Decide whether the two expressions are equivalent and explain your reasoning. a.
3(x + 4) and 3x +12
Equivalent: Yes
No
Justification:
b.
10-2x and -2x +10
Equivalent: Yes
No Justification:
C.
-6(x + 5) and - 6x + 5
Equivalent: Yes
No
Justification:
d.
4x and 2x +2
Equivalent: Yes
No
Justification:

The graph of y = ax^2 + bx + c is a parabola that opens up and has a vertex at (0, 5). what is the solution set of the related equation 0 = ax%2 + bx + c?

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

Two corresponding sides of two similar triangles are 3cm and 5cm. the area of the first triangle is 12cm^2. what is the area of the second triangle?