Algebra I TEST 12
Where is the vertex of a parabola in standard position located?
(0,0)
The zeros of the function f(x) = x^2 - 2x - 8 are x = -2, 4. Find the vertex.
(1, - 9)
Factor x^2+2x=8
(x+4)(x-2)
A jar contains 10 marbles: 2 red, 3 black, 1 yellow, 3 oranges, and 1 purple. What is the probability of selecting a yellow marble then a red marble without replacement? 1/10 * 2/9 = 2/90 = 1/45
1/45
Find the length of the hypotenuse of a right triangle if the length of the legs are 6 and 8. c^2 = a^2 +b^2
10
What is the constant of variation when x = 3 and y = 6? (y varies directly with x.) y = kx; 6=k(3); k =
2
What is the five-number summary for the data given below? 31, 33, 36, 38, 38, 42, 45, 47, 50, 51, 54, 58, 60, 63
31-38-47-58-63
Julia has a jar of 161 coins consisting of pennies and nickels. The total value of the coins is $3.09. How many pickles does Julia have in the jar?
37
To rationalize the denominator of the radical expression √2 + 5 / 4 - √7, the numerator and denominator should be multiplied by which factor?
4 + √7
A rectangular cutting board is 4 inches longer than it is wide. If its area is 96 square inches, what is the width of the cutting board?
8 inches
The point (-3,6) lies in quadrant ____
II
Which equation is a function? a) y = x + 2 b) x^2 - y^2 = 9 c) y = +- √ x + 5 d) y^2 = 3x + 1
a
Which of the following equations is parallel to y = -1/2 x + 5/3? a) y = -1/2x - 1/2 b) y = 1/2x - 5 c) y = -2x - 7/2 d) y = 2x - 5
a
Identify the domain of the function f(x) = x - 3 / x^2 - 9
all real numbers except x cannot equal - 3, 3.
Which of the following functions demonstrates vertical stretch when compared to the parent function f(x) = x^2? a) f(x) = -x^2 b) f(x) = 1/3 x^2 c) f(x) = -1/2x^2 d) f(x) = (x-3)^2
c
(a + b) x = (b + a) x shows what property
commutative
After a successful summer, Coffee Corner made a bar graph for the average number of customers they served every day. Which day did Coffee Corner have the least number of customers?
d
Which of the following functions demonstrates horizontal translation? a) f(x) = x^2+3 b) f(x) = 9x^2 c) f(x) = -1/2x^2 d) f(x) = (x+1)^2
d
a (x + y) = ax + ay shows what property
distributive
In order of operation, multiplication and ____ are completed at the same time from left to right in the expression.
division
There are three possible relationships between two numbers (less than, greater than, and equal to), but only ____ of these relationships can be true at one time.
one
According to the fundamental theorem of arithmetic, every composite number can be written as a ____ of prime numbers
product
What is the name for transformations that do not change the shape of the parent function's graph?
rigid
y = mx + b (name the formula)
slope intercept form
Ax + By = C
standard form of a linear equation
ax^2+bx+c=0
standard form of a quadratic equation
x = a show a
vertical line
The rational expression x(x+2)(x-3) / (x+2)(x+4) reduces to x(x-3) / x+4. Which excluded value(s) should be listed with the reduced expression?
x = -2
Find the zeros of the function f(x) = x^2 - 6x - 16.
x = -2, 8
Solve by completing the square: x^2 + 8x - 4 = 0
x = -4 +- 2√5
Solve: 2|x+3| = 6
x = -6, x = 0
solve: √x-3 = 4
x = 19
Solve: -2 (x - 6) = 2x
x = 3
Determine the value that x cannot equal for the rational expression 4x + 5 / x^2 + 4x + 4
x cannot equal -2