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])
.