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Final
100
Shawn needs $161.50 for Flyers tickets for his brother and himself. He makes $14.50 and hour working for a drywall company, and currently has $42 put away. If he also wants to have At Least $40 for food. how many hours does Shawn need to work before he can have enough money? Write and equation or inequality and solve.
14.50x+42>=161.50+40
or
149.75x+42>=201.50
Solved:
x>=11
Shawn needs to work at least 11 hours to afford everything.
100
x-2=14
x=16
100
x+4=51
x=47
100
Michelle wants to invest in the stock market. she wants to buy Coca-Cola stock for $58.25 a share. She only has $3,500 to invest. Write and solve and graph an inequality to represent this situation.
58.25x<=3500
x<=60
100
Graph:
5 > 1/4x-3
200
2.1x=14.7
x=7
200
Drew wants to buy a new Tesla to save the environment. He has no money put away in his savings account, and still owes $15,450 on his old Jeep. If a new Tesla cost $72,550, and he makes payments of $1,100 a month, write and solve a equation to find out how long in years he will need to pay off the car and debt.
-72550=-1100x-15450
x=80
6 years and 8 months.
200
Translate, Solve, and Graph:
Taylor is buying shares of stock that cost $8 each. How many shares can he buy if can spend no more than $250?
8x<=250
x<=31.25 or x<=31 1/4
x<=31 shares
200
Solve and Graph:
3/4x>27
x>36
200
1/5x+3.5=45/6
x=20
300
Solve:
-8(1/2x+2)=-32
x=4
300
Solve and Graph:
3x+5<=38
x<=11
300
What is a reciprocal? Give an example.
A reciprocal is the multiplicative inverse of a number. Where you switch the numerator and denominator.
Example:
A/B " Becomes " B/A
300
Solve and Graph:
15<=x/5
75<=x
300
On a road trip from Alaska to Pennsylvania Mr. O'Toole, His Fiance, and Rocky want to get back in at most 2 weeks. If the trip is 5250 miles how many miles would they need to drive each day to stay on schedule? Write and solve and equation or inequality for this situation. Explain
14x>=5250
x>=375
They must drive at least 375 miles every day to stay on schedule.
400
Solve and Graph:
4+x<=10
x<=6
400
Jimmy is playing Darts. To win he needs to score 501 points and double out, meaning he must hit the times 2 ring of a number 1-20. if he has already scored 477 points, and has 1 dart left. Where should he aim to win? Write and solve an equation to represent this situation.
2x+477=501
x=12
He should aim for the times 2, 12 ring
400
Translate and Graph:
A number is at most 14
x<=14
400
Ian and his 5 friends all buy tickets to the motocross event. While there they all buy souvenir shirts for 27.50. if in total the group spent $282. How much were tickets to the event?
6(x+27.50)=282 ; x=19.5
$19.50 per ticket
400
x-1 3/8=4 1/2
x=5 7/8
500
Benjamin is practicing wrist shots for his upcoming hockey game. He has access to the rink for 1 hour. If he starts by warming up for 15 minutes, and wants to take at least 135 shots before his time is over. Write and solve an inequality to represent how many shots he needs to take per minute to reach his goal. Explain.
(60-15)x>=135
x>=3
Benjamin needs to take at least 3 shots per minute to take at least 135 shots before his time is up..
500
Solve and Graph:
x-3.2>13
x>16.2
500
Karen wants to ride her bike at least 24 miles a week (Sunday to Saturday). If it is Wednesday morning, and she has already biked 6 miles this week, How much does she need to ride each remaining day to stay on pace? Write and solve and inequality for this situation. Explain
4x+6>=24
x>=4.5
She must bike at least 4 and a half miles every day to meet her goal.
500
Graph:
0<=x
500
Johnny wants to buy a New PS5 and games for himself. He currently has $750. If a PS5 cost $599.50 and games cost $49.99. Write and solve an inequality to represent how many games Johnny can buy. Explain
599.50+49.99x<=750
x<=3
Johnny can buy 3 games
500
Kathleen has money to spend over the next 3 days on her trip. She has already spent $77.25 on the first 2 days. If she spends exactly $44.25 each remaining day she will have no money left. How much money did she bring on her trip? Write and solve and equation to represent this situation.
(x-77.25)/3=44.25
x=210
She brought $210