Heart of Algebra
If a/b = 2, what is the value of 4b/a?
What is 2?
What is the sum of the solutions to (x-8)(x+0.4) = 0?
What is 7.6?
If y = kx, where k is a constant, and y = 24 when x = 6, what is the value of y when x = 5 ?
What is 20?
what is the sum (7 + 3i) + (−8 + 9i) ?
What is -1+12i?
If (x− 1)/3=k and k = 3, what is the value of x ?
What is 10?
A line in the xy-plane passes through the origin and has a slope of 1/7. Which of the following points lies on the line? A) (0, 7) B) (1, 7) C) (7, 7) D) (14, 2)
What is D?
Jerry buys a used car for $4,200. The car depreciates in value at a constant rate for 5 years, after which it is considered to have no monetary value. How much is the car worth 3 years after it purchased?
A)840 B)1,680 C)2,250 D)3,780
What is B?
How many passages are on the Reading section of the SAT?
What is 5?
Who won the First NFL Superbowl?
Who are the Green Bay Packers?
On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. Which of the following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon?
What is 5m+4p?
The posted weight limit for a covered wooden bridge in Pennsylvania is 6000 pounds. A delivery truck that is carrying x identical boxes each weighing 14 pounds will pass over the bridge. If the combined weight of the empty delivery truck and its driver is 4500 pounds, what is the maximum possible value for x that will keep the combined weight of the truck, driver, and boxes below the bridge’s posted weight limit
What is 107?
y>5x-2
5x>3
Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?
A)y>1 B)y>5 C)y>1/6 D) y>3/5
What is A?
What is Florida's state bird?
What is the Northern Mockingbird?
h = 3a + 28.6 A pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy’s age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy’s height each year?
When is the PSAT?
What is October 18th?
Wyatt can husk at least 12 dozen ears of corn per hour and at most 18 dozen ears of corn per hour. Based on this information, what is a possible amount of time, in hours, that it could take Wyatt to husk 72 dozen ears of corn?
What is any number between 4-6 inclusive?
In County A, Ms. Smith's neighborhood consisting of 18 families was surveyed and 22.1 percent of families reported they owned a dog. The average neighborhood size in the county is 18 families. If the families living in Ms. Smith's neighborhood are representative of families in the county's neighborhoods and there are 120 neighborhoods in the county, which of the following best estimates the number of families in the county who do not own a dog?
What is 1,680?
A local television station sells time slots for programs in 30-minute intervals. If the station operates 24 hours per day, every day of the week, what is the total number of 30-minute time slots the station can sell for Tuesday and Wednesday?
What is 96?
A dairy farmer uses a storage silo that is in the shape of the right circular cylinder with height 8. If the volume of the silo is 72π cubic yards, what is the diameter of the base of the cylinder, in yards?
(Note: V=pi*R^2*h)
What is 6?
Who was the first Disney Princess?
Who is Snow White?
y<-x+a, y>x+b In the xy-plane, if (0, 0) is a solution to the system of inequalities above, which of the following relationships between a and b must be true?
What is a>b
What is the sum of the complex numbers 3+4i and 2+6i, where i = square root of -1?
A)15 B)15i C)5+10i D)6+24i
What is C?
If 3x − y = 12, what is the value of 8^x/2^y?
a) 2^12 b) 4^4 c) 8^2 d) It cannot be determined from information given.
What is A?
Who is Croatia?
g(x) = ax^2 + 24 For the function g defined above, a is a constant and g(4) = 8. What is the value of g(−4) ?
What is 8?