Writing Equations
An empty crate weighs 15 lbs. A farmer is putting oranges in the crate. Each orange is 0.34 lbs. The total weight of the crate filled with x oranges is 24.78 lbs. Write an equation to represent the weight of the crate and oranges inside.
15+0.34x=24.78
The maximum number of students in a classroom is 26. If there are 16 students signed up for class, write an inequality to represent the number of students that can still sign up, x.
16 + x </ 26
Solve for x:
4x-12=16
x=7
Solve and graph the inequality:
4+x < 8
x < 4
If an inequality has a greater than or equal to sign, is the graph going to have a closed or an open circle?
closed circle
Write an equation to represent the statement: Three fewer than one-fourth of x is 12.
1/4x - 3 = 12
Brittney is buying new fish for her aquarium. Each one is $3. She can spend no more than $15 for new fish. Let f be the number of fish she can buy. What inequality represents the problem?
3f </ 15
n/10 + 7 = 10
n = 30
-0.5x >/ 9
x </ -18
An equation has an _________ sign.
equal
Miah buys 4.5 lbs of plums. She has a coupon for 55 cents off her entire purchase, which was $3.32. If c represents the cost of plums per lb, what equation would represent her situation?
4.5c - 0.55 = 3.32
Isaac has a bag of n peanuts. He shares the peanuts with 5 of his friends. Each person gets at least 18 peanuts. Write an inequality to represent the situation.
n / 6 >/ 18
Solve for x:
-2(x+5)=4
x=-7
1/5n - 8 < 95
n < 515
An inequality has an __________ sign.
inequality
A family buys 4 airline tickets online. The family buys travel insurance, which is $19 per ticket. The total cost is $752. Let x represent the price of one ticket. Write an equation to represent the total cost.
4(x+19)=752
Dani's neighbors paid her to take care of their bird during their vacation. Dani spent $4 of her earnings on an afternoon snack and $16 on a new book. Afterward, she had at least $8 left. Write an inequality to represent how much Dani's neighbors paid her.
p-20 >/ 8
Solve for p:
1/8 (p+24) = 9
p=48
b/45 +7 > 5
b > -90
Give an example of an equation
Teacher's discretion...
A local charity receives 1/3 of funds raised during a craft fair and a bake sale. The craft fair raised $252.60. The total amount given to charity was $137.45. Write an equation to find how much the bake sale raised.
1/3(x+252.60) = 137.45
Talia has a daily budget of $94 for a car rental. It is $30 per day plus $0.20 per mile. Write an inequality to find the greatest distance Talia can drive each day while staying within her budget.
30+0.20x </ 94
Solve for a:
2/3 (6a+9)=20.4
a=3.6
15.6 < 2.7(z-1) - 0.6
z > 7
Give an example of an inequality
Teacher's discretion