Inequalities
Solve 3x + 3 ≥ -12
x ≥ -5
A triangle has how many degrees?
180 degrees
Solve the following Equation:
6x-4=8
x=2
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
7x+10=24
x=$2
How do we start our problems when solving Equations?
Draw a line , box in your variable
Solve: 8-2x<18
x>-5
A loan of $500 is taken out at an interest rate of 8% per year. How much interest will be paid after 3 years?
I=120
Solve: 6 + 1/2x = 26
x=40
Model out in your whiteboard and solve:
-2x-2=10
Two red x , 2 negatives= 10 positives
x=-6
A triangle has angles measuring 45° and 55°. Write an equation to find the measure of the missing angle. Then solve for it.
x+45+55=180
x=80
Write an inequality: Sam buys t tacos for $2 each and spends more than $10. Use "t" to represent tacos
Answer: 2t > 10
Maria deposits $200 in a savings account that earns 5% simple interest per year. How much interest will she earn in 2 years?
I=20
Joseph goes to an event where costs a fee of $5 and the hourly cost is $2 per hour. If Joseph paid $21. How long did he stay? Write an equation to show the following situation use "h" to show hours.
5 + 2h = 21
An angle measures 70 degrees. Find its complement
x=20
Sofia deposits $400 into a savings account that pays 3% simple interest per year. How much interest will she earn after 4 years?
I=48
William says 6 is a solution to 2x - 3 ≤ 9. Is he correct?
Answer: Yes, 6 works.
Triangle with 54.6° and 17.8°. Write equation for third angle.
Answer: 17.8 + 54.6 + x = 180
Sara earns $12 per hour at her job She currently has $96 and really wants to buy a laptop for $240. How many hours would she have to work to buy her laptop? Write an equation and solve the following scenario.
12x+96=240
x=12
A triangle has three sides: Side A=10x , Side B=5x
and Side 3=90. Find the Missing Value for x?
x=6
A movie theater charges $8 per ticket plus a $5 service fee. Caleb spend $37 in total. Find how much did each t ticket cost.
Write and solve your Equation
8t+5=37
t=4
Joseph earns $10 per hour and currently has 100 dollars. He needs a minimum of $400 a month to pay for his car bill . Write & solve inequality to find out how many hours joseph has to work.
10x+100≥400
x≥30
Elena wants her money to earn $180 in interest after 3 years at 6% simple interest per year. How much money (principal) does she need to invest?
(work backwards)
1000
Solve for X
2x-16=8
x=12
Yellow Cab Taxi charges a $3.50 flat rate in addition to $0.65 per mile. Katie has no more than $10.00 to spend on a ride.
0.65m + 3.50 ≤ 10.00
m≤ 10
Mia bought a $10 ticket to the carnival. A carnival ride costs $2 per ride. Mia has at most $20 to spend. Write/Solve an inequality to represent the number of rides r she can go on.
10 + 2r ≤ 20
r≤ 5