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Combining Like Terms/Distributive Property
Variables on Two Sides
Word Problems
100
x + 8 = -2
What is x = -10?
100
2x + 5 = 23
What is x = 9?
100
3b - 5 - 2b = 5
What is b= 10?
100
5t - 4= t - 8
What is t=-1?
100
Your sister bought pencils at $0.39 each and a notebook at $1.19. The total cost was $3.92. How many pencils did she buy?
What is 0.39p + 1.19 = 3.92? and p = 7 pencils
200
y - 5 = -14
What is y= -11?
200
m/-2 + 7 = 21
What is m= -28?
200
3 (x -4) = 15
What is x=9?
200
7 + 3h = -1 -5h
What is h= -1?
200

A football team was at the 25 yard line.  If they gain 3 yards on each play, how many plays until they are at the 46 yard line? Write an equation.

What is 25 + 3p = 46

300
-12 x = 132
What is x= -11?
300
49 = 5y - 26
What is y = 15?
300
5n + 4 - 8n = -5
What is n = 3?
300

6d + 15 = 3(5+2d)

What is Infinitely Many Solutions?

300

The equation was made for the total number of students each period.  How many students were there in the beginning, and how many students arrive each period?   76 + 13p = 219

What is 76 students in the beginning, and 13 more students each period.

400
p/4 = -8
What is p = -32?
400
-2w + 1 = -9
What is w= 5?
400
3(s-10) = 36
What is s= 22?
400
5(t+2) = 25 + 2t
What is t=5?
400

Your brother has $204, but spends $7 each day for lunch.  Define the variable.

d = # of days

500
-5 + w = -2
What is w = 3?
500
-5 + 10b = -75
What is b=-7?
500
4(y-2) + y= -13
What is y= -1?
500

5(k-4) = 4+5k

What is No Solution

500

The Empire State Building is 1250 feet tall. This is 140 feet more than twice the height of the Washington Monument. Write an equation.  

2w + 140 = 1250