Algebra II Final

which of the following ordered pairs (x, y) satisfies the system of inequalities below: y (greater than or equal to) 3x + 1 x - y > 1 (-2, -1) (-1, 3) (1, 5) (2, -1)

(2, -1)

What is the solution (x y) to the system of the following equation: 3x + 4y = -23 2y - x = -19 (-5, -2) (3, -8) (4, -6) (9, -6)

(3, -8)

In sr K + 2 - x = 0, k is a constant. If x = 9, what is the value of k?

79

What are/is the value(s) of x that satisfy sr of 4x = x - 3

9

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 $826.50. How many salads were sold that day? 77 93 99 105

93

which of the following relations is NOT a function? -From student to birthday, -from student current GPA, -from student to score on this test, -from student to test scores last year?

from student to test scores last year

Which of the following statements is true about the graph of the equation 2y - 3x = -4: it has a negative slope and a positive y-intercept it has a negative slope and a negative y-intercept it has a positive slope and a positive y-intercept it has a positive sled and a negative y-intercept

it has a positive sled and a negative y-intercept

In the following equations, b. and c represent the price 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? b = 2.35 + 0.25x c = 1.75 + 0.40x $2.60 $2.85 $2.95 $3.35

$3.35

If 3(c + d) = 5,, what is the value of c + d?

5/3

If 20 - x = 15, what is the value of 3x?

15

what is the value of the expression: ||-8 + 4| - |3 - 9|| (page 3/3 of quiz from 10/) -18 -2 0 2 18

2

If sq rt x + sq rt 9 = sq rt 64, what is the value of x?

25

in the xy-plane, the graph of the function f(x) = x sq + 5x + 4 has two x-intercepts. what is the distance between the x-intercepts? 1 2 3 4

3

If x > 0, which of the following is equivalent to the given expression: sr 9x squared.

3x

In the xy-plane, the graph of which of the following equations is perpendicular to the graph of the equation: 3x = 2y = 6 3x + 4y = 6 2x + 4y = 6 2x + 6y = 3

3x + 2y = 6

what is the equivalent to 3(x + 5) - 6

3x + 9

what value of z satisfies the following equation: 2z + 1 = z

-1

Identify the property demonstrated by 5(4 + 7) = 20 + 35

Distributive

What describes the changes made to the parent function in order to create g(x) = sr of -x + 3?

Horizontal shift left 3 units and reflection across the y-axis

in the xy-plane, if (0, 0) is a solution to the system of inequalities below, which of the following relationships between a and b must b e true? y < -x + a y > x + b a>b b>a |a| > |b| a = -b

a>b

identify the property demonstrated by 3 + (4+5) = (3+4) + 5

associative property

which of the following is not a synonym for solutions: roots factors zeros x-intercepts

factors

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. what is the reasonable range for this situation?

{21.75, 43.50, 65.25, 87, 108.75, 130.50}

sr 2x + 6 + 4 = x + 3 what is the solution set of thee equation above ?

{5}

the range of a quadratic function is y (greater than or equal to) 4. which of the following statements cannot be true about the equation? the domain is all real numbers the parabola has minimum value the a-value is negative the graph is translated 4 down from the parent

the a-value is negative the graph is translated 4 down from the parent

Line I in the xy-plane contains points from each of Quadrants II, III and IV, but no points from Quadrant I. Which of the following must be true? the slope of line I is undefined the slope of line I is zero the slope of line I is positive the slope of line I is negative

the slope of line I is negative

If the slope of the parent function n of the absolute value is changed to 1/4, then the NEW graph is steeper than the parent function wider than the parent function reflected over the x-axis reflected over the y-axis

wider than the parent function

what are the solutions of the quadratic equations 4x sq - 8x - 12 = 0 x = -1 and x = -3 x = -1 and x = 3 x = 1 and x = -3 x = 1 and x = 3

x = -1 and x = 3

what are the solutions to 3x sq + 12x + 6 = 0? x = -2 (plus or minus) sq rt of 2 x = -2 (plus or minus) sq rt of 30 over 3 x = -6 (plus or minus) sq rt of 2 x = -6 (plus or minus) 6 sq rt of 2

x = -2 (plus or minus) sq rt of 2

which value of x is a solution to this equation: 5x sq - 36x + 36 = 0 x = -6 x = 4 x = -1.8 x = 1.2

x = 1.2

the following equation represents a parabola in the xy-plane: y = x sq - 6x + 8 which of the following equivalent forms of the equation displays the x-intercepts of the parabola as constants or coefficients? y - 8 = x sq - 6x y + 1 = (x - 3) sq y = x(x -6) + 8 y = (x -2)(x - 4)

y = (x -2)(x - 4)

Line m in the xy-plane contains the points (2, 4) and (0, 1). Which of the following is an equation of line m? y = 2x + 3 y = 2x + 4 y = 3/2x + 3 y = 3/2x + 1

y = 3/2x + 1

What is the se of all solutions to the equation sr x + 2 = -x?

{-1, 2}

If the parent function of the absolute value is shifted down three units and right four units, what is the NEW domain and range? -3 (less than or equal to) x (less than or equal to) 4 and -(infinity) < y < (infinity) -(infinity) < x (less than or equal to) 4 and -(infinity) < y < (infinity) -(infinity) < x (less than or equal to) 4 and -3 (less than or equal to) y < (infinity) -(infinity) < x < (infinity) and -3 (less than or equal to) y < (infinity)

-(infinity) < x < (infinity) and -3 (less than or equal to) y < (infinity)

Based on the following equation, what is the value of 3x - 2?

-4

f(x) = 3/2x + b 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

what are the x-intercepts of the graph of the quadratic function: f(x) = 5x sq + 4x -1 1/5 and -1 -1/5 and 1 0 and -1 -2/5 and 1 2/5

1/5 and -1

One of the requirements for becoming a court reporter is the ability to type 225 words per minute. Donald can currently type 180 words per minute and believes the with practice he can increase his typing speed by 5 words per minute each month. which of the following represents the number of words per minute that Donald believes he will be able to type m months from now? 5 + 180m 225 + 5m 180 + 5m 180 - - 5m

180 + 5m

what is the expression that is equivalent to (x sq - 3) - (-3x sq + 5)

4x sq - 8

when 4 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 following equation 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: h = -4.9t sq + 25t after approximately how many seconds will the ball hit the ground? 3.5 4.0 4.5 5.0

5.0

wha is the sum of the solutions to (x - 6)(x + 0.7) = 0? -6.7 -5.3 5.3 6.7

5.3

the path of a shot put that is released at an angle of 35 degrees can be modeled by the equation y = -0.05x squared + 0.7x = 5.5. at what height was the shot put released? 0.05 feet 0.7 feet 5.5 feet 5.75 feet 6.5 feet

5.5 feet

what expression is equivalent to (2x sq - 4) - (-3x sq + 2x - 7)?

5x sq - 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 3 7/2 4 6

6

simplify 4 sq rt 5 + sq rt 20

6 sq rt 5

If f(x) = -2x + 5, what is f(-3x) equal to?

6x + 5

the following function models the jump of a kangaroo where x is the horizontal distance in feet and y is the corresponding eight in feet. y = -0.03(x - 14) squared + 7. What is the kangaroo's maximum height? 6.5 feet 7 feet 14 feet 27.7 feet

7 feet

the graph of y = |x - 6| is in the standard (x, y) coordinate lane. 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 translation to the left 6 coordinate units translation up 6 coordinate units translation down 6 coordinate units reflection across the line x = 6

translation to the right 6 coordinate units

the zeros of a quadratic function are 5 and -3. if the function is dilated by a factor of 3, which equation represents this function? y = 3x squared - 2x - 15 y = 3x squared - 6x -45 y = 3(x+5)(x - 3) y = 3(x + 5) squared - 3

y = 3x squared - 6x -45

given the roots of a quadratic function are -3/4 and 5. which of these could be the equation of the function described? y = x sq - 3/4x + 5 y = 5x sq - 12x - 20 y = 3x sq - 11x -20 y = 4x sq - 17x - 15

y = 4x sq - 17x - 15

Use interval notation to represent -2 less than or equal to x <8

{-2, 8]

what is the solution set for the quadratic equation x sq - 16 = 0 {4} {-4, 4} {256} {-256, 256}

{-4, 4}