Deconstructing Word Problems

Deconstructing Word Problems

Algebraic Expressions

Writing Equations

Open Ended

What number did you get after doing each step in the Algebra Magic Trick?

Open Ended

What number did you get after doing each step in the Algebra Magic Trick?

Fill in the Blanks

What number did you get after doing each step in the Algebra Magic Trick? Use 2 for your Start Number

Algebra Trick 2

• Start with a Number: 2

• Expression: x

• Add 6: 2 + 6 = 8

• Expression: x + 6

• Double the Result: 2(8) = 16

• Expression: 2(x+6) = 2x + 12

• Subtract 20: 16 - 20 = -4

• Expression: 2x + 12 - 20 = 2x - 8

• Subtract your original number: -4 - 2 = -6

• Expression: 2x - 8 - x = x - 8

• Add 8: -6 + 8 = 2

• Expression: x - 8 + 8 = x

Multiple Choice

What operation do these terms mean?

quotient

out of

equal pieces

split

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

What operation do these terms mean?

difference

decreased by

less than

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

What operation do these terms mean?

combined

increased by

more than

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

What operation do these terms mean?

of

each

every

product

• Add

• Subtract

• Multiply

• Divide

Writing Algebraic Expressions

•  $9h$  
  

•  $\frac{1}{2}y-5$  

•  $\frac{1}{4}\left(m+2\right)-7k$  

•  $7\left(2+s\right)$  

•  $\frac{2}{5}\left(d+8\right)+3p$  

Words used to include an equals ( = ) sign

• is, are, was

• were

• will be

• yields

• sold for

• cost

• equals

Multiple Choice

Which words tell me to write an equations that will include an equal sign?

• She and Him

• is and equals

• who and which

• many and much

Open Ended

Write an algebraic expression: 6 is added to one-sixth of w

Use / for your fraction

Open Ended

Write an algebraic expression: 3 times w

Open Ended

Write an algebraic expression: Four-fifths of b is added to the product of 5 and m

Use / for your fraction

Open Ended

Write an algebraic expression: 8 minus x

Multiple Choice

Write an algebraic expression: Three-fourths of the sum of 8 and h minus the product of 2 and f

• $\frac{3}{4}+8h-2f$

• $\frac{3}{4}\left(8+h\right)-2f$

• $\frac{3}{4}+8h-\frac{f}{2}$

• $\frac{3}{4}\left(8+h-2\right)f$

Writing Equations

• Identify your Variable ( x, a, t, etc.)

• x + 12 = 30

• x - 2 = 12

Open Ended

Write an equation: One half of a number is 24

Use / for your fraction

Open Ended

Write an equation: The quotient of a number and 3 is 10

Use / for your fraction

Open Ended

Write an equation: If three times a number is increased by 4, the result is -8

Open Ended

How can mathematical relationships be represented as expressions and equations? Hint: What 3 things make up a math problem?