First consider the expression for:
The sum of A and the product of B and x.
Now select the answer that matches the following:
D plus the quantity of C times that expression
expr(["+",["*", C,["+",["*", B, "x"], A]], D])
expr(["+",["*", -C,["+",["*", B, "x"], A]], D])expr(["+",["*", -C,["+",["*", A, "x"], B]], D])expr(["+",["*", D,["+",["*", B, "x"], -A]], C])expr(["+",["*", D,["+",["*", A, "x"], -B]], C])What is the product of B and x?
What is the sum of A and expr(["*", B, "x"])?
What is the quantity of C times that expression?
What is D plus \color{orange}{expr(["*", C,["+",["*", B, "x"], A]])}?
the sum of A and the quantity of B times x
D plus the product of C and that expression
What is the quantity of B times x?
What is the sum of A and expr(["*", B, "x"])?
What is the product of C times that expression?
What is D plus \color{orange}{expr(["*", C,["+",["*", B, "x"], A]])}?
A plus the product of B and x
Take the quantity of C times that expression and then add D.
What is the product of B and x?
What is A plus expr(["*", B, "x"])?
What is the quantity of C times that expression?
What does adding D to \color{orange}{expr(["*", C,["+",["*", B, "x"], A]])} do?
A plus the quantity of B times x
Take the product of C and that expression and then add D.
What is the quantity of B times x?
What is A plus expr(["*", B, "x"])?
What is the product of C times that expression?
What does adding D to \color{orange}{expr(["*", C,["+",["*", B, "x"], A]])} do?
Take the product of B and x and add A.
The sum of D and the product of C and that expression.
What is the product of B and x?
What does adding A to expr(["*", B, "x"]) do?
What is the quantity of C times that expression?
What is the sum of D and \color{orange}{expr(["*", C,["+",["*", B, "x"], A]])}?
Take the quantity of B times x and add A.
the sum of D and the product of C and that expression
What is the quantity of B times x?
What does adding A to expr(["*", B, "x"]) do?
What is the product of C times that expression?
What is the sum of D and \color{orange}{expr(["*", C,["+",["*", B, "x"], A]])}?
Let's break this problem into smaller and easier pieces.
B \times x = \color{orange}{expr(["*", B, "x"])}
Bx{} + A
C \times (Bx + A) = \color{orange}{expr(["*", C,["+",["*", B, "x"], A]])}
expr(["*", C,["+",["*", B, "x"], A]]){} + D
So the entire expression we're considering can be written as expr(["+",["*", C,["+",["*", B, "x"], A]], D]).