Algebra Final Test 1
Which of the following ordered pairs (x,y) satisfies the system of inequalities below? y<3x+1 x-y>1
(2,-1)
What is the solution (x,y) to the system of equation below? 3x+4y=-23 2y-x+-19
(3, -8)
use any method to solve the following absolute value -2 |x+3|+10=-26
-21 and 15 (when solving make both equations opposite)
If f(x)=xsquared-6x+3/x-1, what is f(-1)?
-5
in the function above, b is a constant. If f(6)=7, what is the value of f(2)?
-5
solve using any method to solve | 2x+6|=x+9
-5 and 3
One of the requirements for becoming a court reporter is the ability to type 223 words per minute. Donald can currently type 180 words per minute...
180+5m
what is the value of the expression below? |I-8+4I - I3-9I|
2
in the xy plane, the graph of the function____ has two x intercepts. What is the distance between the x intercepts?
3!
In the equations below, b and c represent the prices per pound, in dollars, of beef and chicken, respectively, x weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per pound of chicken?
3.35 (last answer choice)
Which of the following is equivalent to 3(x+5)-6?
3x+9
Which of the following is equivalent to the one below? (x squared-3) - (-3xsquared+5)
4xsquared - 8
When four times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7?
5
the equations above expresses the approximate height h, in meter, of a ball t seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second. After approximately how many seconds will the ball hit the ground?
5.0
the path of a shot put that is released at an angle of 35 can be modeled by the equation ______. At what height was the shot put released?
5.5 feet (C)
which expression is equivalent to (2xsquared-4)-(-3xsquared+2x-7)?
5xsquared-2x+3
the system of equations below has a solution (x,y). What is the value of x? 1/2y=4 x-1/2y=2
6
if f(x)=-2x+5, what is f(-3x) equal to?
6x+5
given the absolute value function graphed to the right, what value of x, greater than zero, has a y value of 4?
7
the following function models the jump of a kangaroo where x is the horizontal distance in feet and y is the corresponding height in feet. what is the kangaroo's maximum height?
7
two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $75 each, and to sit on the lawn during the concert cost $40. Which of the following systems of equations could be used to find the number of tickets for bench seats, B, and the number of tickets for lawn seats, l, that were sold for the concert?
75B+40L=19,250 B + L= 350
in the equation above, k is a constant. If x=9, what is the value of K?
79
a food truck sells salads for $6.50 each and drinks for $2.00 each. The food truck's revenue from selling a total of 209 salads one day was $836.50. How many salads were sold that day?
93
Based on the equation below, what is the value of 3x-2? 2/3(9x-6)-4=9x-6
A: -4
Which of the following describes the changes made to the parent function in order to create g(x)=_/-x+3?
A: I and IV
Identify the property demonstrated by 3+(4+5)=(3+4)+5
Associative property
what are the solutions of the quadratic equations 4x^2-8x-12=0
B: x=-1 and x=3
what is the set of all solutions to the equation _/x+2=-x?
B: {-1}
Taylor has two summer jobs. She works as a tutor which pays 12 dollars an hour and she works as a lifeguard.
Bottom left answer: 12x+9.5y>220 x+y<20
what is the SUM of the solutions to (x-6)(x+0.7)=0?
C: 5.3
Which function has a range of (-@@,2]?
C: y=-4_/x-2 +2
which of the following is an equivalent form of the equation of the graph shown in the xy plane above, from which coordinates of vertex a can be identified as constants in the equation?
D: y=(x-1)squared-16
given the roots of a quadratic function are -3/4 and 5. Which of these could be the equation of the function described
D: y=4xsqaured-17x-15
Identify the property demonstrated by 5(4+7)=20+35
Distributive property
which of the following is NOT a function?
From student to test scores last year
the complete graph of the function f is shown in the x-y plane above. Which of the following are equal to one?
I,II, and III
What are all values of x that satisfy the given equation?
II ONLY
Which of the following statements is true about the graph of the equation 2y-3x=-4 in the xy plane?
Last answer: it has a positive slope and a negative y intercept
In the xy plane, the graph of which of the following equations is perpendicular to the graph of the equation below? -2x+3y=6
Top answer choice (a) 3x+2y=6
Use interval notation to represent -2<_x<_8
[-2,8)
What are the solutions to 3x^2+12x+6=0?
a: x=-2x+-_/2
In the x-y plane, if (0,0) is a solution to the system of inequalitites below, which of the following relationships between a and b must be true? y<-x+a y>x+b
a>b
use any method to solve the following absolute value | 4x+8 | +14>-26
all real numbers; when > a negative, all real numbers
Henry is an insurance agent who sells two types of policies: a $50,000 policy and a $100,000 policy. Last month his goal was to sell at least 57 insurance policies.
bottom left answer: x+y<57 50,000x+100,000y > 3,000,000
the graph of y=|x-6| is in the standard xy coordinate plane. Which of the following transformations, when applied to the graph y=|x|, results in the graph y=|x-6|?
translation to the right 6 coordinate units
which system of inequalitites matches the shaded solution region shown in the graph?
y<-1/3x+5 y>2x-2 y>-2x-3 (top left)
For matt's birthday, he can take up to five friends with him to the movies. The cost per person for the movie and snacks is $21.75. Which of the following is a reasonable range for this situation?
{21.75, 43.50, 65.25,87,108.75,130.50}
