Question

which of the following is an example of an algebraic expression? *
4x + 3 = 15
7x - 2y + 1
evaluate the following algebraic expression: *
8 + 3(x + 2)^2 for x = 4
hint: the ^2 means squared or raised to the second power!
64
44
32
116

Explanation:

Step1: Identify algebraic expression

An algebraic expression is a combination of variables, constants, and arithmetic operations. $4x + 3=15$ is an equation (has an equal - sign), while $7x - 2y+1$ is an expression.

Step2: Evaluate the second expression

Substitute $x = 4$ into $8 + 3(x + 2)^2$. First, calculate the value inside the parentheses: $x+2=4 + 2=6$.

Step3: Square the result

$(x + 2)^2=6^2 = 36$.

Step4: Multiply by 3

$3(x + 2)^2=3\times36 = 108$.

Step5: Add 8

$8+3(x + 2)^2=8 + 108=116$.

Answer:

First question: $7x - 2y + 1$
Second question: $116$