Writing Expressions
Distributive Property
Combining Like terms
Errors and Factoring
Simplifying Expressions
100
The product of any number and 37
What is n * 37 or 37n? (could use any variable not just "n" but must be multiplication)
100
2(n + e)
What is 2n + 2e?
100
3x + 5x
What is 8x?
100
Factor the following expression: 3x + 21
What is 3(x + 7)? Breaks down into 3*x + 3*7 in the middle step.
100
Find the like terms in the following expression: 3h + 11m - 5h + 7 - 10m + 3h
What are a) 3h, -5h, and 3h and b) 11m and -10m... (7 is a term on it's own... no like terms with it)
200
John is 5 years older than his brother Ted. Define a varaible and write an expression to show John's age.
What is 5 + T? (T stands for Ted's age... could use another variable but must be addition b/c John is older)
200
4(7 + x)
What is 28 + 4x? (do 4 * 7 and 4 * x)
200
3x + 8y + 5x
What is 8x + 8y? (can only combine if have same variable)
200
Find the error and fix it. 3x - 7x = 10x
What is they did not use the correct operation. 3x - 7x = -4x
200
Simplify by doing distributive property first then CLT. 3(x + 7) + 2
What is 3x + 21 + 2 = 3x + 23? (only distribute to parentheses . . . 3(x+7) is only distributive property part... + 2 done at the end with CLT)
300
John is 5 years older than his brother Ted. Define a variable and write an expression to show Ted's age.
What is J - 5? (J is John's age... could use another variable but must be subtraction because Ted is younger)
300
-5(3y - 2)
What is -15y - -10 or -15y + 10?
300
-5x + 12y - 10x + 2
What is -15x + 12y + 2? (like terms are -5x and -10x... take the operation/sign before each term)
300
Find the error and fix it. -4(2h + 9) = 8h + 36
What is they ignored the negative on the 4. Should be -8h + -36 or -8h - 36.
300
-4(5 + b) - 4b
What is -20 + -4b - 4b = -20 + -8b? (like terms of -4b and -4b)
400
4 more than half a number
What is 4 + (n/2) or n/2 + 4? (half a number is the same as dividing by 2)
400
-9p(-2 + p)
What is 18p + -9p^2 OR 18p - 9p^2? (SIGNS MATTER!!! also ^2 means "squared")
400
5xy + 3x + 8xy + 5y
What is 13xy + 3x + 5y? (can only combine with same variables... exactly same variables)
400
Factor the following expression using -5 as your common factor: -5w - 40
What is -5(w - -8) or -5(w + 8)?
400
6(-3b + 7) + 2(8 - b)
What is -18b + 42 + 16 - 2b = -20b + 58?
500
Write an expression for the perimeter of a rectangle with length 3x + 7 and width 2x - 2. (remember perimeter = sum of all sides)
What is 3x + 7 + 3x + 7 + 2x - 2 + 2x - 2 OR 2(3x+ 7) + 2(2x - 2) OR 6x + 14 + 4x - 4 OR 10x + 10?
500
-1(-5 - w + x)
What is 5 - -w + -x OR 5 + w - x? (SIGNS!!!!!)
500
24x - 40x + 15y - 8y + 9 - 17x + 2
What is -33x + 7y + 11? (like terms are a) 24x, -40x, -17x . . . b) +15y, - 8y . . . c) + 9, + 2)
500
Find the error and fix it: 2(x + 7) + 2(x + 7) = 2x + 7 + 2x + 14 = 4x + 21
What is they did not distribute the 2 with the 7 in the first set of parentheses. Should be 2x + 14 + 2x + 14 = 4x + 28.
500
-2(m + 3b) - 3(2m - b)
What is -2m - 6b - 6m + 3b = -8m - 3b? (SIGNS!!!!! when distributing in 2nd part, distribute a -3 not a +3)
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