Question

Which of the following are multi-step equations? Respond with yes or no.

a. 23 = 5
b. -t + 2(t+ 3) = −4(t+1)
d. (2.8 -0.3) (2.1 - 1.6)
f. 9b - 12 = 43/b. 2/1/2
c. 18 +2=t e. y (4+1)-11​

Answer 1

Among the provided options, b. '-t + 2(t + 3) = −4(t + 1)' and f. '9b - 12 = 43/b' are multi-step equations. They involve multiple algebraic operations to solve for the variable.

Step-by-step explanation:

The student asked whether certain expressions are multi-step equations. A multi-step equation typically requires more than one operation to solve, such as adding, subtracting, multiplying, or dividing. We will analyze each expression to determine whether it qualifies as a multi-step equation.

• a. 23 = 5: No. This is not an equation that can be solved for a variable; it is a simple false statement.
• b. -t + 2(t + 3) = −4(t + 1): Yes. This is a multi-step equation because it involves distributing the numbers inside the parentheses and then combining like terms and isolating the variable.
• d. (2.8 -0.3) (2.1 - 1.6): No. This is an expression that simplifies to a single number; it is not an equation.
• f. 9b - 12 = 43/b: Yes. This is a multi-step equation that will require several steps to solve, such as multiplying both sides by b to remove the fraction, then using further operations to isolate the variable b.Items not listed per instruction will be disregarded.

From the provided context within the realm of linear equations, we can see that multi-step equations may appear in various forms requiring a series of algebraic steps to solve.