Dizzy with Distributive
Come on and Combine Like Terms
Vivacious Vocabulary
Solutionitis
Hmm..Think about it
100
5(x - 12) =
5x - 60
100
8a + 15a + a + 9 =
24a + 9
100
The property used to multiply a factor across the terms inside parentheses. Shown below:
6(n+5)
What is the Distributive Property?
100
x - 3 = 7
x = 10
100
x=0 is a solution to the following equation:
4x-13+x=-13
What is true?
200
-7(m + 11) =
-7m - 77
200
21b - 11b - 10 =
10b - 10
200
Operations that are opposites of one another. We use them to help solve for a variable in an equation.
What are inverse operations?
200
-6d = 30
d = -5
200
a=12 is a solution to the following equation:
33=3(x-1)
What is true?
300
12(-t - 4) =
-12t - 48
300
-7d - 3 + 4d - 2 =
-3d - 5
300
A number that counts how many of a given variable you have. It is the number multiplied by a variable in a variable term.
What is a coefficient?
300
1/2r=-7
1/2r=-7
2*1/2r=-7*2
r=-14
300
c=-10 is a solution to the following equation:
-6c=20-2c
What is false?
400
-8(2x - 5) + 2x =
-14x + 40
400
-15k + 2k - 6j - 3k + 3j =
-16k - 3j
400
A number whose value does not change. It has no variable associated with it.
What is a constant?
400
-2/3v=24
-2/3v=24
-3/2*-2/3v=24*-3/2
v=-36
400
The error in the following calculation:
-1+e+12*7
-1+e+84
e-83
-1+e+84 should become e+83 , not e-83
500
2(3x - 4) + 2x - 7 =
8x - 15
500
Write an expression for the perimeter of the triangle shown:
3y+2+3y+3y+5
9y+7
500
A value for a variable that makes the equation true.
What is a solution?
500
2r-19-r+24=-3
2r-19-r+24=-3
r+5=-3
r+5-5=-3-5
r=-8
500
The rule that allows you to perform each step in the following solution.
Original problem:
8(1-g)+20*3
Step 1:
8(1-g)+60
Step 2:
8-g+60
Step 3:
-g+68
1. PEMDAS
2. Distributive Property
3. Combine like terms