Multi-Step (One-Side
2x-8x+1=49
x=-8
8a-(15-a)=6(a-7)+15
a=-4
Define your variable, then set up and solve an equation for the following situation:
The sum of two consecutive integers is 113. Find the integers
56, 57
10x-29-7x=-53
x=-8
-10(n+3)=1/2(24-14n)-42
n=0
Define your variable, then set up and solve an equation for the following situation:
Elise is 5 years younger than Hailey. If the sum of their ages is 47, then find the age of each girl.
Elise is 21 years old
Hailey is 26 years old
-1/2(12p-42)=-33
p=9
4(2p-5)=-18-2(1-4p)
Infinite solutions
infty
Define your variable, then set up and solve an equation for the following situation:
In 7th grade, there are 9 more boys than girls. If there are a total of 51 students in the grade. How many boys and girls are there?
21 girls
30 boys
6(8-3x)-(2x+1)=107
x=-3
11k-2(8+k)=17k
k=-2
Define your variable, then set up and solve an equation for the following situation:
James has one less than four times the number of songs on his playlist than Owen does. In total, they have 469 songs. How many songs does James have?
James has 375 songs
93=5-2(p-8)-4p
p=-12
-3(2p+7)=4-6(p+3)
No solution
emptyset
Define your variable, then set up and solve an equation for the following situation:
Nick and Joe went out for lunch. Nick's bill was $5 more than one-half of Joe's bill. If the combined bill was $83, what were each of their bills?
Nick's bill: $31
Joe's bill: $52