Two-Step Equations
Multi-Step Equations
Multi-Step Equations w/ Variables on Both Sides
Writing and Solving Equations
100
6x – 13 = 11
x= 4
100
Solving Equations
4x + 3 = 7
x = 1
100
Solving Equations
5n - 2 = 8n - 14
n = 4
100
a
200
3x + 5 = 14
x= 3
200
Solving Equations
4(6 + 5x) = 124
x = 5
200
Solving Equations
-4(-8p + 1) = -4 - 8p
p = 0
200
Ali's mathematics textbook contains 690 pages. This is 248 pages less than twice the number of pages in Ali's science textbook. Write an equation for this
690 = 2p - 248
300
(x/2) +10=-8
x= -36
WILD CARD - BONUS 100 POINTS - IF CORRECT
300
Solving Equations
-108 = -8(x + 6) - 4
x = 7
300
Solving Equations
6(6n - 2) = 8n - 40
n = -1
300
A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got o! at New Jersey. The number of passengers who boarded the bus in New Jersey was twice the number of passengers who got off the bus. If the bus has 50 passengers now, how many passengers got on in New Jersey?
6 Passengers
400
(x/2)-4=10
x= 28
400
Solving Equations
172 = 5(4a + 6) + 2
a=7
400
Solving Equations
5x + 5 + 4x = 4 - 3x + 6
x= 5/12 or x= 0.41667
WILD CARD - BONUS 100 POINTS - IF CORRECT
400
Megan and four of her friends plan to go for a long drive. She buys 12 bottles of frappe and a few bottles of orange juice from a supermarket. The total number of bottles they have is four times that of orange juice bottles. How many bottles of orange juice did Megan buy?
4 bottles
500
(x/3)+12=-3
x= -45
500
Solving Equations
-93 = 7(-3k - 8) + 5
k = 2
500
Solving Equations
-5(8n - 4) - n = - 16 - 5n
n = 1
500
The first side of a triangle is 2 feet longer than the second. The third side is 5 feet shorter than twice the second. The perimeter is 49 feet. Find the length of each side.
1st Side: 15 feet
2nd Side: 13 feet
3rd Side: 21 feet
600
25 = 1/4n - 3
n = 112
Steps:
25 = 1/4n - 3
+ 3 +3
28 = 1/4n
now multiply by 4 or (4/1), combine like terms and simplify 4 * 1/4n.
4 * 28 = 4 * 1/4n
112 = n
600
Write the equation:
You buy 3 books that each cost the same amount and a magazine, totaling $55.99. The magazine cost $1.99. How much does each book cost?
3b + 1.99 = 55.99
BONUS: 3b + 1.99 = 55.99
-1.99 -1.99
3b = 54.00
3b/3 = 54.00/3
b = 18 Each book costs $18.00.
600
2x - 4 = 3x + 2(x - 3)
x= 2/3
600
Find three consecutive integers such that the sum of twice the smallest and three times the largest is 126.
Smallest: 24
Second: 25
Largest: 26