Equations
Solve:
5x = 35
x=7
If the ratio of apples to oranges is 3:2 and there are 12 apples, how many oranges are there?
8 oranges
Find the area of a rectangle with length 7.5 cm and width 4.5 cm. (Use formula.)
a = 33.75 cm2
What is the mode of this data set:
{5, 2, 3, 1, 3, 4, 6}
3
6 sixth graders attended the dance to every 5 seventh grades attended the dance. If 120 seventh graders attended the dance, how many sixth graders attended the dace?
144 sixth graders
Solve: 3(x+4)=21
x = 3
Find the unit rate: 45 miles in 3 hours = ____ miles per hour.
15 mph
Find the volume of a right rectangular prism with dimensions 3 cm by 4 cm by 5 cm. (Use formula.)
60 cm3
What is the range of this data set?
{25, 74, 85, 36, 41, 57, 90}
65
A years rent cost is $9,804. What is the cost of rent each month?
$817 a month
Write an expression for “8 less than twice a number n,” then evaluate when n=7.
2n−8
n = 6
Solve: If 5 pencils cost $2, how much do 8 pencils cost at the same rate?
$3.20
A triangle has base 10 cm and height 6 cm. Find its area = 1/2 x b x h
a = 30 cm2
What is the mean of this data set?
{20, 25, 18, 19, 24, 32, 36, 22}
24.5
The Wilson family is travelling at a rate of 65 miles per hour. Write and solve an equation to see how many hours they have been travelling if they have gone 520 miles.
8 hours
Solve for x: x/4 + 3=10
x = 28
Use a proportion to find x: 2/3=x/12
x = 8
On the coordinate plane, what is the distance between points (−2, 4) and (−2, −1)?
distance = 5
What is the median of this data set?
{10, 12, 15, 18, 20, 21}
16.5
A pool is in the shape of a rectangular prism. It has a length of 18 feet, a width of 10 feet, and a height of 4 feet. You need to fill the pool with water. The cost per cubic foot of water is $0.75. What will it cost to fill the pool with water?
$540
The area of a rectangle is 360 cm. The length is 40 cm. What is the width?
w = 9
A recipe uses 2.5 cups of flour for every 4 cups of sugar. How much flour is needed for 10 cups of sugar?
16 cups
A flowerbed measures 5 ft wide and 7 feet long. There is a section in the flowerbed that has a fountain measuring 2.5 ft by 4 ft. How much area is available for flowers?
25 ft2
A teacher recorded the number of minutes students spent on homework:
12, 18, 15, 20, 15, 10, 25
What is the average of the data set?
16.4
The pet store is passes out prizes to its customers. Every 4th customer will receive a free dog toy and every 6th customer will receive a gift certificate.
Ben is the first customer to receive BOTH prizes. What number customer is he?
There are 100 customers today. How many customers received BOTH free gifts?
Ben: 12th
How many out of 100: 8