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Solving Equations
Distributive Property
Word Problems
(Write the equation)
In Your Head
100
3w + 2w
What is 5w?
100
x + 3 = 12
What is x = 9?
100
3(m – 5)
What is 3m - 15?
100
There are two times as many students in Mr. Ernst's class than there are in Mr. Ziegler's class.
What is 2n?
100
(-n)⁷ where n = 1
What is -1?
200
13g + 4g
What is 17g?
200
2n - 3 = 7
What is n = 5?
200
5(n + 3y - 2w)
What is 5n + 15y - 10w?
200
Five more than two times a number is fifteen.
What is 2n + 5 = 15?
200
3r + 4 = 19
What is r = 5
300
24w - 16w
What is 8w?
300
On the board, solve: 5w - 6 = 24
What is 5w - 6 = 24 5w - 6 + 6 = 24 + 6 5w = 30 5w ÷ 5 = 30 ÷ 5 w = 6
300
2(x - 3) + 4 (n + 2)
What is 2x - 6 + 4n +8 2x + 4n + 2?
300
Four years from now, Motor-mouth Megan will be eighteen.
What is 4 + n = 18?
300
8y + 2y = 6y + 16
What is 4y + 16?
400
14g - 7n - 23g + 11n
What is -9g + 4n? or 4n - 9g?
400
On the board, simplify and solve: 4n + 12 - 2 = 2n + 20
What is 2n + 10 = 20 2n + 10 - 10 = 20 - 10 2n = 10 2n ÷ 2 = 10 ÷ 2 n = 5?
400
-6(-n - 4 + 2n)
What is 6n + 24 - 12n?
400
Moonjet is four years older than Peapod. The sum of their ages is twenty-eight.
What is 2n + 4 = 28?
400
-2(n - 4) = 4
What is n = 2?
500
5w + 4g
What is impossible? You can't add two different variables without knowing what their values are.
500
On the board, simplify and solve: 5n - 3 + 2n = 20 - 3n + 7
What is 5n - 3 + 2n = 20 - 3n + 7 7n - 3 = 27 - 3n 7n - 3 + 3 = 27 + 3 - 3n 7n + 3n = 30 -3n + 3n 10n = 30 10n ÷ 10 = 30 ÷ 10 n = 3?
500
n(n + 4 - 2n)
What is n² + 4n - 2n²?
500
There were twelve times more students than teachers at the Hunger Games movie. There were 455 people in the theatre.
What is 13n = 455?
500
n² ÷ 5 = 20
What is n = 10?