Factoring out GCF
Please factor out the GCF.
5x + 50
GCF is 5
5(x + 10)
What is a variable?
A letter that represents an unknown number.
What is the difference between perimeter and area?
Perimeter is the measurement around the shape, area is the measure of the space inside the shape.
To find the perimeter, add all the side lengths together.
When finding area of a square or rectangle, multiply length by width.
Simplify
2(x + 3)
2x + 6
Multiplying or dividing two numbers with the same sign results in a _________ number.
positive.
Please factor out the GCF.
6x + 2
2(3x + 1)
What is a coefficient?
3x + 2 - 5x
3
Remember terms are separated by addition and subtraction signs.
Simplify.
1/2 (3x - 5 - 4)
1.5x -4.5
What is a proportion?
Two ratios (fractions) that are equal to each other.
Please factor out the GCF.
12x + 54
GCF is 6
6(2x + 9)
What is a constant?
A number without a variable, therefore it remains consistently the same.
One side of a square measures (2x -5) inches, please find perimeter of the square.
8x - 20 inches
Simplify.
.25(4x - 8 - 16y)
1x - 2 - 4y
What are cross products?
When you have a proportion, if you multiply across, the cross products are equal.
1/2 = 2/4
1 * 4 = 2 *2
Please factor out the GCF
15x - 10
GCF = 5
5(3x - 2)
What is distributive property?
Multiplying by a group.
The length of a rectangle is 3x - 5 - 2y inches and the width is 5x + 1 + 2y. What is the perimeter of the rectangle?
16x - 8 inches
Simplify
-2(3x - 5) -5(2x + 1)
-16x + 5
Find 15% of 60
9
Please factor out the GCF.
-19x - 38
Since it is the GREATEST common factor, the largest factor is positive 19.
19(-1x-2)
What is the difference between an expression and an equation?
You can simplify an expression, but you can solve an equation (find the value of the variable).
An expression does not have an equal sign, while an equation does.
What is the area of a rectangle with a height of x and a width of 3x -1?
3x2-x inches
Challenge!
x(2x + 1) + x(-2x -1)
0
Find 225% of 50
112.5