WorksheetsCreate Expression, Equations and Inequality in One Variable
Total questions: 31
Worksheet time: 28mins
Mark scored 6 times as many points as Justin. Write an algebraic equation to represent the number of points mark scored. Explain the meaning of the variables.
M = 6J
M=Mark
J = Justin
J = 6M
J = Justin
M = Mark
M = J + 6
M=Mark
J = Justin
M = J - 6
M=Mark
J = Justin
Nadine scored 8 points more than Mark. Write an algebraic equation to represent the number of points Nadine Scored. Explain the meaning of the variables.
N = M + 8
N = Nadine
M = Mark
M = N + 8
N = Nadine
M = Mark
N = 8M
N = Nadine
M = Mark
M = 8N
N = Nadine
M = Mark
Mrs. Olivo was saving money each month for the new 2022 Lamborghini Huracan Evo Spyder. The amount she has saved is represented by the expression
$450m + $32,875
Question:
What is the meaning of m?
(a)
Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of tickets for a group of people. Let n represent the number of people in the group. What are the important parts of this problem that can help you write an algebraic expression?
The aquarium is a fun place to go.
Tickets cost $27 per person
n stands for the number of people in the group
I am trying to find the total cost of tickets for the whole group
This is an algebra problem.
Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of tickets for a group of people. Let n represent the number of people in the group.
27 + n
27n
27/n
27 - n
Rhonda was organizing photos in a photo album. She took 60 photos and divided them evenly among p pages. Which algebraic expression represents the number of photos on each page? What are the important parts of this problem that can help you write an algebraic expression?
60 photos
This is an algebra problem
The phrase, "divided them evenly" lets me know which operation to use.
Her name is Rhonda
p stands for the pages
Rhonda was organizing photos in a photo album. She took 60 photos and divided them evenly among p pages. Which algebraic expression represents the number of photos on each page?
p / 60
60 / p
60 + p
60p
Kelly has some money she has already saved. After mowing two lawns on Saturday, she adds $40 to her savings. How much money has Kelly saved altogether? Let s represent the amount of money she already has in savings. What information is needed in order to help write an algebraic expression?
s stands for the amount of money she already saved.
Kelly likes to mow lawns
The words "she adds" lets me know to write a + sign.
She added $40 to her savings.
Kelly worked on Saturday.
Kelly has some money she has already saved. After mowing two lawns on Saturday, she adds $40 to her savings. How much money has Kelly saved altogether? Let s represent the amount of money she already has in savings.
s + 40
40s
40 - s
40/s
Tyrell has a sister that is y years younger than him. If Tyrell is 12 years old, how old is his sister? What information is important to help you write an algebraic expression?
Tyrell does not have a brother
Tyrell gets along with his sister.
Tyrell is 12 years old.
y represents the amount of years his sister is younger than him.
Since the sister is younger than him, that means I need to subtract.
Tyrell has a sister that is y years younger than him. If Tyrell is 12 years old, how old is his sister? Which algebraic expression could be used to find the age of Tyrell's sister?
y - 12
12 / y
12 + y
12 - y
The time it takes me to get to school is m minutes. It takes me 15 minutes longer to get home. My total time driving each day is 55 minutes.
2 x 15 + m = 55
m + 15 = 55
m + m + 15 = 55
55 - m = 15
James spent $10.32 on bread and cheese at the store. A loaf of bread costs $4.75. Which equation represents the problem?
c - 10.32 = 4.75
c = 10.32 + 4.75
c + 4.75 = 10.32
4.75c = 10.32
The perimeter of a rectangle is 270 feet. If the width is 50 feet, what is an equation to find the length?
270 = 2l + 100
270 = 2w + 100
270 - 50 = w
270 - 50 - 2w
It costs Raquel $5 in tolls to drive to work and back each day, plus she uses 3 gallons of gas. It costs her a total of $15.50 to drive to work and back each day. What is an equations that represent how much per gallon is Raquel paying for her gas? Let "g" be the variable.
(a)
Mrs. Jackson earned a $500 bonus for signing a one year contract to work as a nurse. Her salary is $22 per hour. If her first week’s check including the bonus is $1204, what is an equations that represent how many hours did Mrs. Jackson work? Let "h" be the variable.
(a)
The daycare center charges $120 for one week of care. Families with multiple children pay $95 for each additional child per week. Write an equation for the total cost for one week of care in terms of the number of children. What is an equations that represent how many children does a family have it they spend $405 a week in childcare? Let "c" be your variable
(a)
Does the given value make the inequality true? x + 9 > 21, when x = 15
True
Not True
Your cell phone plan allows you 400 minutes to talk per month. So far this month, you have used 265 minutes and you have 7 days left on this month’s plan. Which inequality could you use to determine how many minutes at most you can use per day so that you don’t go over your monthly plan minutes?
7x + 265 < 400
7x + 265 ≤ 400
7x + 265 > 400
7x + 265 ≥ 400
A carafe at a banquet holds about 12 cups of coffee. When the carafe has 1 cup or less of coffee left, the waiter dumps the coffee out and pours in a fresh pot. Each coffee mug at the banquet holds 6 ounces of coffee. Assuming each person fills his or her mug, what inequality represents the number of people who can fill their mugs before the carafe needs to be refilled?
(Hint: 1 cup = 8 ounces)
12 – 0.75x ≤ 1
12 – x ≤ 1
12 – 0.75x ≥ 1
12 – x ≥ 1
What word or phrase best describes the graph of an OR inequality?
inside
between
not between
beautiful
What word or phrase best describes the graph of an AND inequality?
separate
between
not between
annoying
The Celsius (C) and Kelvin (K) conversion of temperature is given by the formula, K = C + 273. If an acid solution is required to be kept between -10ºC and 5ºC, what is the range of temperature in Kelvin?
258 < K < 273
268 < K < 283
273 < K < 288
263 < K < 278
Bonus
Think of any number between 1 and 10
Double the number.
Add 9
Subtract 3
Divide the answer by 2
Subtract the number with the first number started with.
3
4
5
6
