Unit 9 review (6th grade)

Simplify expressions and equations with parenthesis. ,[object Object],[object Object],[object Object],[object Object],[object Object]

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Simplify expressions and equations with parenthesis. ,[object Object],[object Object],2(4x+5x)+x=38 38 = (2 * 4x) + (2 * 5x) + x 38 = 8x + 10x + x 38 = 19x 38 / 19 = 19x / 19 2 = x next

Try one on your own… ,[object Object],Check your answer

(3+4)y + 9 = ,[object Object],[object Object],Remember that the distributive property distributes the operation to everything that is inside the parenthesis! Click here for the next question!

Apply the Distributive Property ,[object Object],[object Object],[object Object],[object Object],[object Object]

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Apply the Distributive Property ,[object Object],[object Object],[object Object],Click here for the next question!

Combine Like Terms to Simplify Expressions and Equations ,[object Object],[object Object],[object Object],[object Object],[object Object]

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Combine Like Terms to Simplify Expressions and Equations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],2y + 4y – 9y = -3y 6 -3 -8 = -5 So, 2y + 6 + 4y -8 -9y + (-3) = -3y - 5 Try one

8b + 9 + 4b – 3b + (-2b) – (-5)= Check your answer

8b + 9 + 4b – 3b + (-2b) – (-5)= ,[object Object],[object Object],[object Object],[object Object],[object Object],Click here for more on combining like terms. Practice combining like terms by clicking here. Click here for the next question!

Solve Equations ,[object Object],[object Object],[object Object],[object Object],[object Object]

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Solve Equations ,[object Object],[object Object],[object Object],[object Object],8y+(-5) = 5y +13 -5y -5y 3y+(-5) = 13 -(-5) -(-5) 3y = 18 ÷3 ÷3 Y=6 Subtract 5y from both sides to combine like terms Subtract -5 from both sides Divide both sides by 3 to isolate the variable Try one

4r + 37 = 100 - 5r Check your answer

4r + 37 = 100 - 5r Click here to read about solving equations. Click here to practice solving equations. Click here for the next question! Read p. 234 in your student reference book. r = 7 Divide both sides by 9 9r + 37 = 100 - 37 -37 9r = 63 Subtract 37 from both sides 4r + 37 = 100 – 5r + 5r + 5r 9r + 37 = 100 Add 5r to both sides

Write and identify equivalent expressions and equivalent equations. ,[object Object],[object Object],[object Object],[object Object],[object Object]

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Finding Equivalent Expressions and Equations ,[object Object],[object Object],[object Object],[object Object],next

Steps to find equivalence next Plug in a value to check (2 = k) (12 – 3 + 5k)6 + 4k – 2(k + 5)=44 + 32k (12-3+10)6 + 8 -2(2+5) = 44 + 64 19*6 + 8 -2*7 = 44 + 64 114 + 8 -14 = 44 + 64 108 = 108 Combine like terms 72 – 18 – 10 = 44 30k + 4k – 2k = 32k Use the distributive property (12 – 3 + 5k)6 + 4k – 2(k + 5) 72 – 18 + 30k + 4k -2k - 10

Practice ,[object Object],Decide if the following are equivalent: 3(4 + 5s) – 12 + (-3s) = 12s yes 2(b + 3) + 4 – (-3b) = -b + 7 no 5(2c + 4) – 3c + (-2)(c+2) = 5c +16 yes Click here for the next question!

Write and solve equations that represent problem situations ,[object Object],[object Object],[object Object],[object Object],[object Object]

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Write and solve equations that represent problem situations ,[object Object],[object Object],[object Object],[object Object],next

Jenny bought 7 t-shirts, one for each of her seven brothers, for $9.95 each. The cashier charged her an additional $13.07 in sales tax. She left the store with a measly $7.28. How much money did Jenny start with? Try one Click here for the next question! M – 7($9.95) -$13.07= $7.28 Write a number sentence How much money did she start with = m Assign a variable 7 t-shirts, $9.95 ea Additional $13.07 Left with $7.28 Identify important information

Use Formulas to Solve Problems 15 in 8 in c a 2 + b 2 = c 2 ,[object Object],[object Object],[object Object],[object Object]

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To use formulas ,[object Object],[object Object],V = l x w x h Vol = 60 5 6 What is the height? 60 = 5 x 6 x h h = 2 next

Unit 9 review (6th grade)

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Unit 9 review (6th grade)