Absolute Value Equations
Two-Step Equations
Multi-Step Equations
Multi-Step Equations w/ Variables on Both Sides
Writing and Solving Equations
Solving Literal Equations
100
Solve for d.
|-3d|=15
d=5 , d= -5
100
Solve for a.
6a – 13 = 11
x= 4
100
Solve for x.
4x + 3 = 7
x = 1
100
Solve for n.
5n - 2 = 8n - 14
n = 4
100
a
x = $6.50
100
Solve the equation for r.
I=Prt
r = I/Pt
200
|(x/2)|+10=4
No Solutions
200
Solve for y.
3y + 5 = 14
x= 3
200
Solve for y.
4(6 + 5y) = 124
x = 5
200
Solve for p.
-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 and solve an equation to represent this problem and find the number of pages in Ali's science textbook.
690 = 2p - 248
p=469 pages
200
Solve the equation for y.
8x − 3 = 5 + 4y
y = 2x − 2
300
Solve for x.
|x-1| - 24 = -7
x=18, x = -16
300
(x/2) +10=-8
x= -36
WILD CARD - BONUS 100 POINTS - IF CORRECT
300
Solve for p.
-108 = -8(p + 6) - 4
x = 7
300
Solve for n.
6(6n - 2) = 8n - 40
n = -1
300
Write and solve an equation that represents the following:
A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got off 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?
44-x+2x=50
x=6 Passengers
300
Solve the literal equation for y.
2x − 4y = 20
y=1/2 x − 5
400
|4n-15|= |n|
n=3, n=5
WILD CARD - BONUS 100 POINTS - IF CORRECT
400
(x/2)-4=10
x= 28
400
Solve for a.
172 = 5(4a + 6) + 2
a=7
400
Solve for x.
5x + 5 + 4x = 4 - 3x + 6
x= 5/12 or x= 0.41667
WILD CARD - BONUS 100 POINTS - IF CORRECT
400
Write and solve an equation that represents the following:
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?
12+j=4j
j=4 bottles of orange juice
400
Solve the equation for y
x = 10y - y
y = x/9
500
3= -2|1/4 s-5|+3
s=20
500
(x/3)+12=-3
x= -45
500
Solve for k.
-93 = 7(-3k - 8) + 5
k = 2
500
Solve for n.
-5(8n - 4) - n = - 16 - 5n
n = 1
500
Write and solve an equation that represents the following. Then find the length of each side.
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.
(x+2)+x+(2x-5)=49
1st Side: 15 feet
2nd Side: 13 feet
3rd Side: 21 feet
500
Solve for x
a = bx + cx + d
x = (a - d)/(b + c)
600
Solve for p.
4|p-3| = |2p+8|
p=2/3, p=10
600
Solve for 3n.
25 = 1/4n - 3
n = 336
600
Write the equation and solve for cost of each book (b):
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
b = 18 Each book costs $18.00.
600
Solve for 2x.
2x - 4 = 3x + 2(x - 3)
x= 4/3
600
Write and solve an equation that represents the following.
Find three consecutive integers such that the sum of twice the smallest and three times the largest is 126.
2x + 3(x+2) = 126
Smallest: 24
Second: 25
Largest: 26
600
Solve for a.
x=(a+b+c)/(ab)
a= (b+c)/(bx-1)