Question

1. determine whether the following are expressions or equations.

|10b+8|
|7x=56|
|four times the quotient of ten and seven|
|negative three decreased by six is negative nine|

Explanation:

Step1: Define expression/equation

An expression is a combination of numbers, variables, and operations with no equality sign. An equation is two expressions linked by an $=$ sign (or states equality).

Step2: Analyze $10b+8$

No equality sign, so it is an expression.

Step3: Analyze $7x=56$

Has an equality sign, so it is an equation.

Step4: Analyze verbal phrase 1

"Four times the quotient of ten and seven" translates to $4\times\frac{10}{7}$, no equality, so it is an expression.

Step5: Analyze verbal phrase 2

"Negative three decreased by six is negative nine" translates to $-3-6=-9$, states equality, so it is an equation.

Answer:

Content	Classification
$7x=56$	Equation
Four times the quotient of ten and seven	Expression
Negative three decreased by six is negative nine	Equation