One-Step Equations
-226.8 = 21.6y
-10.5
-3m + 4 = -26
10
Translate the following into an equation:
8 more than half a number is 32.
1/2x + 8 = 32
7a + 10 = 2a
a = -2
3(−5x+7)= −5(3x−4)
no solution
-3/4t = 5
-6 2/3
2 - 5n = 17
-3
Translate the following into an equation:
15 less than the quotient of a number and 9 is 81
x/9 - 15 = 81
12 - 5h- = h + 6
h = 1
8(−8x − 4) = −64x − 32
infinitely many solutions
-2/9g = -7/9
3 1/2
-12 + v/20 = -11
20
Shayna had $22 to spend on six notebooks. After buying them she had $10. How much did each notebook cost?
22 - 6n = 10
n = $2
3 - 2/9b = 1/3b - 7
b = 18
Justin earned 3(t + 1) points on his math quiz. Sandy earned 3(2t - 3) points on her math quiz. If they each earned the same number of points, how many did each earn?
3(t + 1) = 3(2t - 3)
15 points
-1 13/14a = 1 5/7
-8/9
6 - a/2 = 4
4
Wesley scored four more than half as many touchdowns as Garrett this year. If Wesley scored 14 touchdowns, how many did Garrett score?
1/2g + 4 = 14
g = 20 touchdowns
Write and solve the following equation:
Twelve more than seven times a number equals the number less six.
7n + 12 = n - 6
n = -3
83 = −(1− 5n)+7n
n = 7
-12 2/3 = -1 1/9y
11 2/5
(9 + y) / 16 = 2
23
332 students are in the gymnasium. Seven rows of bleachers are filled and 17 students are sitting in chairs. How many student are in each row of bleachers?
7b + 17 = 332
b = 45 students
EZ Car Rental charges $40 a day plus $0.25 per mile. Ace Rent-A-Car charges $25 a day plus $0.45 per mile. What number of miles results in the same cost for one day?
40 + 0.25m = 25 + 0.45m
m = 75 miles
x - (4x - 7) = 5x - (x + 21)
x = 4