Video Transcript
Evaluate four 𝑦 multiplied by 46𝑥
minus 1,000, given that 𝑥 is equal to six and 𝑦 is equal to 17.
In this question, we are asked to
evaluate an algebraic expression involving variables 𝑥 and 𝑦 using given values
for both of the variables. To answer this question, we first
need to substitute 𝑥 is equal to six and 𝑦 is equal to 17 into the given
expression. Remember, when we have a number
written next to a variable, we are multiplying them together. This gives us four times 17
multiplied by 46 times six minus 1,000.
We can now recall that in the order
of operations, multiplication comes before subtraction, so we need to evaluate the
product of these four numbers. In fact, we know that
multiplication is commutative and associative, so we can multiply these numbers in
any order. There is no easy way to do
this. So we just use a calculator to find
that four times 17 times 46 times six is equal to 18,768. Finally, we subtract 1,000 from
this value to see that four 𝑦 times 46𝑥 minus 1,000 is equal to 17,768 when 𝑥 is
equal to six and 𝑦 is equal to 17.
