Equations
What is the inverse operation of addition?
Subtraction!
How do you know if you have like terms?
Terms have the same variable and exponents.
Evaluate.
52
25
x is my ______ variable.
y is my ______ variable.
x is my independent variable.
y is my dependent variable.
Can I cut a 40-inch ribbon into 5-inch sections?
Yes!
Solve.
5 + x = 9
x = 4
Simplify.
3x + 9x
12x
Evaluate.
23
8
Graph the following coordinates.
(4, 3), (2, 1), and (0, 5)
See the board.
Create a number line and plot 1/2, 1.25, and 3.75 on the number line.
See board.
What is the inverse operation of division?
Multiplication!
What is the distributive property?
When you have an expression in a set of parentheses and a number on the outside. You multiply the outside to everything on the inside of the parentheses.
Expand.
x5
x • x • x • x • x
The number of batches of cookies depends on the number of cups of sugar you have.
x = # of cups of sugar
y = # of batches of cookies
Using the equation y = 1.5x, create a table.
See board.
Which one is greater?
1.41 or 1.397
1.41
Solve.
56 = 7x
x = 8
Simplify.
(4 + 8x)3
12 + 24x
Expand.
6y3
6 • y • y • y
The equation that is used for someone's time in hours, t, and the distance in miles, d, are related by the equation 1/4d = t. A graph of the equation includes the point (20, 5). Identify the independent and dependent variables.
independent = distance in miles
dependent = time in hours
Are these equal?
1/2 and 0.5
Yes!
Solve.
2/3 x = 12
x = 18
Simplify.
9 + 3(x + 1)
3x + 12
Expand.
(8z)2
8z • 8z
The equation that is used for someone's time in hours, t, and the distance in miles, d, are related by the equation 1/4d = t. A graph of the equation includes the point (20, 5). Describe what the coordinate represents.
(20, 5) means 20 miles in 5 hours.
Are these equal?
1.5 and 1.05
No!