niall has of a cup of cranberry juice and
apple juice. he combines the juice in a cup,
of a cup of
how many cups of juice does he have in the cup?

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.

What is the perimeter of an isosceles triangle with each leg measuring 2x+3 and the base measuring 6x-2?

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.