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NJGPA Test 1

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

Which expression is equivalent to 3+(x+4)(x−4)?

a)

x²−13

b)

x²−29

c)

x²−35

d)

x²−80

2.

Which expression is equivalent to (x⁵)−(7x²−7x³)?

a)

−4x³+14

b)

−4x⁵+7x³

c)

x⁵+7x³−7x²

d)

x⁵−7x³−7x²

3.

Multiply the polynomials (x+3)(x−6). The product in the form ax²+bx+c what is the value of a, b, c?

a)

a=1, b=−3, c=−18

b)

a=1, b=−3, c=10

c)

a=1, b=3, c=−10

d)

a=1, b=3, c=10

4.

Consider the polynomial expression: x⁴−6x²+9. Select all expressions that are equivalent to the given expression.

a)

(x²−3)(x²−3)

b)

(x²−3)²

c)

8−3x⁴+x²+4+8−9x²

d)

−(−9+ 6x²−x⁴)

e)

(x³+x)−(6x+2x)+16

5.

The polynomial 5−x(x²−x−2) can be written in the form ax³+bx²+cx+d, where a, b, c, and d are constants. What are the values of a, b, c, and d?

a)

a=−1, b=1, c=2, d=1

b)

a=-1, b=1, c=2, d=5

c)

a=−1, b=−1, c=2, d=5

d)

a=1, b=1, c=−2, d=5

6.

Subtract (4x²−x+6) from (5x²+5x−8).

a)

7x²+6x−14

b)

−x²+4x+2

c)

7x²+4x−2

d)

x²+6x−14

7.

The area, A, of a rectangular parking lot is given by the equation A=16s²+25. Jacob knows the area of the parking lot and wants to find s. Solve A=16s²+25 for s.

a)

s=±√(A−25)/16

b)

s=±√(A+25)/16

c)

s=±√(A−25)/4

d)

s=±√(A+25)/4

8.

Caroline knows the height and the required volume of a cone-shaped vase she’s designing. Which formula can she use to determine the radius of the vase? v=13πr2hv=\frac{1}{3}\pi r^2h

a)

r=3Vπhr=\sqrt[]{\frac{3V}{\pi h}}

b)

r=3vπhr=\sqrt[]{3v\pi h}

c)

r=3Vπr=\frac{\sqrt[]{3V}}{\pi}

d)

r=3Vπhr=\frac{3V}{\pi h}

9.

What is x?

a)

15

b)

23

c)

2

d)

92

10.

Find the value of the angle marked x....

a)

32

b)

64

c)

16

d)

58