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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

Edgar had three times as many pairs of sunglasses as his friend Ted. Since Edgar didn't wear all of them regularly, he gave four pairs to Ted. Now they have the same number of pairs.

Which equation can you use to find t, the number of pairs Ted had initially?

3t=t+4     or     3t–4=t+4

How many pairs of sunglasses did Ted have initially?



What is 

3t–4=t+4

t=4 pairs

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

The sum of 3 consecutive integers is 42. What are the integers?

What is 13, 14, 15

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 + 1 = 15 - d
What is d= 2?
300

A movie club charges a one-time membership fee of $32. This allows members to purchase movies for $8 each. Another club does not charge a membership fee and sells movies for $12 each. How many movies must a member purchase for the total cost of the two clubs to be equal?

What is 32+8x=12x; x=8

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

In baseball, a player's batting average is calculated by using the formula `Average=Hits/at bats. Find the number of times a player has batted if he has 24 hits and a batting average of approximately 0.320?

75 at bats

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- 3k
What is k = 3?
500

Solve the Equation for y. Then find the value of y for each value of x.

8x-4y=-12

x=-3, y=

x=-1, y=

x=1, y=

What is 

y=2x+3

when 

x=-3, y=-3

x=-1, y=1

x=1, y=5