One-Step Equations
What is the solution for a + 5 = 81?
Solve the following equation for p:
2p + 3 = 13
p = 5
In the linear equation a = 2b + 3, what is the independent variable?
b is the independent variable
My bag of Halloween candy was more than 3 lbs.
Write an inequality to represent the situation. Let w represent the weight of the bag of candy.
w > 3
What expression represents the sum of a number, b, and 3?
b + 3
What is the solution for b - 12 = 108?
b = 120
Solve the following equation for d:
d/5 + 9 = 13
d = 20
In the linear equation t - 2 = c, what is the dependent variable?
c is the dependent variable
The weight limit of the elevator in my building is 800 lbs.
Write an inequality to represent the situation. Let w represent the weight limit.
w <_ 800
Simplify the following expression: 2g + g + 5 + 2
3g + 7
What is the solution for 3c = 81?
c = 27
(b + 2) x 4 = 56
b = 12
Using the linear equation b = 3m + 1, what is the value of b if m = 4?
b = 13
There are more than 300 students at The Bronx Dance Academy. Write an inequality that represents s, the number of students registered at the school.
s > 300
Write an equivalent expression for 6(3b - 7).
18b - 42
What is the solution for d/7 = 13?
d = 91
Solve the following equation for h:
h - 7 + 6 = 39
h = 40
In the linear equation, 3n = m, where n is the number of balloons sold and m is the money collected, would the ordered pair (4, 15) make the equation true?
No, (4,15) would not make the equation true because the number of balloons must be multiplied by $3 to get the money collected. 4 x 3 is not equal to 15.
The heights of the five boys on the starting line-up of the basket ball team are listed below in inches:
60, 58, 62, 66, 63
Which inequality represents h, the height of any of the starting players?
a) h > 60 b) h < 66 c) h > 58 d) h < 67
d) h < 67
All of the heights listed are less than 67 inches.
Sandy buys f feet of ribbon for 89 cents per foot. She pays the clerk with a 10 dollar bill. The clerk subtracts the total cost of the ribbon from the 10 dollar bill to determine the amount of change to give Sandy. Write an expression to represent the amount of change Sandy should receive?
10 - 0.89f
Joe had p dollars on Monday. His mom have him 5 more dollars on Tuesday. Altogether, he has 21 dollars. Write and solve an equation to figure out what amount he had on Monday.
p + 5 = 21
p = 16 dollars
Joe had 16 dollars on Monday.
John drives a cab in Manhattan. He charges $2.50 plus $1 per mile, m, for a cab ride. On his first ride yesterday, John earned $12.50. Write and solve an equation to find how many miles was his first cab ride yesterday.
2.50 + 1m = 12.50
m = 10
John drove 10 miles for his first cab ride.
In the linear equation, t = p + 12, could the ordered pair (7.5, 19.5) make this equation true?
Yes, (7.5, 19.5) would make the equation true because if p = 7.5 and you add 12 to that, you would get 19.5.
At the local ice-cream shop they sell at least 6 giant cartons of chocolate ice-cream every 3 days. Write an inequality that shows the number of cartons they sell in one week, if they are closed on Sundays? Let c represent the number of cartons of ice-cream.
c >_ 12
Write a simplified expression for: 3(p + 2) + 3p - 4
3p + 6 + 3p - 4
6p + 2