One-Step Equations
Solve for x:
x + 12 = 20
x = 8
Solve for x:
2x + 4 = 20
x = 8
A rectangular rug as an area of 38.5 square feet. If the rug is 5 feet wide, what is the length of the rug?
(hint: what's the formula for area of rectangle?)
Define your variable!
Label
Let l = length
5l = 38.5
l = 7.7 ft
Solve for x:
2(x + 1) - 7 = 5
2x + 2 - 7 = 5
2x - 5 = 5
2x = 10
x = 5
Solve for x:
-10x = 80
x = -8
Solve for x:
-9 + (x/6) = -10
x = -6
Daniel bought movie tickets for 6 friends. If he paid a total of $67.50 for the tickets, what was the cost of one movie ticket?
*Define your variable!
Label
Let t = ticket cost
6t = 67.5
t = $11.25
Solve for x:
5(6x + 5) = -25 + 5x
30x + 25 = -25 + 5x
25x = -50
x = -2
Solve for x:
(x ÷ 4) = 11
(hint: write x/4 as a fraction on whiteboard)
x = 44
Solve for x:
2 = (x + 5)/6
(write out on whiteboard to see fraction normally)
x = 7
Lane is fourteen years older than Michelle. If Lane is 33, how old is Michelle?
Define your variable!
Label
Let M = Michelle
14 + M = 33
M = 19 years old
Solve for x:
-8(-5x + 7) = 7(7x + 1)
40x - 56 = 49x + 7
-63 = 9x
-7 = x
Translate (write equation) & solve:
The difference between a number and nine is 14
n - 9 = 14
n = 23
Translate (write equation) & solve:
Eight less than ten times a number is 122
n = 13
Setup equation & solve:
Madison has a beach chair and umbrella stand. Each umbrella rents for $19 per day. At the end of one day, she made $130 off beach chair rentals and the rest from umbrella rentals. If she made a total of $567, how many umbrellas did she rent that day?
Define variable & label!
Let u = umbrella
19u + 130 = 567
u = 23 umbrellas
Translate (write equation) & solve:
The sum of 4 and a number, divided by two is less than 6
(4 + n)/2 < 6
n < 8
Translate (write equation) & solve:
Half of a number is equal to 13
(1/2)n = 13
n = 26
Translate (write equation) & solve:
The sum of negative nine and a number, divided by four, is negative 6
(-9 + n)/4 = -6
n = -15
Setup equation & solve:
Victoria spend one-fourth of her birthday money on clothes. She received another $25 a week later. If she has a total of $70 now, how much did she have before she went shopping?
Define variable & label!
Let m = money before shopping
(3/4)m + 25 = 70
m = $60
Setup equation & solve:
Nancy has $240 in the bank. She wants to buy as many $15 video games as possible. How many could she buy if she wanted to keep at least $120 in the bank?
Define variable & label!
Let v = video game
240 - 15v ≥ 120
v ≤ 8 video games