Be Rational
What is the value of the expression -9 x 2.2?
-19.8
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x ?
16
Solve for x:
3x+6 = 9
x= 1
Gabriel has these cans of soup in his kitchen cabinet.
• 2 cans of tomato soup
• 3 cans of chicken soup
• 2 cans of cheese soup
• 2 cans of potato soup
• 1 can of beef soup
Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?
1/25
The dimensions of a square pyramid are 9 meters for each side of the square. The height of the square pyramid is 7.5 meters. Find the Volume.
202.5
Marsha gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks cost the same amount. What is the cost in dollars and cents for each pair of socks?
$4.99
The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class. What is the total number of students in Ms. Cunningham’s class?
30 students
What is the solution to this equation?
30.16 = 17.56 + 5x
2.52
A bag contains:
• 5 red marbles
• 6 blue marbles
• 3 green marbles
• 4 black marbles
• 2 yellow marbles
A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
35
A circular tablecloth has a radius of 2.5 feet. Kyle is sewing a piece of ribbon around the edge of the tablecloth. If Kyle has exactly enough ribbon, which measurement is closest to the length of the piece of ribbon in feet?
15.7
José paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?
$11.75
The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these two towns?
75 miles
Lawrence’s father gave him 200 baseball cards. Each week, Lawrence purchases 25 baseball cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection?
25w + 200 > 750
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
Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combined volume of the two number cubes in cubic centimeters?
54
Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell’s collection are dated after 2000?
480
The price of a DVD is $24.00 plus 8% sales tax. What is the sales tax on this DVD in dollars and cents?
$1.92
Write an inequality for the situation below:
Felicia has 29 buttons in her collection. She will collect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons.
120 ≤ 12k + 29
On Roberto’s shelf are:
• 6 mystery books
• 5 science books
• 4 history books
• 3 adventure books
Roberto will randomly choose 1 book to read. What is the probability that he will choose an adventure book?
1/6
A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circular area of grass is 16 ft. Which measurement is closest to the area in square feet that this sprinkler sprays with water?
200.96
Stephanie has 3 3/4 bags of soil to put in her garden. Each bag of soil will cover 125.3 ft2. How many square feet will Stephanie be able to cover if she uses all these bags of soil?
469.875
An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet. What is the height of the scale model in inches?
18 inches
The sum of the measures of angle M and angle R is 90°.
• The measure of angle M is (5x + 10)°.
• The measure of angle R is 55°.
What is the value of x?
5
Jack tossed a coin three times. Write a tree diagram shows all the possible outcomes of the coin landing heads up or tails up?
H T
/ \ / \
H T H T
/ \ / \ / \ / \
H T H T H T H T
A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the circumference of the circle in meters?
69.08