ADD SUBTRACT AND MULTIPLY LINEAR EXPRESSIONS WORKSHEET
About "Add subtract and multiply linear expressions worksheet"
Add subtract and multiply linear expressions worksheet :
You can find some practice questions on add, subtract and multiply linear expressions.
Add subtract and multiply linear expressions - Questions
(1) Add 6a + 3 and 4a - 2
(2) Add 5y + 8 + 3z and 4y - 5
(3) Subtract 6a - 3b from - 8a + 9b
(4) Subtract a² + b² - 3ab from a² + b² - 3ab
(5) Multiply (3a - 2b) (2p + 3q)
(6) Multiply (3x - 7) (7x - 3)
Add subtract and multiply linear expressions worksheet - Solution
Question 1 :
Add 6a + 3 and 4a - 2.
Solution :
Adding linear expressions in horizontal method :
= (6a + 3) + (4a - 2)
= 6a + 4a + 3 - 2
= 10a + 1
Adding linear expressions in vertical method :
Question 2 :
Add 5y + 8 + 3z and 4y - 5
Solution :
Adding linear expressions in horizontal method :
= (5y + 8 + 3z) + (4y - 5)
= 5y + 4y + 8 - 5 + 3z
= 9y + 3z + 3
Adding linear expressions in vertical method :
Question 4 :
Subtract 6a - 3b from - 8a + 9b.
Solution :
Subtracting linear expressions in horizontal method:
= (- 8a + 9b) - (6a - 3b)
Distribute the negative sign inside the parentheses
= - 8a + 9b - 6a + 3b
= -8a - 6a + 9b + 3b
= -14a + 12b
Subtracting linear expressions in vertical method :
Question 4 :
Subtract a² + b² - 3ab from a² + b² - 3ab
Solution :
Subtracting linear expressions in horizontal method:
= (a² - b² - 3ab) - (a²+ b² - 3ab)
= a² - b² - 3ab - a² - b² + 3ab
= a² - a² - b² - b² - 3ab + 3ab
= - b² - b²
= - 2b²
Subtracting linear expressions in vertical method :
Question 5 :
Multiply (3a - 2b) (2p + 3q)
Solution :
By using distributive property we can multiply two polynomials.
= (3a - 2b) (2p + 3q)
= 3a(2p + 3q) - 2b(2p + 3q)
= 6ap + 9aq - 4pb - 6qb
Since there is not like terms, we cannot combine any more.
Hence the answer is 6ap + 9aq - 4pb - 6qb.
Question 6 :
Multiply (3x - 7) (7x - 3)
Solution :
By using distributive property we can multiply two polynomials.
= (3x - 7) (7x - 3)
= 3x(7x - 3) - 7(7x - 3)
= 21x² - 9x - 49x + 21
= 21x² - 58x + 21
Hence the answer is 21x² - 58x + 21.
After having gone through the stuff given above, we hope that the students would have understood "Add subtract and multiply linear expressions worksheet".
Apart from the stuff given above, if you want to know more about "Add subtract and multiply linear expressions worksheet", please click here
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
You can also visit the following web pages on different stuff in math.
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
Trigonometry 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
Recent Articles
-
Write Equations for Proportional Relationships From Tables
Jun 02, 20 09:33 AM
Write Equations for Proportional Relationships From Tables
-
Graphing Proportional Relationships Worksheet
Jun 02, 20 02:58 AM
Graphing Proportional Relationships Worksheet
-
Graphing Proportional Relationships
Jun 02, 20 02:55 AM
Graphing Proportional Relationships - Examples with step by step explanation
