Solve Equations
x + 18 = 42
What is
x + 18 = 42
-18 -18
x = 42 - 18
x = 24
Write an inequality statement AND graph on a number line:
x is greater than 9.
What is x > 9 or 9 < x
Open dot at 9, arrow going to the right
The height of a person should not be less than 5 ft to get a police job. Use h to represent the height of a police officer.
What is h ≥ 5 or 5 ≤ h
Create an equation that represents the scenario:
Kendal wants to play several games of laser tag. Each game of laser costs $5. Let L represent the number of laser tag games and T represent the total cost.
What is
5L=T or T=5L
Emma and Issac got paid a total of $10.50 for babysitting. Emma got paid x dollars and Issac got paid $7.10. Determine how much money Emma got paid.
Create and solve an equation that shows the relationship between how much money, x, each person got paid and the total money, m, that they got paid. Also, state your final answer in words.
What is
x + 7.10 = 10.50
-7.10 -7.10
x = 10.50 - 7.10
x = 3.4
Emma got paid $3.40
x-1/2=7/4
What is
x - 1/2 = 7/4
+ 1/2 + 1/2
x = 7/4 + 1/2
x = 7/4 + 2/4
x = 9/4
or x = 2 1/4
Write an inequality statement AND graph on a number line:
x is less than or equal to -9
What is x ≤ -9
Closed dot at -9, arrow going to the left
The price of a ball should not be more than $2. Let p represent to price of a ball.
What is p ≤ 2 or 2 ≥ p
Create an equation that represents the scenario:
Melissa and Rachel like to garden. Melissa planted 20 pink flowers and Rachel planted B blue flowers. Together they planted a total of F flowers. Let B represent the number of blue flowers Rachel planted and F represent the total flowers they planted.
What is
20+B=F or F=20+B
Nate ran 4 times farther than Timmy who ran x miles. Let x represent the the number of miles Timmy ran and let y represent the total number of miles Nate ran. If Nate ran a total of 28 miles, then how many miles did Timmy run?
Create and solve an equation that shows the relationship between how many miles Nate ran, x, and how many miles Timmy ran, y. Also, state your final answer in words.
What is
4x = y when y = 28
4x = 28
÷4 ÷4
x = 28 ÷ 4
x = 7
Timmy ran 7 miles.
x/0.2=0.09
What is
x/0.2 = 0.09
• 0.2 • 0.2
x = 0.09 • (0.2)
x = 0.018
Write an inequality statement AND graph on a number line:
x is a minimum of -1
What is x ≥ -1 or -1 ≤ x
Closed dot at -1, arrow going to the right
To ride the Insane Coaster, you need to be a minimum of 4 ft. tall and a maximum of 9 ft. tall. Let f represent the height a person needs to be.
What is 4 ≤ f ≤ 9
Create an equation that represents the scenario:
Chick-Fil-A uses 1/4 teaspoons of sugar for each of their secret sauce packets. Let T represent the total number of teaspoons of sugar used and S represent the number of secret sauce packets.
What is
1/4S=T or T=1/4S
Aneeka pays $8.25 per month for her Netflix subscription. Let m represent the number of months and t represent the total amount of money paid. How
Create and solve an equation to determine how much money Aneeka will have paid after 6 months. Also, state your final answer in words.
What is
8.25m = t when m=6
8.25(6) = t
49.5 = t
After 6 months, Aneeka will have paid a total of $49.50
10=2/9x
What is
10 = (2/9)x
÷ 2/9 ÷2/9
10 ÷ 2/9 = x
10/1 • 9/2 = x
90/2 = x
45 = x
Write a compound inequality statement AND graph on a number line:
x is greater than or equal to -3 and x is less than 8
What is -3 ≤ x < 8
Closed dot at -3 and Open dot at 8, line (NOT AN ARROW) going in between both dots
The elevator has a weight limit 1,200 pounds. Let w represent the weight limit in pounds.
What is w ≤ 1,200 or 1,200 ≥ w
Create an equation that represents the scenario:
Tyler read a total of X pages. Tyler reads 6.7 pages per hour. Let H represent the number of hours and X represent the total pages read.
What is
X=6.7H or 6.7H=X
The equation t = 29m represents Insane Gym's relationship between the number of months, m, and total money paid for the membership, t.
A) How much money is the membership per month at Insane Gym?
B) After 5 months, how much would it cost to be a member at Insane Gym?
C) If you have already spent $174, then how many months have you been a member at Insane Gym?
What is
A) You pay $29 per month at Insane Gym.
B) t = 29m when m = 5
t = 29(5)
t = 145
After 5 months, you will have paid a total of $145
C) t = 29m when t = 174
174 = 29m
÷ 29 ÷29
174 ÷ 29 = m
6 = m
If you have paid a total of $174, then you have been a member at Insane Gym for 6 months.
2.75=0.55x
What is
2.75 = 0.55x
÷ 0.55 ÷ 0.55
2.75 ÷ 0.55 = x
5 = x
Write a compound inequality statement AND graph on a number line:
x is not smaller than -7 and x is at most -1
What is -7 ≤ x ≤ -1
Closed dot at -7 and Closed dot at -1, line (NOT AN ARROW) going between these two dots
The sum of a number x and 21 is less than or equal to 37
What is x + 21 ≤ 37
Create an equation that represents the scenario:
An object on Earth weighs 6 pounds for every pound an object weighs on the Moon. Let Y represent the weight of an object on Earth and let X represent the weight of an object on the Moon.
What is
6X=Y or Y=6X
Each bunny at an animal sanctuary eats 8 1/5 cans of bunny food a week. If a total of 106 3/5 cans of bunny food was eaten, then how many bunnies were there?
Let T stand for the total amount of can of bunny food and let B stand for the number of bunnies. Create and solve an equation to solve the question above. Also, state your final answer in words.
What is
(8 1/5)B = T
(8 1/5)B = 106 3/5
÷ 8 1/5 ÷ 8 1/5
B = 106 3/5 ÷ 8 1/5
B = 533/5 ÷ 41/5
B = 533/5 • 5/41
B = 2,665/205
B = 13
There were 13 bunnies that ate a total of 106 3/5 cans of bunny food.