Rational Coefficient
Two-Step
Variables on both sides
Multi-Step
Writing Multi-Step
100
6 = 1/12v
72
100
2j + 9 = 21
6
100
11d = 24 +8d
8
100
-12(u + 4) = 60
-9
100
It costs $13 for admission to Cedar Point, plus $1.50 for each ride. If you have a total of $35.50 to spend, what is the greatest number of rides you can go on? Write and Solve an equation
13 + 1.50r = 35.50 ; r=15 rides
200
-2/3c = 60
-90
200
11 = 2h +17
-3
200
5s + 2 = 4s - 1
-3
200
8(3a + 6) = 9(2a - 4)
-14
200
Antonio went to the batting cages for practice. He rented a helmet for $4 and paid $0.75 for each group of 20 pitches. If he spent a total of $7 at the batting cages, how many groups of pitches did he pay for? Write and Solve an equation
4 + 0.75g = 7 ; g= 4 groups
300
0.75x = -9
-12
300
-17 = 6g - 5
-2
300
2.5a - 15 = 4a
-10
300
10y - 2(3y - 6) = 4(3y - 6) - 8y
No Solution or Null Set
300
A company employs 72 workers. It plans to increase the number of employees by 6 per month until it has twice its current work force. Write and Solve an equation to find how many months it will take to double its current number of workers.
6m + 72 = 144 ; 12 months
400
3 1/10z = 6 1/5
2
400
13 - 3f = -8
7
400
3/5p - 15 = 6/5p + 12
-45
400
12(t + 3) = 4(2t + 9) + 4t
Infinite Solutions or Identity
400
John Cobb averages 18 points a game and is the all time scoring leader on his team with 483 points. Connor averages 21 points a game and is currently in second place with 462 points. If both players continue at this rate, how many games until they have scored the same number of total points? Write and Solve an equation
18p + 483 = 21p + 462 ; 7 games
500
-2 4/5 = -3 1/2k
4/5
500
-5 - 25 = 25
-10
500
1/2i + 7 = 3/4i + 9
-8
500
1/2r + 2(3/4r - 1) = 1/4r + 6
4 4/7
500
The perimeter of a rectangle is 8(2x+1) inches. If the length of the sides are 3x + 4 inches and 4x + 3 inches, what is the length of each side of the rectangle?
13 in and 15 in
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