Solving Equations
a + 17 = 42
a = 25
A school club sells T-shirts for $12 each. The equation
12x = 180 represents the situation. What does x represent?
A) The price of one T-shirt
B) The number of T-shirts sold
C) The total money collected
D) The amount of money still needed
B) The number of T-shirts sold
x + 4 > 32
x > 28
Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
Create an equation and solve.
n + 3 = 11
Julie's sister is 8 years old
Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit greater than $5225, how many bags of dog food does it need to sell?
Create an inequality from the scenario above and solve.
5.50x > 5225
The store would need to sell 950 bags of dog food.
-3x = 9
x = -3
A pizza restaurant charges $10 per pizza and $3 per drink. The equation 10p + 3d = 56 represents a family's order. What does 3d represent?
A) Number of drinks purchased
B) Total cost of the pizzas
C) Total cost of the drinks
D) Total cost of the order
C) Total cost of the drinks
-2x + 8 > 28
x < -10
Ms.Estrella bought 7 OCHS t-shirts for a total of $90.93. Each t-shirt cost the same amount.
Create an equation for the scenario above.
How much was each shirt?
7x = 90.93
Each t-shirt cost $12.99
Ross is a wrestler trying to make weight. He currently weighs 200 lbs. If he cuts 2 lbs. per week, how many weeks will it take him to weigh less than 175 lbs?
Create an inequality and solve.
200 - 2x < 175
x> 12.5
2(-3x +5) = 40
x = -5
A student has $40 and saves $8 each week. The inequality 40 + 8w ≥ 100 represents the situation. What does ≥ 100 mean?
A) The student wants exactly $100
B) The student has less than $100
C) The student wants at least $100
D) The student saves $100 each week
C) The student wants at least $100
-p - 4p> -10
p < 2
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76.
Create an equation for the scenario above.
What was the cost for a bag of raisins?
17r + 2.97 = 34.76
Each bag of raisins cost $1.87
Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones?
Create an inequality and solve
14c + 30 (greater than or equal to) 240
She must at least 15 cars in order to buy the headphones.
7k - 8 + 2(k + 12) = 52
k = 4
A baseball team has $600 to spend on a tournament. They pay a $150 entry fee and $25 for each player who attends. The inequality 150 + 25p ≤ 600 represents the situation. What does 25p represent?
A) The total cost for the players
B) The cost of the tournament entry
C) The maximum amount the team can spend
D) The number of players on the team
A) The total cost for the players
-5n- 6n < 8 - 8n - n
n> -4
Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes.
Create an equation for the scenario above.
How many apples were in each box?
4a - 3 = 109
There were 28 apples in each box.
Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?
Create an inequality and solve.
50w + 2400 (greater than or equal to) 4800
It will take her a minimum of 48 weeks to save up enough money to buy her car.
12-6(w-3)=3(-5-3w)+21
w = -8
A school is selling tickets to a fundraiser. Student tickets cost $5 and adult tickets cost $8. The equation
5s + 8a = 400 represents the total amount collected. Which statement correctly describes the equation?
A) The school sold exactly 400 tickets.
B) Each student ticket costs $5, each adult ticket costs $8, and the total collected is $400.
C) The school collected $5 from students and $8 from adults every day.
D) The school must sell 400 student and adult tickets.
B) Each student ticket costs $5, each adult ticket costs $8, and the total collected is $400.
-4(4+7x)+x > -6x+5
x<-1
Mary and her sister are saving up to buy a DSLR camera. Mary has saved up $299.99 in her account. Her sister, Ellie, set aside her weekly allowance over a five week period to buy the camera that cost $699.99.
What is Ellie's weekly allowance?
Create an equation and solve.
299.99 + 5x = 699.99
Ellie's weekly allowance is $80
Dylon decides to takes his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Dylon could take with him to the movies?
Create an inequality and solve.
6.25f + 16 (less than or equal to) 50
f (less than or equal to) 5.44
He can take a maximum of 5 friends to the movies.