Algebra Questions And Answers

Front 1

What is a variable ?

Back 1

a letter or other symbol that can be replaced by any number in some set.

Front 2

What is an equation ?

Back 2

a statement that two algebraic expressions are equal.

Front 3

What is an expression ?

Back 3

is a phrase that represents a number.

Front 4

What do we need to do to an equation ?

Back 4

we need to find the number that makes the statement true.

Front 5

What do we need to do to an expression ?

Back 5

we need to simplify or evaluate.

Front 6

What is the difference between an expression and an equation ?

Back 6

An equation uses an equal sign and makes the statement that two algebraic expressions are equal, an expression on the other hand does not use the equal sign and it is a phrase that represents a number.

Front 7

What is an algebraic equality ?

Back 7

An algebraic expression that is related by one of the signs of not equal to, less than, less than or equal to, approximately equal to, greater than, and greater than or equal to.

Front 8

What is the value of a variable in an equation ?

Back 8

Solution to the algebraic equation.

Front 9

What does the fraction bar on a fraction represent ?

Back 9

Division.

Front 10

What is denominator of a fraction ?

Back 10

The divisor ( bottom ) number of a fraction.

Front 11

What is numerator of a fraction ?

Back 11

The dividend ( top ) number of a fraction.

Front 12

As what is a fraction can be classified ?

Back 12

Proper or Improper fraction.

Front 13

What is proper fraction ?

Back 13

A fraction with a numerator that is less than denominator.

Front 14

What is improper fraction ?

Back 14

A fraction with a numerator that is greater than denominator.

Front 15

What is the alternate form of writing of an improper fraction ?

Back 15

Writing it as the sum of a natural number and a proper fraction.

Front 16

What is a single number that is written as the sum of a natural number and a proper fraction called ?

Back 16

Mixed number.

Front 17

What are the numbers 3, and 6 called in a statement 3 times 6 = 18 ?

Back 17

The numbers 3, and 6 are called factors of 18.

Front 18

What is the number resulting from multiplying two numbers is called ?

Back 18

Product.

Front 19

How do we factor a number ?

Back 19

By writing the number as a product of two or more numbers.

Front 20

What is a prime number ?

Back 20

A number that have 1 and itself only as its factors.

Front 21

What is a composite number ?

Back 21

A number that have more than itself and one as its factor.

Front 22

Which number is either prime or composite by agreement ?

Back 22

The number one.

Front 23

When we factor a number all the factors should be in what form ?

Back 23

In prime form.

Front 24

What does the basic principle of fraction state ?

Back 24

If we multiply or divide the denominator and numerator of a fraction by the same non zero
number, the value of the fraction is not changed.

Front 25

What do we mean, when we say a fraction is in its lowest form ?

Back 25

The denominator and the numerator of a fraction don’t have common factor.

Front 26

What is greatest common factor ( GFC ) ?

Back 26

The product of all the factors common to all the numbers .

Front 27

What are the steps for writing a fraction in its lowest form ?

Back 27

Step 1, write the numerator and the denominator as a product of prime numbers.

Step 2, divide the numerator and the denominator by the greatest common factor.

Front 28

How do we multiply two or more fractions ?

Back 28

Multiply the denominator and the numerator.

Front 29

What are the steps of multiplying two or more mixed numbers ?

Back 29

Step 1, rewrite the mixed numbers as improper fractions.

Step 2, Multiply the numerators and the denominators.

Step 3, factor the numerators and the denominators.

Step 4, divide the numerators and the denominators by the greatest common factor.

Front 30

If the product of two fractions is 1, what are they said to be ?

Back 30

Reciprocals of each other.

Front 31

To divide a fraction by a number is the same as what ?

Back 31

Multiplying by the reciprocal of the divisor.

Front 32

What is the result to a division problem called ?

Back 32

Quotient.

Front 33

How do we add or subtract fractions with the same denominators ?

Back 33

We add or subtract the numerators and we keep the same denominator.

Front 34

How do we add or subtract fractions with different denominators ?

Back 34

Step 1, factor the denominators.

Step 2, multiply the denominators with the least common denominator.
( so they could have the same denominator ).

Step 3, add or subtract the numerators and keep one of the common denominator.

Front 35

How do we find the least common denominator of two or more fractions ?

Back 35

by multiplying each factors of the denominator. If the factors repeat we keep the factor that
repeats the most.

Front 36

How do we find the difference between two numbers ?

Back 36

By subtracting.