Exponents
What is the degree of the polynomial
5x - 3x2 - 1 + 7x3 ?
What is three?
The zeros of the function f(x) = x(x - 5)(3x + 6) are?
What are 0, 5, and 2
The expression (-x2 + 3x - 7) - (4x2 + 5x - 2) is equivalent to
What is -5x2 - 2x - 5?
The solution to 2/3 (3 - 2x) = 3/4 is
What is 15/16?
The Speedy Jet Ski Rental Company charges an insurance fee and an hourly rental rate. The total cost is modeled by the function R(x) = 30 + 40x. Based on this model, which statements are true?
I. R(x) represents the total cost.
II. x is the number of hours rented.
III. $40 is the insurance fee.
IV. $30 is the hourly rental rate.
What are 1 and 2?
What is the degree of the polynomial 2x - x2 + 4x3?
What is three?
If f(x) = x2, which function is the result of shifting f(x) 3 units left and 2 units down?
What is j(x) = (x + 3)2 - 2?
The product of (x2 + 3x + 9) and (x - 3) is
What is x3 - 27?
What is the solution to the inequality
2x - 7 > 2.5x + 3?
What is x < -20?
Two texting plans are advertised. Plan A has a monthly fee of $15 with a charge of $0.08 per text. Plan B has a monthly fee of $3 with a charge of $0.12 per text. If t represents the number of text messages in a month, which inequality should be used to show that the cost of Plan A is less than the cost of Plan B?
What is 15 + 0.08t < 3 + 0.12t?
Which situation represents exponential growth?
(1) Aidan adds $10 to a jar each week.
(2) A pine tree grows 1.5 feet per year.
(3) Ella earns $20 per hour babysitting.
(4) The number of people majoring in computer science doubles every 5 years.
What is answer choice 4?
What is the range of the function f(x) = (x - 4)2 + 1?
What is f(x) greater than or equal to 1?
When factored completely, -x3 + 10x2 + 24x is
What is -x(x - 12)(x+2)?
The solution to 4(x - 5)/3 + 2 = 14 is
What is x = 14?
A tour bus can seat, at most, 48 passengers. An adult ticket costs $18 and a child ticket costs $12. The bus company must collect at least $650 to make a profit. If a represents the number of adult tickets sold and c represents the number of child tickets sold, which system of inequalities models this situation if they make a profit?
What is
a + c less than or equal to 48
18a + 12c greater than or equal to $650
Which equation is always true?
(1) x2 • x3 = x5 (2) 3x • 32 = 92x
(3) -z2 = z2 (4) 7a • 7b = 7ab
What is answer choice 1?
If f(x) = x2 + 2x + 1 and g(x) = 3x + 5, then what is the value of f(1) - g(3)?
What is -10?
The expression -2(x2 - 2x + 1) + (3x2 + 3x - 5) is equivalent to
What is x2 + 7x - 7?
When solved for x in terms of a, the solution to the equation 3x - 7 = ax + 5 is
What is x = 12/(3-a)?
On an island, a rare breed of rabbit doubled its population each month for two years. Which type of function best models the increase in population at the end of two years?
What is exponential growth?
Three expressions are written below.
A. (2xy2)3
B. (2x)3 y6
C. (2x2y2)(4xy3)
Which expressions are equivalent to 8x3y6?
What are A and B
If f(x) = 2x + 6 and g(x) = |x| are graphed on the same coordinate plane, for which value of x is f(x) = g(x)?
(1) 6 (2) 2
(3) -2 (4) -6
What is answer choice three?
Which expression is equivalent to
(x - 5)(2x + 7) - (x + 5)?
What is 2x2 - 4x - 40?
Solve 5(x - 2) < 3x + 20 algebraically.
What is x < 15?
When babysitting, Nicole charges an hourly rate and an additional charge for gas. She uses the function C(h) = 6h + 5 to determine how much to charge for babysitting. The constant term of this function represents
What is the additional gas charge?