randRangeNonZero( -9, 9 ) randRangeNonZero( -9, 9 ) randRangeNonZero( -9, 9 ) randRangeNonZero( -9, 9 )

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]).