EVALUATE LINEAR EXPRESSIONS
About "Evaluate linear expressions"
Evaluate linear expressions :
Here we are going to learn, how to evaluate linear expressions. To evaluate a linear expression we have to replace each variable by the given value. Then we have to simplify this.
Linear expression means we have the highest power 1 for all the variables that we have in the question.
Let us see some examples problems based on the above topic.
Example 1 :
Evaluate the following using the given values.
y ÷ 2 + x, use x = 1 and y = 2
Solution :
Now we have to use order of operation to simplify this further.
According to "BODMAS", we have to perform division and then we can use addition.
= 4 + 1
= 5
Hence the value of the given expression is 5.
Example 2 :
Evaluate the following using the given values.
x + y + y; use x = 9, and y = 10
Solution :
= x + y + y
= 9 + 10 + 10
= 29
Hence the value of the given expression is 29.
Example 3 :
Evaluate the following using the given values.
z(x + y); use x = 6, y = 8, and z = 6
Solution :
= z(x + y)
= 6(6 + 8)
According to "BODMAS", we have to simplify the terms which is inside the bracket.
= 6(14)
Now we have to multiply 6 and 14.
= 84
Hence the value of the given expression is 84.
Example 4 :
Evaluate the following using the given values.
(y + x) ÷ 2 + x; use x = 1, and y = 1
Solution :
= (y + x) ÷ 2 + x
= (1 + 1) ÷ 2 + 1
Simplify the numbers which are inside the bracket first
= 2 ÷ 2 + 1
Now we have to divide
= 1 + 1
= 2
Hence the value of the given expression is 2.
Example 5 :
Evaluate the following using the given values.
z − (y ÷ 3 − 1); use y = 3, and z = 7
Solution :
= z − (y ÷ 3 − 1)
= 7 − (3 ÷ 3 − 1)
Simplify the numbers which are inside the bracket first
= 7 − (1 − 1)
= 7 − 0 ==> 7
Hence the value of the given expression is 7.
Example 6 :
Evaluate the following using the given values.
p − (9 − (m + q)); use m = 4, p = 5, and q = 3
Solution :
= p − (9 − (m + q))
= 5 − (9 - (4 + 3))
Perform simplification in the inner most bracket.
= 5 − (9 - 7)
= 5 − 2 ==> 3
Hence the value of the given expression is 3.
Example 7 :
Evaluate the following using the given values.
y − (4 − x − y ÷ 2); use x = 3, and y = 2
Solution :
= y − (4 − x − y ÷ 2)
= 2 − (4 − 3 − 2 ÷ 2)
= 2 − (4 − 3 − 1)
= 2 − (4 − 4)
= 2 − 0 ==> 2
Hence the value of the given expression is 2.
Example 8 :
Evaluate the following using the given values.
y ÷ 5 + 1 + x ÷ 6; use x = 6, and y = 5
Solution :
= y ÷ 5 + 1 + x ÷ 6
= 5 ÷ 5 + 1 + 6 ÷ 6
= 1 + 1 + 1 ==> 3
Hence the value of the given expression is 3.
Example 9 :
Evaluate the following using the given values.
p − (9 − (m + q)); use m = 4, p = 5, and q = 3
Solution :
= p − (9 − (m + q))
= 5 − (9 − (4 + 3))
= 5 − (9 − 7)
= 5 − 2 ==> 3
Hence the value of the given expression is 3.
Example 10 :
Evaluate the following using the given values.
6q + m − m; use m = 8, and q = 3
Solution :
= 6q + m − m
= 6(3) + 8 - 8
= 18 + 0 ==> 18
Hence the value of the given expression is 18.
After having gone through the stuff given above, we hope that the students would have understood "Evaluate linear expressions".
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WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
