Topic 3 Review Test

Front

What is a variable in algebra?

Back

A variable is a symbol, often represented by letters such as x or y, that stands for an unknown value.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change, represented by a number.

Front

How do you evaluate an expression with a variable?

Back

To evaluate an expression with a variable, substitute the value of the variable into the expression and perform the arithmetic operations.

Front

What does it mean to write an expression using exponents?

Back

Writing an expression using exponents means to express repeated multiplication of a number by itself in a compact form, using a base and an exponent.

Front

How do you translate a verbal phrase into an algebraic expression?

Back

To translate a verbal phrase into an algebraic expression, identify the mathematical operations described and use variables to represent unknown quantities.

Front

What is the process for solving a word problem involving costs?

Back

To solve a word problem involving costs, identify the variables, set up an equation based on the information given, and solve for the unknown.

Front

What is the formula for calculating total cost in a scenario with multiple items?

Back

The total cost can be calculated by multiplying the quantity of each item by its price and then summing these amounts.

Front

What does '8 less than 4 times a number c' translate to in algebraic terms?

Back

It translates to the expression 4c - 8.

Front

How do you simplify the expression 12.5a + 8.5c for specific values of a and c?

Back

Substitute the specific values of a and c into the expression and perform the arithmetic operations to simplify.