed of 10 miles per hour. Use the formula: distance equals rate r multiplied by time t. Solution d = rtWrite formula = ( )( )Substitute for r and t. = = Simplify Answer The distance traveled by the remote control car was miles
5. Using a variable expression, find the distance traveled in 20 minutes by a remote control car moving at an average speed of 9 miles per hour. d = rtWrite formula = ( )( )Substitute for r and t. = Simplify Answer The distance traveled by the remote control car was miles
The perimeter P of a triangle is equal to the sum of the lengths of its sides: Solution 1. Write the formulaP = a + b + c 2. Substitute 6 for a, = for b, and 13 for c. 3. Simplify the formula = Answer The triangle has a perimeter of meters. c = 13 m b = 11m a = 6m P = a + b + c Find the perimeter of the triangle in meters
6. Find the perimeter of a triangle with sides 7 centimeters, 12 centimeters, and 17 centimeters long. P = a + b + c = + + = The triangle has a perimeter of centimeters