Rational Operations
Solve: 35 - (-110)
140
In a class, the ratio of twelve year olds to eleven year olds is 3:2. There are 10 eleven year olds. How many twelve year olds are in the class?
15
What value is equivalent to the expression: 5 - (62 + 10)
-41
Can the following side lengths make a triangle?
9, 20, 9
no
Find the range of the data set:
6, 4, 1, 7, 3, 19, 6, 12, 11, 5
18
Solve: 2 + (-4) + (-1) + 1
-2
A weather station reported 1.5 inches of snow. Write a fraction that is equivalent to 1.5.
3/2 or 1 1/2
Write an equivalent expression using the distributive property:
2(3x - 4)
6x - 8
In triangle QRT, angle Q measures 80 and angle T measures 35. What is the measure of angle R?
65
What is the median of the data set?
6, 4, 1, 7, 3, 19, 6, 12, 11, 5
6
The cost of 1 pound of cheese is $5.50. What is the cost of 1.5 pounds of cheese?
8.25
A store sells items to 5 out of every 12 people who enter the store. What percentage is equivalent to 5 out of 12?
41.6%
Write an expression equivalent to:
(3p -2) * 7
21p - 14
What is the area of a triangle with a base of 11.5 and a height of 8?
46
What is the mean of the data set:
8, 3, 1, 6, 5
4.6
A baker has 18 pounds of sugar to use. If each cake she makes uses 1/3 of a pound of sugar, how many cakes can she make?
54
Kate buys 45 pounds of potting soil for her garden. Of the soil, 20% is organic and 80% is not organic. How many pounds of soil are organic?
9 pounds.
Solve:
12x - 4x = 40
x = 5
What is the volume of a rectangular prism with a base of 15 cm, and length of 10 cm, and a height of 2 cm?
300
What is the mean of the data set?
4.1, 3.5, 3.7, 4.2
3.875
A teacher divided 31.5 pieces of pizza equally among all students in the class. If each student got exactly 1.5 pieces of pizza, how many students are in the class.
21
How many cups are in 1.5 gallons?
24
Solve:
-9w > 108
w < -12
What is the area of a trapezoid with bases of 14 and 7 and a height of 12?
126
What is the interquartile range of the data set?
18, 18, 19, 22, 25, 26, 26, 29, 31, 33, 40
12