System of Equations
y = 2x + 1
x + y = 4
(0,4)
75 is 20% of what number?
375
Is this a function?
(5,12) (12,-18) (3,7)
Yes
7z ≥ 8+6z
Z is greater or equal to 8
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=2.4 and b=7.3, what is c? If necessary, round to the nearest tenth.
7.7
3x + 2y = 10
x + 2y = 6
(0,3)
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 40 pizzas in all, 12 of which were mushroom pizzas. What percentage of the pizzas were mushroom pizzas?
30%
Braden knows how to sing 6 vocal pieces, thanks to his choir class. Now he's about to start private lessons. His teacher says he will learn 1 new piece each week.
Write a linear function to match the situation above.
y=x+6
–1.7(t + 5) + 4 = –6.2
1
Jaylen has $5 in a savings account that earns 5% interest per year. The interest is not compounded. How much will he have in total in 2 years?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
$55
21x+7y=42
-5x+5y=10
(1,3)
Jill's city took a telephone poll about a plan to build a new hotel downtown. Of the people who took the poll, 740 were in favor of the hotel and 260 were against it. What percentage of the people polled were in favor of the hotel?
74%
Riley plans to join a members-only speaker series for $50. As a member, she will pay just $12.50 for each event she attends.Write an equation that shows how the total cost, y, depends on the number of events Riley attends, x.
-4
Charlie is planning a trip to Madrid. He starts with $984.20 in his savings account and uses $381.80 to buy his plane ticket. Then, he transfers 1/4 of his remaining savings into his checking account so that he has some spending money for his trip. How much money is left in Charlie's savings account?
$451.80
9x=3y
9x+7y=-60
(-2,-6)
In Emma's grade, there are 75 students. Currently, 36% of them are enrolled in health. How many students are enrolled in health?
27 students
A florist is preparing for a wedding reception. He will need to use 12 roses to make a small bouquet for each round table. He will also need to use 36 roses for a huge centerpiece for the wedding party's long table.
Write an equation that matches.
y=12x +36
Solve.
2–5r≥–7–6r
r≥-9
Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold 3/10 of them so far. If each candy bar costs $1.25, how much money has Vincent raised?
$7.50
x+ y =27
2X+2y=27
no solutions
Zoe enjoys taking part in races and keeps track of all of her finishing times. At a race last month, she finished in 230 minutes. Yesterday, she completed another race and finished in 299 minutes. What is the increase in Zoe's finishing time?
30%
This equation shows how the number of flowers Eli can have in his garden is related to the number of seed packets he purchases.
f = 3s + 6
The variable s represents the number of seed packets he purchases, and the variable f represents the total number of flowers in the garden. With 4 seed packets, how many total flowers can Eli have in his garden?
18
m ≤ 4
Miss Gilliland has 2 dogs. You met one of the dogs on laker day. What is the name of her new puppy?
Summit