Solving Two-Step Equations
Solve for w.
6 + 2w = 8
w = 1
Solve for x.
3(x + 5) = 36
x = 7
To win the annual read-a-thon at his school, Malik has to read more books than any of his classmates over winter break. He starts by reading a lot of sports books. Then, he reads 10 mystery books. In all, Malik reads 23 books for the read-a-thon.
Which equation can you write to find the number of sports books n Malik reads?
n + 10 = 23
Who is the best team in the NFL?
PHILADELPHIA EAGLES!!!!!!!!!!!
Solve for q.
2q − 3 = 5
q = 4
Solve for q.
3 = –3(q + 5)
q = -6
Last summer, Emma's family rented an RV. The rental fee allowed them to use the RV for 8 days. Emma's parents paid an additional $55 for the Great Outdoors upgrade, which included a grill to use for the duration of their trip. Emma's family paid $895 in all.
Which equation can you write to find the rental cost, d, of each day they used the RV?
8d + 55 = 895
Solve for v.
3v + 1 = 10
v = 3
Solve for x.
-(x + 4) = 1
x = -5
Trent and his family are heading to Perfect Putt Mini-Golf. They plan to purchase the group package. With the package, the cost per person is $3 less than the normal cost for an individual. There are 6 people in Trent's family. His mom called ahead and found that the total cost for the family will be $30.
Which equation can you write to find the normal cost, x, for an individual?
6(x - 3) = 30
At practice, Diego does twice as many push-ups as Noah, and also 40 jumping jacks. He does 62 exercises in total. The equation describes this situation. What does the variable represent?
a.) The number of jumping jacks Diego does
b.) The number of push-ups Diego does
c.) The number of jumping jacks Noah does
d.) The number of push-ups Noah does
Solve for x.
x/2 + 5 = 17
x = 24
Solve for z.
(z - 3)6 = 6
z = 4
Every day, Rhianna walks by the same grocery store on her way home from school. Most days she goes in to buy a snack. Today she's craving peanut-butter pretzels, so she fills a small bag from the bulk bin section. After weighing the bag on the scale, she removes 0.35 pounds of pretzels. Now the bag weighs 0.15 pounds.
Which equation can you write to find the weight w of the bag before Rhianna removes the pretzels?
w - 0.35 = 0.15
Solve for x.
25 - 3x = 40
x = -5
Solve for x.
1/3(x - 10) = -4
x = -2
A food pantry is making packages. Each package weighs 64 pounds. Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice. The bags of rice are all identical.
Write and solve an equation to represent the situation.
4(x + 7) = 64
x = 9