Expressions and Equations
In the following expression, what is the coefficient, variable, and constant?
3x2+5
Coefficient - 3
Variable - x
Constant - 5
Jacob has 3 1/2 feet of yarn. He wants to cut the yarn into 1/4 pieces to make an art project. How many pieces of yarn will he have?
14 pieces
(Divide 3 1/2 by 1/4)
There are 10 white cows on a farm and 15 brown cows. What is the ratio of white cows to total cows on the farm?
10 to 25 or 10:25 or 10/25
(For the total, remember you have to ADD 10+15)
Give the vocabulary word for the following definition:
a 2-D image that can be folded into a 3-D shape
What is a net?
Which of the following is a statistical question?
a. Who was the first president of the United States?
b. What is the average height of all the students in your social studies class?
c. Are you hungry?
d. What year was the Declaration of Independence signed?
B - What is the average height of all the students in your social studies class?
The other questions have no variability or are personal questions only about you.
Translate the following expression:
three less than the sum of 5 and x
(5+x) - 3
(If there is no parenthesis in your answer, it is WRONG! Remember than is a switch word!)
Evaluate the following:
1,235 / 102
12.35
1,235 / 102 = 1,235 / 100 = 12.35
Savannah can type 80 words per minute. At this rate, how many words could she type in 2 hours?
9,600 words
You need to convert hours to minutes, so 2 hours x 60 minutes = 120 minutes.
Multiply the unit rate (80) times the number of minutes (120) to get 9,600 words.
Find the area of a triangle with a base of 8 in and a height of 12 in.
48 in2
A = bh/2
A = (8)(12)/2
A = 96/2
A = 48 in2
What percent is represented by each portion of a box and whisker plot?
25%
Evaluate the following expression:
42 + 53
141
42 + 53 = 16 + 125 = 141
Jenny went to the store to buy strawberries for a muffin recipe. Strawberries are $2.49 per pound. Jenny buys 3.25 pounds. How much did she pay for the strawberries?
$8.09
2.49 x 3.25 = $8.09
(Answer should be rounded to the nearest hundredth because it is MONEY!)
Which of the following expressions is equivalent to 48 + 36?
2(12 + 18)
4(12 + 2)
12(4 + 3)
12(4 + 3)
DISTRIBUTIVE PROPERTY!
Find the surface area of a cube that has edge lengths of 6 cm.
216 cm2
First, find the area of one face (6x6=36 cm2), then multiply by 6 because a cube has 6 square faces.
36x6=216 cm2
In a set of data, how do I find the mean?
Add up all the numbers in a set of data and divide by how many numbers you have in the set of data.
Give me the vocabulary word that matches this definition - pairs of mathematical operations in which one operation undoes the action of the other.
What is an inverse operation?
William goes to the movies with his friend. His ticket is $7.00, his popcorn is $5.50, and his drink is $3.75. He pays the cashier with a $20 bill. How much change will he receive?
$3.75
You add up the cost of all the items he bought (7.00+5.50+3.75 = 16.25) then subtract the answer from 20.
Students at a school go on a field trip. Of the 400 students in the school, only 80% of the students go on the field trip. How many students went on the trip?
320 students
Percent Proportion (part/whole = %/100)
A rectangle has the following vertices: R (1, 2), S (1, 5), T (5, 1), and U (5, 5). What is the area of the rectangle?
12 square units
Plot the points, connect to make a rectangle, find the base and height, multiply.
The following test scores were recorded by a set of students in Mr. Hall's math class:
55, 74, 81, 88, 89, 91, 97, 99
What is the MEDIAN score and what is the RANGE of the scores?
Median = 88.5 (You ended up with 88 and 89 in the middle, add them together and divide by 2)
Range = 44 (99 - 55)
Write an expression that matches the following situation:
Max earns $8 per hour (use x to represent hours he works) plus a $100 flat rate every month.
8x + 100
Evaluate the expression
x2 + 4x - 1
when x = 1/2.
1 1/4 or 1.25
(1/2)2 + 4(1/2) - 1
1/4 + 2 - 1
2 1/4 - 1 = 1 1/4 or 1.25
Jackie finished 10 of her 25 math problems for homework. Harry finished the same percent of problems as Jackie, but his teacher assigned him 15 problems. How many problems has Harry finished?
6 problems
First, figure out what percent of problems Jackie finished (40%). Then calculate 40% of 15 problems to figure out how many Harry finished.
What is the volume of a rectangular prism with a base of 3.5 cm, a height of 6 cm, and a width of 4.8 cm?
100.8 cm3
V = length x width x height
The following test scores were recorded by a set of students in Mr. Hall's math class:
55, 74, 81, 88, 89, 91, 97, 99
Find the 5 Number Summary needed to make a box and whisker plot.
Minimum - 55
Q1 - 77.5
Median - 88.5
Q3 - 94
Maximum - 99