Algebra regents #1

which expression results in a rational number? A.) the square root of 121- the square root of 21 B.) the square root of 25 x the square root of 50 C.) the square root of 36 divided by the square root of 225 D.) 3 square root 5 + 2 square root 5

the answer C.) the square root of 36 divided by the square root of 225

Given the parent project f(x)= x to the third, the function g(x)+ (x-1) to the third - 2 is the result of a shift of f(x). A.) 1 unit to the left 2 units down B.) 1 unit to the left 2 units up C.) 1 unit to the right and 2 units down D.) 1 unit right and 2 units up

the answer is 3.) 1 unit to the right and 2 down.

if C = 2a to the second power - 5 and D = 3 - a then C - 2D equals A.) 2a to the second power + a - 8 B.) 2a to the second power - a - 8 C.) 2a to the second + 2a - 11 D.) 2a to the second - a - 11

the answer is 3.) 2a to the second + 2a - 11

solve algebraically for x: 3600 + 1.02x < 2000 + 1.04x

the answer is 80,000 < x

The area of a rectangle is represented by 3x squared - 10x - 8. Which expression can also be used to represent the area of the same rectangle. A.) (3x + 2)(x - 4) B.) (3x + 2)(x + 4) C.) (3x + 4)(x - 2) D.) (3x - 4)(x + 2)

the answer is A.) (3x + 2)(x - 4)

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each and the laptops cost $439.00 each. If the math department has $6500 to spend and purchases 30 textbooks, how many laptops can they buy? A.)6 B.)7 C.)11 D.)12

the answer is A.) 6

which equation has the same solution as x to the second + 8x - 33 = 0 A.) (x + 4) to the second power = 49 B.) (x - 4) to the second power = 49 C.) (x + 4) to the second power = 17 D.) (x - 4) to the second power = 17

the answer is A.) 9x + 4) to the second power = 49

The height of the ball Doreen tossed into the air can be modeled by the function h(x)= -4.9x to the second power + 6x + 5 where x is the time elapsed in seconds, and h(x) is the height in meters . The number 5 in the function represents A.) The initial height of the ball B.) the time at which the ball reaches the ground C.) the time at which the ball was at the highest point D.) the maximum height the ball attained when thrown in the air

the answer is A.) the initial height of the ball

The function g(x) is defined as g(x)= -2x to the 2nd power + 3x. the value of g(-3) is A.) -27 B.) -9 C.) 27 D.) 45

the answer is A.)-27

what is the solution to the equation 3/5(x + 4/3) = 1.04? A.) 3.06 repeating B.) 0.4 C.) -0.48 repeating D.) -0.7093 repeating

the answer is B.) 0.4

which function could be used to represent the sequence 8,20,50, 125, 312.5,..., given that a(1)= 8 A.) a(n)= a(n)-1 + a(1) B.) a(n) = 2.5(a(n)-1) C.) a(n)= a(1) + 1.5 (a(n)-1) D.) (a(1))(a(n)-1)

the answer is B.) a(n)= 2.5(a(n)-1)

the function f(x) = 2x to the squared + 6x - 12 has a domain consisting of the integers from -2 to 1, inclusive. Which set represents the corresponding range values f(x) A.) { -32, -20, -12, -4} B.) { -16, -12, -4} C.) {-32, -4} D.) {-16, -4}

the answer is B.) {-16, -12, -4}

Using the substitution method, Vito is solving the following system of equations algebraically: y + 3x = -4 2x - 3y = -21 which equivalent equation could Vito use A.) 2(-3x - 4) + 3x = -21 B.) 2(3x - 4) + 3x = -21 C.) 2x - 3(-3x- 4) = -21 D.) 2x - 3(3x - 4)= -21

the answer is C.) 2x - 3(-3x - 4)= -21

Which pair of equations would have (-1,2) as a solution A.) y= x + 3 and y= 2 to the x power B.) y= x-1 and y= 2x C.) y= x to the second power - 3x - 2 and y= 4x + 6 D.) 2x + 3y = -4 and y= -1/2x - 3/2

the answer is C.) y= x to the second power -3x -2 and y= 4x +6

Materials A and B decay over time. The function for the amount of material A is A(t) = 1000(0.5) to the 2t power, where t represents time in days. On which day will the amounts of material be equal A.) initial day, only B.) day 2, only C.) day 5, only D.) every day

the answer is D.) every day

solve x to the second power -8x -9= 0 explain the first step you used to solve the given equation

the answer is x=9 x=-1 the answer is: I factored it by using easy TAM

Determine algebraically the zeros of f(x)= 3x to the third power + 2x to the second power + 36x

the answer is: -4, -3 and zero

Santina is considering a vacation and has obtained high temperature data from the last two weeks for Miami and Los Angeles Miami: 76,75,83,73,60,66,76 81,83,83,87,87,80,80 Los Angeles: 74,63,65,67,65,65,65 62,62,72,69,64,64, which location has the least variability in temperature? Explain how you arrived at your answer

the answer is: because Los Angeles has a higher Standard Deviation

the number of people wo attended a school's last six basketball games increased as the team neared the state sectional games. The table below shows the data games: 13,14,15,16,17,18 attendance: 348, 435, 522, 609, 696, 783 state the type of function that best fits the given data. Justify the choice of a function type

the answer is: its is a linear function because it ha a constant rate.