7. Write the numerical factor and literal factor in each of the following terms
b
(1) 15x
(11) - 4xy
ab,
(v) a
D)
Answers
Answer:
Step-by-step explanation:
• Algebraic expression is formed from variables and constants using
different operations.
• Expressions are made up of terms.
• A term is the product of factors. Factors may be numerical as well as
algebraic (literal).
• Coefficient is the numerical factor in a term. Sometimes, any factor
in a term is called the coefficient of the remaining part of the term.
• The terms having the same algebraic factors are called like terms.
• The terms having different algebraic factors are called unlike terms.
• Expression with one term is called a 'Monomial’.
• Expression with two unlike terms is called a 'Binomial’.
• Expression with three unlike terms is called a 'Trinomial’.
• In general, an expression with one or more than one term (with nonnegative integral exponents of the variables) is called a ‘Polynomial’.
• The sum (or difference) of two like terms is a like term with coefficient
equal to the sum (or difference) of coefficients of the two like terms.
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• When we add (or subtract) two algebraic expressions, the like terms
are added (or subtracted) and the unlike terms are written as they
are.
• To find the value of an expression, we substitute the values of the
variables in the expression and then simplify.
• Rules and formulas in mathematics are written in a concise and
general form using algebraic expressions.
In Examples 1 to 3, there are four options, out of which one is correct.
Write the correct answer.
Example 1: The like terms in 3x (3 – 2y) and 2 (xy + x2) are
(a) 9x and 2x2 (b) – 6xy and 2xy
(c) 9x and 2xy (d) – 6xy and 2x2
Solution : The correct answer is (b).
Expressions are used to write word problems in math terms.
Expressions are like instructions that tell you what you have to do to a
number or variable.
In words
A number x is increased by 7
A number y is decreased by 7
A number a is multiplied by 7
A number k is divided by 7
Expression
x + 7
y – 7
a × 7
k ÷ 7
Sometimes you might have to describe a real-life situation using a
mathematical expression.
You need to imagine what would happen to a quantity, and write that
down using variables, and +, –, × and ÷ .
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Example 2: The coefficient of xy in 3x2 zy + 7xyz – 2z2x is
(a) 3z (b) – 2 (c) 7yz (d) 7z
Solution: Correct answer is (d).
Example 3: The factors of the term –xy2 are
(a) x × y × y (b) – 1 × y × y
(c) – 1 × x × y (d) – 1 × x × y × y
Solution: Correct answer is (d).
In Examples 4 to 7, fill in the blanks to make the statements true.
Example 4: An algebraic expression having one or more terms with
non-negative integral exponents of the variables is called
___________.
Solution: Polynomials
Example 5: Numerical factor in any term of a polynomial is called
___________ of the term.
Solution: Numerical coefficient or coefficient.
Example 6: The terms with different algebraic factors are called ______.
Solution: Unlike terms
Example 7: The terms with same algebraic factors are called _______.
Solution: Like terms
When you change a variable expression to a word expression you, can
say the same thing in several different ways.
+ : Instead of “2 added to x”, you could say “x increased by 2,” or
“2 more than x,” or “the sum of x and 2.”
– : “2 subtracted from x” means the same as “2 less than x,” or
“x decreased by 2.”
× : “x multiplied by 2” means the same as ”the product of x and 2,”
“x times 2,” or “twice x.”
÷ : you could say: either “x divided by 3” or “one third of x.”
Answer:
what is answer of shis questions