Question

1. the function ( g(x) ) is defined as ( g(x) = -2x^2 + 3x ). the value of ( g(-3) ) is

a. (-27)
b. (-9)
c. (27)
d. (45)

1. which chart could represent the function ( f(x) = -2x + 6 )?

a.

( x )	( f(x) )
2	10
4	14
6	18

b.

( x )	( f(x) )
2	6
4	8
6	10

c.

( x )	( f(x) )
2	10
4	12
6	14

d.

( x )	( f(x) )
2	2
4	(-2)
6	(-6)

1. which expression results in a rational number?

a. ( sqrt{121} - sqrt{21} )
b. ( sqrt{25} cdot sqrt{50} )
c. ( sqrt{36} div sqrt{225} )
d. ( 3sqrt{5} + 2sqrt{5} )

1. which equation has the same solution as ( x^2 + 8x - 33 = 0 )?

a. ( (x + 4)^2 = 49 )
b. ( (x - 4)^2 = 49 )
c. ( (x + 4)^2 = 17 )
d. ( (x - 4)^2 = 17 )

1. 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 $5439.00 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

1. in an arithmetic sequence, the first term is 4 and the third term is (-2). what is the common difference?

a. (-1)
b. (-2)
c. (-3)
d. (-6)

1. which value of ( x ) is a solution to the equation ( 13 - 36x^2 = -127 )?

a. ( \frac{25}{36} )
b. ( \frac{25}{36} )
c. ( -\frac{6}{5} )
d. ( -\frac{5}{6} )

1. a middle school conducts a survey to determine if they spent more time playing games or watching videos on their tablets. the results are shown in the table below.

	playing games	watching videos	total
girls	54	142	196
total	192	188	380

of the students who spent more time playing games on their tablets, approximately what percent were boys?
a. 41
b. 56
c. 72
d. 75

1. which expression is equivalent to ( (x - 5)(2x + 7) - (x + 5) )?

a. ( 2x^2 - 2x - 30 )
b. ( 2x^2 - 2x - 40 )
c. ( 2x^2 - 4x - 30 )
d. ( 2x^2 - 4x - 40 )

1. which is the polynomial for the given graph?

graph of a polynomial with roots at ( x = -2 ), ( x = -5 ), ( x = 1 ), ( x = 4 ), and a double root at ( x = -1 ) (or similar, based on the options)
a. ( p(x) = (x - 2)(x - 5)(x + 1)(x + 4) )
b. ( p(x) = (x - 2)(x + 1)^2(x + 4) )
c. ( p(x) = (x + 2)(x + 5)(x - 1)(x - 4) )
d. ( p(x) = (x + 2)(x - 1)^2(x - 4) )

Explanation:

Answer:

1. A. -27
2. D.

$x$	$f(x)$
2	2
4	-2
6	-6

1. C. $\sqrt{36}\div\sqrt{225}$
2. A. $(x + 4)^2 = 49$
3. A. 6
4. C. -3
5. C. 72
6. B. $2x^2 - 2x - 40$
7. B. $P(x) = (x - 2)(x + 1)^2(x + 4)$