Rational Number Representations and Operations
What is the value of the expression -9x2.2?
-19.8
Natasha has a job putting letters in envelopes to be mailed. In 1 hour she put 42 letters in envelopes. Which equation best represents y, the total number of letters Natasha puts in envelopes in x hours if she continues at this rate?
A) x=y+42
B) y=x+42
C) x=42y
D) y=42x
D) y=42x
Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow?
2/5
What is the solution to this equation?
2x+10=28
9
The length of a ruler is 12 inches. There are approximately 25.4 millimeters in 1 inch. Which measurement is closest to the length of the ruler in millimeters?
304.8 mm
What is the value of the expression 26.95÷-5 1/2?
-4.9
Hector paid $105 for 6 tickets to a hockey game. Each ticket cost the same amount. What was the cost of each ticket in dollars and cents?
$17.50
At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, if 700 students were at the assembly, how many students could be expected to be carrying a backpack?
490
What is the value of x in this equation?
2x+2=-52
-27
Chris bought 10.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chris bought?
39.52 L
Divide: 1/4 ÷ 19/12
3/19
A worker uses 450 inches of steel wire to make 300 springs of the same size. At this rate how many inches of steel wire are needed to make 1 spring?
1 1/2 in
A survey showed that 8 out of 20 homeowners in a neighborhood had cable television. If there were 320 homeowners in the neighborhood, how many could be expected to have cable television?
128
What is the solution set for the inequality 4-5g>39?
g<-7
An engineer created a scale drawing of a building using a scale in which 0.25 inch represents 2 feet. The length of the actual building is 250 feet. What is the length in inches of the building in the scale drawing?
31.25
Multiply: 0.707 x 0.97
0.68579
The cost of 3 pounds of grapes is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x?
2.19
A bag contains flavored lollipops. A lollipop will be randomly selected from the bag.
-17 lollipops are grape flavored
-8 lollipops are cherry flavored
-14 lollipops are watermelon flavored
-16 lollipops are strawberry flavored
What is the probability in decimal form that the selected lollipop will be either cherry flavored or watermelon flavored?
0.4
What is the solution set for this inequality?
-8x+40>-16
x<7
The dimensions of a rectangular prism are 1.5 feet by 3.5 feet by 2 feet. What is the volume of the rectangular prism in cubic feet?
10.5 ft3
One year on Venus is equivalent to 224.7 days on Earth. How many days on Earth, in decimal form, are equivalent to 9 1/2 years on Venus?
2134.65
A recipe for fruit salad includes 1/3 cup of grapes for 4 servings. How many cups of grapes are needed for 30 servings of this fruit salad?
2 1/2 cups
A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back?
1,120
-4x-10<2
x>-3
A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base of the speaker is 11 square inches. What is the volume of the speaker in cubic inches?
22 in3
This week Andres will practice with his band for 1 1/2 hours on Monday, 1 3/4 on Tuesday, and 2 hours on Wednesday. Next week Andres will practice with his band for the same number of hours on Monday, Tuesday, and Wednesday. What is the total number of hours Andres will practice with his band over these 6 days?
The owner of a bookstore buys used books from customers for $1.50 each. The owner then resells the used books for 400% of the amount he paid for them. What is the price of a used book in this bookstore?
$6
Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a penny?
1/24
30.16=17.56+5x
2.52
The diameter of circle X is 15 centimeters. The diameter of circle Y is 20 centimeters. Which measurement is closest to the difference between the circumference of circle X and the circumference of circle Y in centimeters?
15.7 cm
Chad will have new carpet put on the rectangular floors of two rooms in his house. One floor is 12 1/2 feet long, and the other floor is 15 3/4 feet long. Each floor has a width of 10 feet. What is the total area in square feet of the new carpet?
282.5 ft2
Perry traveled at an average speed of 55 miles per hour for 3.5 hours and then traveled at an average speed of 60 miles per hour for 2.5 hours. What was the total distance in miles that Perry traveled during this time?
342.5 miles
Rachel is setting up tables for a party. Four of the tables are covered with red tablecloths, and eight of the tables are covered with white tablecloths. Guests will be randomly seated at the tables when they arrive. Each table can seat 8 guests. What is the probability that the first guest to arrive will be seated at a table with a red tablecloth?
1/3
Which equation is true when c=3?
A) 2c+8=31
B) 5(7-c)=32
C) 9-6c=0
D) 4(c+2)=20
D) 4(c+2)=20
A storage container is shaped like a rectangular prism. The volume of the container is 1,360 cubic feet. The area of the base of the container is 160 square feet. What is the height of the container in feet?
8.5 ft