Variables & Constants
Write a two-step equation for: "Seven more than twice a number n equals 19."
2n+7=19
What is the first inverse operation you should use to solve x/3+4=9x/3+4=9
Subtract 4 first
A number plus 9, then doubled, equals 26. Write the equation.
Let n be number: equation: 2(n+9)=26
2x+5=17
x=6
m/4−3=5
m=32
The perimeter of a rectangle is 34 cm. Its length is 10 cm. Write and solve an equation for its width w using two steps.
Perimeter 34, 2(length + width) = 34, length=10: 2(10+w)=34⇒
10+w=17⇒
w=7
4y−6=10
y=4
−5k+7=2.
k=1
You buy 3 identical notebooks and pay $15 after a $2 discount on the total. Write and solve a two-step equation for the price of one notebook. You may keep it in a fraction.
Let price be x: 3x−2=15⇒
3x=17⇒
x=17/3
3a+8=23
a = 5
1/2t+6=11
t=10
A taxi charges a $4 flat fee plus $2 per mile. You paid $18. Write and solve an equation for the number of miles m.
4+2m=18⇒
2m=14⇒
m=7
Create a two-step equation where the variable is on both sides after simplifying (but still two-step before simplifying), and solve it
example: 2x+4=x+9⇒
x=52x+4=x+9⇒
x=5.
−3/2p−4=5
p=−6
A gardener plants the same number of seeds in each row. After planting 5 rows, she has 47 seeds used. She started with 3 seeds left over before planting. Write and solve a two-step equation for seeds per row.
Let r be seeds per row: 5r=47−3=44⇒
r=8.85