Up

Verbal expressions

Math is like its own language! You have to know what all the symbols mean and how to translate it, so that it makes sense. There are plenty of different operations that you must know how to put into words in order to explain your equation or expression.

Let’s start by listing some ways of translating math symbols.

+  When we see this symbol we think add, plus, increased, more than, higher, greater, etc. The answer to an addition problem is called the sum. Can you think of any other words associate with this symbol?

-  This symbol stands for subtract, minus, less than, decreased, lower, take away, etc. The answer to a subtraction problem is called the difference.

This can be translated to times, multiplied by, doubled, tripled, etc. The answer to a multiplication problem is called the product.

÷  This last main operation can be described with words such as divided by or split. The answer to a division problem is called the quotient.

=  This symbol stands for equals or you can just simply say “is”.

Let’s look at a few examples using these operations.

Example 1:

 

Write as a verbal expression.

\(q - 15 = 34\)

You can read this as “q minus 15 equals 34.”

Another answer that is still completely correct could be “15 less than q is 34” or possibly “q decreased by 15 equals 34.”

All of these answers are absolutely correct.

Example 2:

 

Write as an algebraic expression.

 “Four times the sum of five and x is twenty-seven.”

 Times means multiply. Whenever you see words like sum or difference, it means that the terms are grouped together. This expression would look like this:

\(4(5 + x) = 27\)


Those problems are a bit tougher.

Example 3:

 

Write as an algebraic expression.

 “Seven less than twice b equals 10.”

 

Seven less means we must subtract 7 and twice b stands for multiplication.

\(2b - 7 = 10\)


Another math symbol that you will have to know how to translate is used when you want to square a number.

How would you say this?

\({p^2} = 9\)


This would be “p squared equals nine.” We could also say, “p to the second power equals 9.  Let’s look at a few more.

 

               \({x^2}\)    “x squared” or “x to the second”

               \({x^3}\)    “x cubed“ or “x to the third”

               \({x^4}\)    “x to the fourth”

               \({5^x}\)     “five to the x” or “five to the power of x”

 

Example 4:

 

Write as a verbal expression.

\({8^c} = 44\)

This would be “8 to the power of c equals 44”

 

 Example 5:

 

Write as an algebraic expression.

“A number squared increased by nine is twenty-three.”

 Squared means use a power of 2 and increased stands for adding. It didn’t give us a variable so we can use any letter we want.

\({x^2} + 9 = 23\)





Downloads:
2265 x

Evaluate each expression.

This free worksheet contains 10 assignments each with 24 questions with answers.

Example of one question:

Beginning-Algebra-Verbal-expressions-easy

Watch below how to solve this example:

 

Downloads:
1520 x

Write each as a verbal expression.

This free worksheet contains 10 assignments each with 24 questions with answers.

Example of one question:

Beginning-Algebra-Verbal-expressions-medium

Watch below how to solve this example:

 

Downloads:
1912 x

Write each as an algebraic expression.

This free worksheet contains 10 assignments each with 24 questions with answers.

Example of one question:

Beginning-Algebra-Verbal-expressions-hard

Watch below how to solve this example:

 
 
 

Facebook PageGoogle PlusTwitterYouTube Channel

Algebra and Pre-Algebra

Beginning Algebra
Adding and subtracting integer numbers
Dividing integer numbers
Multiplying integer numbers
Sets of numbers
Order of operations
The Distributive Property
Verbal expressions
Beginning Trigonometry
Finding angles
Finding missing sides of triangles
Finding sine, cosine, tangent
Equations
Absolute value equations
Distance, rate, time word problems
Mixture word problems
Work word problems
One step equations
Multi step equations
Exponents
Graphing exponential functions
Operations and scientific notation
Properties of exponents
Writing scientific notation
Factoring
By grouping
Common factor only
Special cases
Linear Equations and Inequalities
Plotting points
Slope
Graphing absolute value equations
Percents
Percent of change
Markup, discount, and tax
Polynomials
Adding and subtracting
Dividing
Multiplying
Naming
Quadratic Functions
Completing the square by finding the constant
Graphing
Solving equations by completing the square
Solving equations by factoring
Solving equations by taking square roots
Solving equations with The Quadratic Formula
Understanding the discriminant
Inequalities
Absolute value inequalities
Graphing Single Variable Inequalities
Radical Expressions
Adding and subtracting
Dividing
Equations
Multiplying
Simplifying single radicals
The Distance Formula
The Midpoint Formula
Rational Expressions
Adding and subtracting
Equations
Multiplying and dividing
Simplifying and excluded values
Systems of Equations and Inequalities
Graphing systems of inequalities
Solving by elimination
Solving by graphing
Solving by substitution
Word problems