Questions: Write an algebraic expression that represents five times the quantity x increased by seven, minus four cubed. (Lesson 1-2)

Solution Steps

To write an algebraic expression for the given problem, we need to follow these steps:

1. Identify the quantity that needs to be increased by seven, which is \( x \).
2. Multiply this quantity by five.
3. Subtract four cubed from the result.

We start with the variable \( x \). According to the problem, we need to increase \( x \) by 7. This can be written as: \[ x + 7 \]

Next, we need to multiply the quantity \( x + 7 \) by 5. This gives us: \[ 5(x + 7) \]

Finally, we subtract \( 4^3 \) from the result obtained in Step 2. Since \( 4^3 = 64 \), the expression becomes: \[ 5(x + 7) - 64 \]

Final Answer