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Solving Solving Multi-step Multi-step EquationsEquations

VocabularyVocabularySimplifying Simplifying AlgebraicAlgebraic

ExpressionsExpressions

SolvingSolving One and Two One and Two Step EquationsStep Equations

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SolvingSolvingStory ProblemsStory Problems

Simplifying Algebraic Simplifying Algebraic Expressions $100 Expressions $100

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Simplify the following expression.

)8(5 w

Simplifying Algebraic Simplifying Algebraic Expressions $100 Expressions $100

405

)8(5

w

w

Simplifying Algebraic Simplifying Algebraic ExpressionsExpressions $200$200

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Simplify the following expression.

baba 2238

Simplifying Algebraic Simplifying Algebraic ExpressionsExpressions $200 answer$200 answer

ba

baba

6

2238

Simplifying Algebraic Simplifying Algebraic ExpressionsExpressions $300$300

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Simplify the following expression.

)3(25 baa

Simplifying Algebraic Simplifying Algebraic ExpressionsExpressions $300 answer$300 answer

ba

baa

baa

63

625

)3(25

Simplifying Algebraic Simplifying Algebraic ExpressionsExpressions $400$400

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Simplify the following expression.

xx 82)36(6

Simplifying Algebraic Simplifying Algebraic ExpressionsExpressions $400 answer$400 answer

1644

821836

82)36(6

x

xx

xx

Simplifying Algebraic Simplifying Algebraic ExpressionsExpressions $500$500

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Simplify the following expression.

)2(5)4(3 yxyx

Simplifying Algebraic Simplifying Algebraic ExpressionsExpressions $500 answer$500 answer

yx

yxyx

yxyx

177

510123

)2(5)4(3

Solving One and Two Step Solving One and Two Step Equations $100Equations $100

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Solve the equation.

1423 y

Solving One and Two Solving One and Two Step EquationsStep Equations $100 $100 answeranswer

9

1423

y

y

Solving One and Two Solving One and Two Step EquationsStep Equations $200$200

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242

y

Solve the equation.

Solving One and Two Solving One and Two Step EquationsStep Equations $200 $200 answeranswer

y

y

842

42

Solving One and Two Solving One and Two Step EquationsStep Equations $300$300

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5437 d

Solve the equation.

Solving One and Two Solving One and Two Step EquationsStep Equations $300 $300 answeranswer

d

d

d

8

432

5437

Solving One and Two Solving One and Two Step EquationsStep Equations $400$400

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258 t

Solve the equation.

Solving One and Two Solving One and Two Step EquationsStep Equations $400 $400 answeranswer

33

33

258

t

t

t

Solving One and Two Solving One and Two Step EquationsStep Equations $500$500

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748

w

Solve the equation.

Solving One and Two Solving One and Two Step EquationsStep Equations $500 $500 answeranswer

24

38

748

w

w

w

Solving Multi-step Solving Multi-step Equations $100Equations $100

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Solve the equation.

aa 284

Solving Multi-step Solving Multi-step EquationsEquations $100 $100 answeranswer

a

a

a

aa

4

312

834

284

Solving Multi-step Solving Multi-step EquationsEquations $200$200

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xx 9756

Solve the equation.

Solving Multi-step Solving Multi-step EquationsEquations $200 answer$200 answer

4

123

753

9756

x

x

x

xx

Solving Multi-step Solving Multi-step EquationsEquations $300$300

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)24(5975 gg

Solve the equation.

Solving Multi-step Solving Multi-step EquationsEquations $300 answer$300 answer

5

9519

201975

1020975

)24(5975

g

g

g

gg

gg

Solving Multi-step Solving Multi-step EquationsEquations $400$400

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24)8(3 x

Solve the equation.

Solving Multi-step Solving Multi-step EquationsEquations $400 answer$400 answer

0

03

24243

24)8(3

x

x

x

x

Solving Multi-step Solving Multi-step EquationsEquations $500$500

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225)1(3 aa

Solve the equation.

Solving Multi-step Solving Multi-step EquationsEquations $500 answer$500 answer

4

22

2223

22533

225)1(3

a

a

aa

aa

aa

Solving Story Problems Solving Story Problems $100$100

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Carlos bought 5 boxes of CD’s for his computer. He also bought a paper punch.

The paper punch cost $12. If the total cost was $27, how much did each box of

CD’s cost?

Solving Story ProblemsSolving Story Problems $100 answer$100 answer

Let x = number of boxes of CD’s

3

155

27125

x

x

x

The cost of each box was $3.

Solving Story ProblemsSolving Story Problems $200$200

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The length of a rectangle is 9 cm more than twice the width. Find the length if

the perimeter is 60 cm.

Solving Story ProblemsSolving Story Problems $200 answer$200 answer

Let w = width2w+9 = length

7

426

60186

609292

w

w

w

wwww

The length is 23 cm.

Solving Story ProblemsSolving Story Problems $300$300

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Tara is twice as old as Gwen. Their sister, Amy, is 5 years older than Gwen. If the sum of their ages is 29, find each of their ages.

Solving Story ProblemsSolving Story Problems $300 answer$300 answer

Let x = Gwen2x = Tara

x+5 = Amy

6

244

2954

2952

x

x

x

xxx

Gwen is 6 years old, Tara is 12 years old and Amy is 11 years old.

Solving Story ProblemsSolving Story Problems $400$400

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Last summer, Gary trained 32 more dogs than Zina. Together they trained 126 dogs. How many dogs did Gary train?

Solving Story ProblemsSolving Story Problems $400$400

Let x = number of dogs Zina trainedx + 32 = number of dogs Gary trained

47

942

126322

12632

x

x

x

xx

Gary trained 79 dogs.

Solving Story ProblemsSolving Story Problems $500$500

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Four more than three times a number is one less than four times the number.

What is the number?

Solving Story ProblemsSolving Story Problems $500 answer$500 answer

Let x = the number

x

x

xx

5

14

1443

The number is 5.

Vocabulary $100Vocabulary $100

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The numerical part of a term that contains a variable.

VocabularyVocabulary $100 answer$100 answer

Coefficient

VocabularyVocabulary $200$200

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A expression that contains sums and products of variables and numbers.

VocabularyVocabulary $200 answer$200 answer

Algebraic Expression

VocabularyVocabulary $300$300

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A term (number) without a variable.

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Constant

VocabularyVocabulary $400$400

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bad 3224

What is the constant of this expression?

VocabularyVocabulary $400 answer$400 answer

bad 3224

What is the constant of this expression?

Answer: -2

VocabularyVocabulary $500$500

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bad 3254

What is the coefficient of the second term in this expression?

VocabularyVocabulary $500 answer$500 answer

bad 3254

What is the coefficient of the second term in this expression?

Answer: -5