Equations
Sally spent last weekend signing 943 people up to volunteer. If the goal was to sign up 775 people to volunteer, by how much did Sally exceed her goal? Select the equations that could be used to find the number of volunteers n that exceeded her goal. Select all that apply.
Multiple select question.
A. π β775 =943
B. 943 βπ =775
C. π β943 =775
D. 943 β775 =π
E. 775 βπ =943
B and D
At a sporting goods store, Brianna purchases two packages of tennis balls for $14.56. Each package contains 4 tennis balls.
Using the Division Property of Equality, the cost of one tennis ball is $___ . The cost of 24 tennis balls would be___ $
$1.82 and $43.68
To qualify for the championship, a runner must complete the race in at most 40 minutes. Use T to represent the time (in minutes) of a runner who qualifies for the championship. Write an inequality to represent this situation.
t β€40
There are 845 folding seats in the auditorium, 413 of which are blue, and the rest are red. What equation could be used to find the number of red chairs, r?
845 - r = 413
Solve the equation 102 =39 +π
d = 63
Solve the equation 10135 =π +3345for π.
67.8 or 67 and 4/5
Mr. Auckerman spent $50 to purchase graduation pins for his students. Each pin cost $2.40. The inequality 50 β₯2.40β’π , where s is the number of students, represents the situation. The maximum number of students who could receive a pin is ___
20
No more than 36 children can safely ride on the bus to go on the field trip. Write an inequality that represents the number of children c who can safely ride on the bus?
c β€ 36
A group of musicians earned $113.75 in tips for an afternoon of playing. This was $27.85 more than the week before. Write a subtraction equation that could be used to find the amount in tips t earned last week.
113.75 - t =27.85
Terrance earned 914 points on his last math quiz. Altogether, Terrance and Diego earned 1634 points. Using the equation π +914 =16 34, what is the value of p, the number of points that Diego earned on his quiz?
π = __
p = 7.5
Monica installed 1423 boxes of tile. Altogether, she and Sonia installed 2612 boxes of tile. Using the equation π‘ +1423 =2612, what is the value of π‘, the number of boxes of tile that Sonia installed?
11 and 5/6
Sameer would like to spend $25 for each birthday present he buys, with a limit of $350 for the year. The inequality 350 β₯25β’π, where g is the number of gifts, represents the situation. The greatest number of gifts that Sameer can purchase is ___
14
Determine whether 622, 623, 624, or 625 is a solution of the inequality π₯ Γ·52 β₯12. List the possible solutions.
624 and 625
Kirby and Nina saved $775.80 to take a trip to Niagara Falls. If the trip costs $625.50, how much money will Kirby and Nina have left after paying for the trip? Write an equation to find m the amount of money left after paying the trip.
t - 625.50 = 775.80
Solve 4/5β’π₯ =1/5 for π₯.
x = 1/2
What is the solution of the equation 2/3β’π‘ =8/9?
t = 4/3
A group of friends spent $110.80 at a Thai restaurant. Each friend contributed $22.16 toward the bill. What multiplication equation can be used to find the number of friends f who ate together?
22.16f = 110.80
A team set aside $125 to purchase trophies for the team. The cost of each trophy is $3.75. Use the inequality 125 β₯3.75β’π, where π is the number of players who will receive trophies. How many players could possibly receive a trophy? Select all that apply.
A. 35 players
B. 34 players
C. 33 players
D. 32 players
E. 31 players
C, D, and E
Natalie worked 96 hours in August. If she worked 6 hours per shift, write an equation that can be used to find the number of shifts s that Natalie worked?
96/s = 6
Solve the equation π‘ Γ·8 =14 for π‘.
t = 2
Solve the equation π₯/9 =256 for π₯.
2304
There are 15 dozen students attending a school field day. The students are arranged into groups of 3 for a relay race. What equation can be used to find π, the number of groups of students competing in the relay race? (Hint: 1 dozen = 12 students)
180 and 3 3g=180
Vic plans to spend $135 reserving court time for racquetball. Each hour costs $10.50. The inequality 135 β₯10.50β’β, where β is the number of hours, represents the situation.
The greatest number of hours that Vic can reserve a court for racquetball is ___
12
A garden store sells herbs for $2.49. Over the weekend, the store earned $179.28 in herb sales. Write a multiplication equation to find how many herbs, h, were sold over the weekend?
2.49h = 179.28
Missy and Zeke are hanging 11.5 inch wide picture frames along a 103.5 inch wall space. Solve the equation 11.5π =103.5 to find f, the number of frames that they can fit along the wall.
9