2 Step Equations
2x + 4 = 10
x = 3
x = 4
|2x-1|=-9
x = 5 or x = -4
Strawberries are $3.75 a pound. Andy buys x pounds of strawberries and pays $16.84. Write an equation and solve each equation.
3.75x = 16.84
Andy bought 4.49 pounds of strawberries.
x/3 - 2 = 13
x = 45
3(x-2)+4x = 22
x = 4
3|x-2| =15
x=-3 and x=7
A store is selling packs of batteries for $6 each. Alex also pays a flat shipping fee of $4. If he spent $28 total, how many packs did he buy? Write an equation and solve.
6x+4=28 x=4
-5x + 7 = -3
x = 2
4x-3+2x+5 = 44
x = 7
Cooper Prather is practicing field goals. His coach wants him to kick from exactly 40 yards but due to the field conditions, his position varies by 2.5 yards in either direction. What is the acceptable kicking distance?
Min Distance = 37.5 yards
Max Distance = 42.5 yards
A jacket originally costs $80. It's on sale for 25% off. What is the sale price? Write an equation and solve.
x = 80 - 0.25(80)
x = $60
2/3x-4=6
x = 15
5x + 2 = 3x + 7
x= 2.5 OR
5/2
|x+2|+7 =4
NO SOLUTION
Two gyms offer monthly membership plans:
-Gym A charges a $25 sign-up fee plus $40 per month
-Gym B charges no sign-up fee but charges $50 per month
After how many months will the total cost of both gyms be the same? Write an equation and Solve.
25 + 40x = 50x
x=2.5 months
3x + 5 = x + 11
x = 3
2(x-3)+4 = 3(x+1)-5
x=0
The average length of a male German Shepherd is 4 feet long. The actual length of a male German Shepherd can vary by 0.7 feet in either direction. Write an absolute value equation to determine the value of x AND solve the equation to find the smallest and largest lengths of a male German Shepherd.
|x-4| = 0.7
Min. x = 3.3
Max. x= 4.7
Coach Archer plans on renting a car to drive to Baltimore. The car costs $175 per day. The rental includes 200 miles for free and then charges $0.50 per mile. The total price was $632.12. Write an equation and solve.
632.12 = 175 + 0.50(m - 200)
m = 1,114.24 Miles traveled