One Step Equations
r + 6 = -3
r = -9
10 < b - 8
18 < b or b > 18
5x + 4 = 19
x = 3
4x - 15 < 5
x < 5
The difference of five times a number and six is nineteen. Write and solve the equation.
5x - 6 = 19, x = 5
w - 7 = 11
w = 18
1.2 + m < 5.5
m < 4.3
6m + 1 = -23
m = -4
-2x + 5 > -7
x < 6
Nine more than the quotient of a number and 4 is less than or equal to 18. Write and solve the inequality.
x/4 + 9 < 18, x < 36
-4j = 36
j = -9
15 < 3r
5 < r or r > 5
15 - 1/2b = -3
b = 36
-73 > 15 + 11x
-8 > x or x < -8
The width of a computer monitor is 1.25 times its height. Find the height of the computer monitor if the width is 15 inches. Write and solve the equation. Interpret your solution.
1.25x = 15, x = 12, The height of the computer is 12 inches.
63 = -9g
g = -7
-12n > -72
n < 6
12(x - 20) = -48
x = 16
x/5 - 2 > 1
x > 15
It cost $7.50 to enter a petting zoo. Each cup of food to feed the animals is $2.50. If you spent $12.50, how many cups did you buy? Write and solve an equation. Interpret your solution.
2.50c + 7.50 = 12.50, c = 2, You bought two cups.
h/-3 = 12
h = -36
-8 < y/-5
40 < y or y > 40
2/5(r - 3) = 30
r = 78
9 < x/-14 + 6
-42 > x or x < -42
Catie is starting a babysitting business. She spent $26 to make signs to advertise. She charges an initial fee of $5 and then $3 each hour of service. Write and solve an inequality to find the number of hours she will have to babysit to make a profit. Interpret the solution.
3h + 5 > 26, h > 7, She must work more than 7 hours.