Question 1

Which expression is equivalent to $\sqrt{147}$?

Accepted Answer

7 $\sqrt{3}$

Answer

21 $\sqrt{7}$

Answer

49 $\sqrt{3}$

Answer

3 $\sqrt{7}$

Question 2

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than
twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Which system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?

Accepted Answer

$g$ = $2d - 8$
$g + d = 46$

Answer

$d = 2g - 8$
$d = 46 - g$

Answer

$d = 8 - 2g$
$d + g = 46$

Answer

$g = 8 - 2d$
$g = 46 - d$

Question 3

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs
20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in
pounds can be represented by f x( ) = 20x + 4.

What is the range of the function for this situation?

Accepted Answer

{4, 24, 44, 64, 84, 104, 124}

Answer

{4, 44, 84, 124}

Answer

{0, 1, 2, 3, 4, 5, 6}

Answer

{0, 2, 4, 6}

Question 4

The area of a rectangle is $54 x^9y^8$ square yards. If the length of the rectangle is $6 x^3 y^4$ yards,
which expression represents the width of the rectangle in yards?

Accepted Answer

$9 x^6 y^4$

Answer

$60 x^6 y^2$

Answer

$9 x^3 y^2$

Answer

$48 x^6 y^4$

Question 5

The total number of seats in an auditorium is modeled by f(x) = $2x^2 - 6x$, where $x$ represents
the number of rows of seats. How many rows are there in the auditorium if it has a total of
416 seats?

Accepted Answer

16

Answer

32

Answer

13

Answer

20

Question 6

What is the solution to $8x - 3(2x - 4) = 3(x - 6)?$

Accepted Answer

30

Answer

2

Answer

No solution

Answer

6

Question 7

Which expression is equivalent to $6x^2 + 13x + 5$?

Accepted Answer

$(2x + 1) (3x + 5)$

Answer

$(2x + 5) (3x - 1)$

Answer

$(2x - 5) (3x + 1)$

Answer

$(2x - 1) (3x - 5)$

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