Equations
Which inverse operations would you use to solve the equation
m/5-3=-6
addition first, then multiplication
Graph x > 27 on a number line.
Open circle at 27 shaded to the right.
Mia ordered five DVDs, all at the same price from an online retailer. There was a shipping charge of $15.50 for the complete order but no sales tax. If Mia's total charge for her order was $60.50, write an equation which represents her order.
5x + 15.50 = 60.50
Kate is having a dinner party. Currently, she has enough seating for 20 people. She needs to seat at least 130 people. She finds a rental company that rents tables that seat 8 people at each table. Write an inequality which represents this situation.
20 + 8x < 130
x < 13.75
James is saving $60 a week. He earned an extra $75 by mowing his neighbor's lawn. How many weeks will he need to order to have at least $425?
What is
x>=6
Given the following equation -4(2 + x) = 28, solve for x.
x = -9
Find the following solution and graph it:
3x + 1 > -2
Teacher will check answer
A company ordered 650 coffee mugs. Each customer received 5 mugs. There are 105 coffee mugs left. How many customers did they give coffee mugs to?
650 - 5x = 105
x = 109
Adrian works in New York City and makes $42 per hour. She works in an office and must get her suit dry cleaned everyday for $75. If she wants to make more than $260 a day, at least how many hours must she work?
42x - 75 > 260
about 8
For a field trip 22 students rode in cars and the rest filled 6 buses. How many students were in each bus if no more than 300 students went on the trip?
What is
x<=47
The longest side of a triangle is six more units than the shortest side. The third side is twice the length of the shortest side. If the perimeter of the triangle is 22 unites, write and solve an equation to find the lengths of all three sides of the triangle.
6 + x + x + 2x = 22
x = 4
first side: 4
second side: 8
third side: 10
What is the solution for the inequality -2(6x - 4) < -60?
x > 5.67
Kelly spent half her allowance on a new pair of jeans. She then earned $24 babysitting and ended the week with $38.50. How much was her allowance?
1/2x+24=38.50
x=$29.00
Your brother has $2, 000 saved for a vacation. His airplane ticket is $637. Write and solve an inequality to find out how much he can spend for everything else.
637 + x < 2000
x < $1,363
Cathy rented an electric bike from Marshalls Bike Shop. They charged her $3.00 per hour plus a $25.00 fee. Cathy could spend no more than $40.00
What is
x<=5
John has 12 more than five times as many stamps as Roger. John has 72 stamps. Write an equation you can use to solve this problem.
5x + 12 = 72
Solve 40x - 13 < -33
x<-1/2
At the zoo, there are 3 fewer ferrets than twice the number of tigers. If there are 21 ferrets, what's an equation for the number of tigers at the zoo?
2x - 3 = 21
x = 12
The cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $15?
3.50x < 15
x < 3
Matty won 45 candy bars in a contest. She gave 3 to each of her friends in her class. She has at least 7 left. What is the maximum number of friends she has?
What is
x<= 12
3x - 2.6 = x + 8.2
5.4
Solve 4x - 7 < -23
x < -4
Rachel ordered early learning software for her daughter from an online retailer. Each item costs $9.50, and there is a shipping fee of $8 for the entire order. Her order total was $46.00:
a) Write an equation to describe this situation. Let x represent the number of software items ordered. b) Solve the equation you wrote in Part a. Explain or show your work.
y = 4
The sum of twice a number and 5 is at most 15. What are the possible values for the number?
2x + 5 < 15
x < 5
Jason rents paddle boats for $28 plus $18 per hour. You do not want to spend more than $82. How many hours on a paddle boat can Jason rent?
What is
x<=3