Multi-Step
-5(3x-8)=10
x=2
1/3x+4=5
x=3
n + 4.6 = 0.7
n = -3.9
The greatest factor that two or more numbers share
What is the GCF?
Maria works for Verizon. She makes $200 a week plus $35.50 for every phone she sells. If Maria made a total of $732.50 for the week, how many phones did she sell? Write an equation to represent the number of phones sold(p) for the week.
$200+$35.50p=$732.50
7x+3=-18
x= -3
3/10x-2=-1/5
x=6
0.5x + 0.7 = −0.75
x= -2.9
The product of prime numbers that equals that number
What is prime factorization?
Molly's Bikes rents bikes for $17 plus $8 per hour. Emily paid $81 to rent a bike. Write and solve an equation to represent how many hours (h) she rented the bike for.
$17 + $8h = $81
h= 8 (8 hours)
-3x-32=-2
x=-10
-5/4-3x=-3/8
x=7/24
0.72 = -0.4x + 0.56
x= -0.4
Find the prime factorization of 1,360
24 x 5 x 17
You had $24 to spend on eight raffle tickets. After buying them you had $8. How much did each raffle ticket (t) cost?
Write and solve an equation to represent this situation.
$24-8t= $8
t= $2
2(-4x-8)=8
x=-3
5/6+2/9x=-1/3
x= -5 1/4
–14.3 = –1.4 – 3d
d = 4.3
Find the LCM and GCF of 12 and 56
LCM: 168
GCF: 4
The sum of three consecutive integers is 57. What are these three integers?
18, 19, 20
5(3x-9)-12=18
x=5
Write answer as a mixed number...
(7/6)d + 4/3 = -1/3
d = -1 3/7
14.2 = 2(–5.8 + t)
t = 12.9
How do you find the GCF and LCM of a number?
First write the prime factorization of each number.
To find the GCF, multiply all of the common prime factors of the numbers.
To find LCM, multiply the GCF by all prime factors left over.
Jonas, his wife and their 3 children made a trip to the Indiana state fair. Jonas spent $16 on entry tickets for adults. If he paid $23.50 for the entry tickets in total, how much did the entry fee for each child cost? Write an equation and solve.
16 + 3x = 23.50
x = 2.50