Expressions and Equations
A bowling alley charges x dollars per guest and a fixed $50 rental fee for parties. Write an equation that represents the total cost, y, for 9 guests.
y= 9x + 50
Micah has a garden. She constructs a scale model of the garden using the scale 1 inch : 2 feet. The garden has a length of 6 feet. What is the length of the garden in Micah's model?
3 inches
A catering company charges $8.25 for each boxed lunch ordered by a customer. Create an equation to show the total amount, c, in dollars, charged to the customer for b, boxed lunches.
C = 8.25b
There are 30 students in Pete's math class. The teacher randomly selects students one at a time to go to the board to complete a problem. The teacher selects each student once. Pete is not selected for the first 5 problems. What is the probability that Pete is selected to go to the board next?
1/25
-5 - (-5) + 2 - 10
What is the value of the expression?
-8
The perimeter of a regular 6-sided figure is 30 units, and the length of each side is x+1 units. What is the value of x?
x = 4
An architect makes a scale drawing of a building. She uses the scale shown.
1 centimeter = 3 meters
The length of the building in the drawing is 11 centimeters. What is the actual length, in meters, of the building?
33 meters
Fill in the blanks to complete the statement defining a proportional relationship.
A proportional relationship can be represented by the graph of a _______________ that passes through ________________.
A proportional relationship can be represented by the graph of a line that passes through the origin.
Deb's teacher divides her class of 20 students into 4 equally sized teams: the red team, the yellow team, the green team, and the blue team. She assigns each student to a team. What is the probability that Deb is on the red team?
1/4
A diver is at an elevation of -23 feet from sea level. He descends another 25 feet. How many feet does the diver need to ascend to reach sea level?
48 feet
Keith purchases a cell phone plan, which includes a cell phone and cell phone service. He makes a deposit of $100 for the cell phone and then pays $45 per month for the cell phone service. Write an equation to model how much money, in dollars, Keith spends after one year (12 months).
y = 45x + 100.
y=$640.00
The radius of a circle is 20 centimeters. What is the circumference, in centimeters, of the circle? Round your answer to the nearest tenth.
125.7 centimeters
Kate's family spends $385 to rent a boat for 7 days. The total cost, c, of the boat rental is proportional to the number of days, d, the family rents the boat. How much does it cost, in dollars, to rent the boat for one day?
$77.00
The 25 students in Laura's class have a choice of three extracurricular activities. Of the total number of students, 8 choose soccer, 6 choose math club, and the rest choose chorus. What is the probability that Laura chooses chorus?
11/25
The temperature yesterday in Medina, Ohio was -6 degrees fahrenheit. The temperature today in Medina is 6 degrees warmer. What is the temperature today?
0 Degrees Fahrenheit.
Draw a line graph to represent the solution set of the inequality 3x + 9 > 27.
On a number line, an open circle should be placed on the digit 6. The arrow should point to the right, as all numbers greater than 6 are in the solution set.
Joanna draws a scale model of rectangular table for a carpenter to build. On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?
10 feet
A grocery store sells an 8-ounce bottle of juice for $1.76. What is the cost of the juice per ounce?
$ 0.22
A factory produces 80,000 candies each day. They produce equal quantities of four flavors: cherry, lemon, orange and strawberry. The candies are mixed together during packaging. What is the probability that a randomly selected candy is orange?
1/4
What is the product of -1 and -8?
8
Jeremy places an order for 200 headsets from a supplier for his store. The cost of each headset is $44.50. Jeremy pays 25% of the total amount at the time of placing the order. He needs to pay the remaining amount at the time of the delivery. What amount does Jeremy need to pay at the time of delivery?
$6,675
A straight line is broken into three angles. The measure of angle y is 43 degrees, the measure of angle z is 92.7 degrees. What is the value, in degrees, of x?
44.3 degrees
A dance studio offers ballet and hip-hop classes. The studio has 8 ballet classes for every 12 hip-hop classes. How many hip-hop classes are there for each ballet class?
1.5 hip hop classes
Jenna has a bag filled with coins. The bag contains 7 quarters, 8 dimes, 3 nickels, and 9 pennies. She randomly chooses a coin from the bag. What is the probability that Jenna chooses a quarter or a nickel?
10/27
Write a decimal that is equivalent to 8/11.
0.72 repeated.