a) Share $80 in the ratio 4:5 b) Share 30 pencils in the ratio 2:4 c) Divide $120 between Joy, Mary and Sue in the ratio 4:3:5

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Radical Ratios - Sharing
be
multiply by the quantity to be shared. Sounds complicated? It's not - try it!
Divide the following quantities in the ratio given:
a) Share $80 in the ratio 4:5
Answer:
Answer:
b) Share 30 pencils in the ratio 2:4
Answer:
Answer:
c) Divide $120 between Joy, Mary and Sue
Joy:
Mary:
in the ratio 4:3:5
Sue:
d) Divide 50 slices of cake between Grade 4 and 5
in the ratio of 3:7
Grade 4:
Grade 5:
e) A can of Fruity Tooty paint from Kelly's contains
a mixture of red, blue and yeliow in the ratio 2:4:6.
If a can of paint weighs 540g, how much red, blue
and yellow paint went into the mixture?
red:
blue:
yellow:
f) Divide $306 between Stan, Fran and Dan
in the ratio 3:7:8
Stan:
Fran:
Dan:
g) Dividé 148 Christmas gifts between The Hostel and
the Ranfurly Home in the ratio of 16:21. How many
gifts would each home get?
Hostel:
Ranfurly:
h) Divide 65 brownies between Ed, Fred and Ned
Ed:
in the ratio 2 :5:1
Fred:
Ned:
Shane and Marissa decide to share the cost of a stereo
system that costs $289 from Solomon's. If they split
Shane:
the cost in the ratio 8:9 how much would each
Marissa:
have to pay?
Transcribed Image Text:Radical Ratios - Sharing be multiply by the quantity to be shared. Sounds complicated? It's not - try it! Divide the following quantities in the ratio given: a) Share $80 in the ratio 4:5 Answer: Answer: b) Share 30 pencils in the ratio 2:4 Answer: Answer: c) Divide $120 between Joy, Mary and Sue Joy: Mary: in the ratio 4:3:5 Sue: d) Divide 50 slices of cake between Grade 4 and 5 in the ratio of 3:7 Grade 4: Grade 5: e) A can of Fruity Tooty paint from Kelly's contains a mixture of red, blue and yeliow in the ratio 2:4:6. If a can of paint weighs 540g, how much red, blue and yellow paint went into the mixture? red: blue: yellow: f) Divide $306 between Stan, Fran and Dan in the ratio 3:7:8 Stan: Fran: Dan: g) Dividé 148 Christmas gifts between The Hostel and the Ranfurly Home in the ratio of 16:21. How many gifts would each home get? Hostel: Ranfurly: h) Divide 65 brownies between Ed, Fred and Ned Ed: in the ratio 2 :5:1 Fred: Ned: Shane and Marissa decide to share the cost of a stereo system that costs $289 from Solomon's. If they split Shane: the cost in the ratio 8:9 how much would each Marissa: have to pay?
Multiplying Algebraic Terms
113
When multiplying algebraic terms that are allke, indices are added. Whole numbers are multiplied separately from the letters.
1. Simplify the following. Make sure write indices where necessary.
a) 2 x a² =
b) 4d x d =
c) 6q x a² =
d) exe? =
e) 3bx 4c =
f). 5w x 4w2:
g) 3 x 2a =
h) hx 4h =
i) 72 x 4z =
2. Simplify the following. Make sure write indices where necessary.
a) axa =
b) 3a x 5a =
c) 4p x p? =
d) y xy =
e) 2v x v =
f) 7a? x 2a =
g) 3ab x 2ab²% =
h) de? x 3de =
i) 5m'n x m =
3. Simplify' the following. Make sure write indices where necessary.
a) 4 x e? =
b) 5u x u =
c) 2h x hº
%3D
d) 3g x g? =
e) 6ax 7b =
f) 5s x 6s2
%3D
g) 5x 7a' =
h) 4 x 4g³ =
i) 4b x 4b
%3D
4. Simplify the following. Make sure write indices where necessary.
a) 5a' x 4a =
b) 2j x 7j° =
c) 3q° x q' =
%3D
4y x6y =
e) 4v x 8v =
f) 6a° x 2a° =
%3D
%3D
20'bx 7a'b =
h) 4de? x 3d'e?%3D
i) 6 m “n x 2m2%3D
%3D
Transcribed Image Text:Multiplying Algebraic Terms 113 When multiplying algebraic terms that are allke, indices are added. Whole numbers are multiplied separately from the letters. 1. Simplify the following. Make sure write indices where necessary. a) 2 x a² = b) 4d x d = c) 6q x a² = d) exe? = e) 3bx 4c = f). 5w x 4w2: g) 3 x 2a = h) hx 4h = i) 72 x 4z = 2. Simplify the following. Make sure write indices where necessary. a) axa = b) 3a x 5a = c) 4p x p? = d) y xy = e) 2v x v = f) 7a? x 2a = g) 3ab x 2ab²% = h) de? x 3de = i) 5m'n x m = 3. Simplify' the following. Make sure write indices where necessary. a) 4 x e? = b) 5u x u = c) 2h x hº %3D d) 3g x g? = e) 6ax 7b = f) 5s x 6s2 %3D g) 5x 7a' = h) 4 x 4g³ = i) 4b x 4b %3D 4. Simplify the following. Make sure write indices where necessary. a) 5a' x 4a = b) 2j x 7j° = c) 3q° x q' = %3D 4y x6y = e) 4v x 8v = f) 6a° x 2a° = %3D %3D 20'bx 7a'b = h) 4de? x 3d'e?%3D i) 6 m “n x 2m2%3D %3D
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