Math

1. Find the next number in the pattern.
-1, 3, 7, 11
a. 16
b.77
c.15 <-------
d.13

2. Name the property of real numbers illustrated by the question.
-2(x+4)=-2x-8
a.Associative prop of multiplication
c. distributive prop <---------

3. solve the compound inequality.
4x+15≥-9 and 8x-6≤34
a. x≥6 and x≤4
b. x≥-6 and x≤-5
c. x≥-6 and x≤5 <----------
d. x≥6 and x≤5

4.solve the absolute value equation.
|3x+1| =1
a.x=1 or x= -2/3
b. x= -2/3 or x=0 <-------
c. x=1 or x= -2
d. x=1 or x=0

5. given no other restrictions, what are the domain and range of the following function?
f(x)=x^2-2x+3
a. D={x|x≥2} R= all real numbers<---------
b. D= all real numbers
R={y|y≥2}
c. D= all real numbers
R={y|y≥3}
d. D= all real numbers
R=all real numbers

6. write the equation in slope intercept form. what are the slope and y-intercept?
-12x+11y=-8
a.y= -12/11x + 8/11
slope: 12/11; y-intercept: 8/11
b. y= -12/11x - 8/11
slope: 12/11; y-intercept: 8/11
c. y=12/11x - 8/11
slope:12/11; y-intercept: -8/11 <-----------
d.y=12/11x+8/11
slope: 8/11; y-intercept: 12/11

7. what is an equation of the line, in point slope form, that passes through the given point and has the given slope?
point:(7, 3); slope: 4/7
a. y-3=4/7(x-7) <-----------
b. y-7=4/7(x-3)
c.y-3=4/7(x+7)
d.y-7=4/7(x-7)

9. compare the function with the parent function. without graphing, what are the vertex, axis of symmetry, and transformations of the given function?
y=|6x-2|-7
a. (1/3,7);x=1/3; translated to the right 1/3 unit and up 7 units
b. (1/3,7);x=1/3; translated to the left 1/3 unit and down 7 units
c. (1/3,-7);x=1/3; translated to the right 1/3 unit and down 7 units <----------
d. (1/3,-7);x=1/3; translated to the left 1/3 unit and up 7 units

13. which matrix represents the system of equations below?

{-10x-9y+13z=13
{8x-7y-5z=15
{5x+4y-6z=-12

[10 8 5| [12]
[9 -7 4| [10] <-------------
[13 5 -6| [12]

17. What value completes the square for the expression?
x^2-16x
a. -64 <-------
b.64
c.32
d.-32

18. use the quadratic formula to solve the equation.
-x^2+5x=3

5/2+- √13/2 <--------------

19. simplify the expression.
(-5i)(-3i)
a.15i
b.-15i
c.-15 <---------------
d. 15

22. what are the zeroes of the function?
y=(x+3)(x+2)(x-2)

a. -3, -2, 2
b. -3, -2, -2
c. 3, 2, 2
d. 3, 2, -2 <---------------

27. x= 1,2,34,5,6,7
y=4,1,5,10,16,19,15
which of the following equations best represents the regression line for the data given in the table above?
a. y=3x+2 <-------------
b.y=3x-2
c.y=-3x+2
d.y=-3x-2

30. how would you write the expression with a rationalized denominator?
3+^3√3 / ^3√4

6^3√2 + 2^3√36 / 4 <-----------------

31. simplify.
125^1/3

a.125
b.5 <-------
c.25
d. √125

36. evaluate the logarithm.
log_6 1296
a.3
b.4 <---------------
c.-4
d.6

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