One Step Equations
Solve: x+4=12
Solve: 2x + 1 = 5
x = 2
Solve: 2(x-1) = 4
Last week Sam had 43 dollars. He washed cars over the weekend and now has 51 dollars. Write the equation modelling this situation. How much money did he make washing cars ?
43 + x = 51
x = $8
Represent as an equation:
Three more than a number is seven.
x + 3 = 7
Solve y - 41 = 30
y = 71
Solve: y/5 - 3 = 22
y = 125
Solve: 14 = 7(y+10)
y = -8
On Monday, 176 students went on a trip to the zoo. All 4 buses were filled and 4 students had to travel in cars. How many students were in each bus ?
176 = 4n + 4
n = 43 students in each bus
Represent has an equation:
Six less than a number is negative eighteen.
x - 6 = -18
Solve x/2 = -14
Solve: 120 = 52 + 4n
Solve: -8(t - 38) = 320
t = -2
Alyssa spent half of her allowance going to the movies. She washed the family car and earned 6 dollars. What is her weekly allowance if she ended with 18 dollars? Write an equation to model this situation.
a/2 + 6 = 18
a = $24
Represent as an equation:
Fifty-four is eight more than twice a number.
54 = 2x+8
Solve: -11y = -132
y = 12
Solve: 70 - 6k = 181
k = -18.5
Solve: -9.6 = -1.2(r + 2.5)
r = 5.5
Jack's mother gave him 50 chocolates to give to his friends. He gave 3 chocolates to each friend and had 2 left over. Determine an equation to solve for the number of friends he has.
50 = 3n + 2
n = 16 friends.
Represent as an equation
Half of five less than a number is sixteen.(x-5)/2 = 16
Solve: -5.5r = 88
r = -16
Solve 150 = -32 - y/3
y=-546
Solve: 1/5 (-4 - 2x) = -13
x = 30.5
The sum of three consecutive numbers is 78. Write an equation to determine the smallest of these numbers.
x + (x + 1) + (x +2) = 78
3x + 3 = 78
x = 25
Represent in words and solve.
3(x-5) = 18
Triple five less than a number is eighteen.
x = 11