The Number System
Write 22/3 as a repeated decimal.
7.3 (3 repeating)
Find the value of n
97/ 9n = 92
n = 5
Each set of ordered pairs (x,y) represents a relationship with input, x, and output, y. Which relationship is a function?
A - {(0,1),(0,2),(0,3)}
B - {(1,1),(2,2),(3,3)}
B
∠ 1 and ∠ 2 are supplementary.
If ∠ 1 = 110° what is the measurement for ∠ 2.
∠ 2 = 70°
A store records sales (in dollars) each year for three years. Which type of graph can best show how sales increase over the three years?
circle graph, stem-leaf plot, or line graph?
line graph
What is the cube root of -8
-2
What are the two solutions to
x2=36
x = 6
and
x = -6
Function B is y=2x+1
What is the slope of function B?
What is the y intercept of function B?
Slope = 2
y intercept = 1
or
the coordinates (0,1)
The sum S of the interior angle measures of a polygon with n sides is S = (n − 2) x 180°.
What is the sum S of the interior angles of a pentagon?
S = 540°
Fill in the missing values.
In a linear model for a biology experiment, a slope of 1.5 cm/hr shows the rate of growth for a plant. How much would the plant grow in 3 hours?
4.5 cm
Solve for t :
8t3 + 6 = 70
t = 2
A system of equations is shown:
x=10
3x+5y=20
In the system of equations, what is the value of y?
y = -2
The cost of admission for a student is $4 less than the cost of admission for an adult.
1) Write a function that relates the cost of admission for a student s with the cost of admission for an adult a.
2)What is the cost of admission for an adult when the cost of admission for a student is $2?
(Make sure to answer parts 1 and 2)
1) s = a - 4 or a = s + 4
2) $6.00
If one interior angle of a triangle is 63° and a second interior angle is 54°, what is the measurement of the third interior angle?
63°
Paul wrote the equation t=2m+40 to represent the temperature, t, in degrees Celsius, after a substance had been heated for m minutes.
Based on Paul's equation, how many minutes does the substance have to be heated to reach a temperature of 100 degrees Celsius?
30 minutes
A mechanic has a bolt with a diameter of 2/9 inch. Will the bolt fit into a hole with a diameter of
0.2 inch? Explain
No 2/9 = 0.2 (repeating) which is more than 0.2.
3/4 (x + 8) = 9
In the equation shown, what is the value of x that makes the equation true?
x = 4
Does the equation represent a linear or nonlinear function? Explain.
2y − 4x = 16
Linear because you can write the equation in slope intercept form.
∠ 1 and a 110° angle are corresponding angles formed by a transversal intersecting parallel lines. What is the measure of ∠ 1 .
∠ 1 = 110°
(Since they are corresponding they are congruent)
The equation shown is a model developed by a researcher, where x represents the height, in inches, of a 36-month-old boy, and y represents his maximum height, in inches, as an adult.
y=3.5x−60
A 36-month-old boy has a height of 36 inches. Based on the model, what is his expected height, in inches, as an adult?
66 inches
The length of the diagonal of a rectangle is √181 inches.
Between what two whole numbers is the length of the diagonal?
between 13 and 14 inches
The average distance from Earth to the Moon is approximately 384,400,000 meters. What is the average distance, in kilometers, from Earth to the Moon written in scientific notation?
3.844×105 kilometers
A system of equations is shown.
x + 1/2y = 0
x − 3/2y = 4
In the solution to this system of equations, what is the value of y?
y = -2
Use the pythagorean theorem: a2 + b2 = c2
to find the missing side a of a triangle with side b = 2.1 cm and side c = 2.9 cm
side a = 2cm
The average price of a movie ticket from 1960 to 1990 can be modeled by the equation y=0.12x+0.48, where y represents the average price, in dollars, and x represents the number of years since 1960.
What does the slope of the graph of the equation y=0.12x+0.48 represent?
The slope represents the increase in the average price of a movie ticket each year from 1960 to 1990.