Math Snap

STEP 1

Assumptions1. We are asked to write an algebraic expression.
. The expression is "five times the quantity $x$ increased by seven, minus four cubed."
3. In this context, "increased by" means addition.
4. "Four cubed" means four to the power of three.

STEP 2

First, let's write an expression for "the quantity $x$ increased by seven". This can be represented as $x +7$.

STEP 3

Now, we need to represent "five times the quantity $x$ increased by seven". We can do this by multiplying the expression from step2 by5. This gives us $5(x +7)$.

STEP 4

Finally, we need to subtract "four cubed" from the expression in step3. "Four cubed" is $4^3$ or64. So, the final expression is $(x +7) -4^3$.

STEP 5

implify the expression to get the final algebraic expression.
$$5(x +7) -4^3 =5x +35 -64$$

Further simplify the expression to get the final algebraic expression.
$$5x +35 -64 =5x -29$$The algebraic expression that represents "five times the quantity $x$ increased by seven, minus four cubed" is $5x -29$.