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M2YL Review:Ben D.

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

If‌ ‌the‌ ‌point‌ ‌J(‌ ‌-1,‌ ‌4)‌ ‌is‌ ‌dilated‌ ‌by‌ ‌a‌ ‌factor‌ ‌of‌ ‌2,‌ ‌translated‌ ‌right‌ ‌3‌ ‌units,‌ ‌then‌ ‌reflected‌ ‌across‌ ‌the‌ ‌x-axis,‌ ‌what‌ ‌are‌ ‌the‌ ‌coordinates‌ ‌

of‌ ‌J´´´?‌

a)

(1,-8)

b)

(-1,-8)

c)

(2.5,-2)

d)

(-1,8)

2.

Determine the algebraic rule that represents the translation from point P(7,6) to point P’(-4,2)

a)

(x,y)->(x-3,y-4)

b)

(x,y)->(x-11,y-4)

c)

(x,y)->(x+11,y+4)

d)

(x-y)->(x-4,y-11)

3.

The point (2,-7) is rotated 270 degrees clockwise. What are its new coordinates?

a)

(-7,2)

b)

(-7,-2)

c)

(-2,7)

d)

(7,2)

4.

Factor completely: x2-7x+12

a)

(x+4)(x+3)

b)

(x-4)(x-3)

c)

(x+6)(x+2)

d)

(x-5)(x-2)

5.

Solve Using the Quadratic Formula: 5x2+8x = 10

a)

x=4665x=\frac{-4-\sqrt{66}}{5}

b)

x=4+665x=\frac{-4+\sqrt{66}}{5}

c)

264

d)

x=4±665x=\frac{-4\pm\sqrt{66}}{5}

6.

Find the discriminant of the equation: 6x2 + 18x = -20

a)

-156

b)

x=9±396x=\frac{-9\pm\sqrt{39}}{6}

c)

-462

d)

804

7.

Solve for x in the following equation:  4=x+34=\sqrt{x+3}  

a)

19

b)

13

c)

61

d)

1

8.

Multiply:  46×106-4\sqrt{6}\times10\sqrt{6}  

a)

 4036-40\sqrt{36}  

b)

36

c)

 803-80\sqrt{3}  

d)

-240

9.

Simplify:  84x14\sqrt{84x^{14}}  

a)

 42x7242x^7\sqrt{2}  

b)

 221x142\sqrt{21x^{14}}  

c)

 2x7212x^7\sqrt{21}  

d)

 2x3.74212x^{3.74}\sqrt{21}  

10.

If y varies jointly with x and z, find the constant of variation if x = 9, z = 3, and y = 45

a)

1.667

b)

1215

c)

15

d)

0.6

11.

Y varies directly with x and inversely with z, if y = 13 when x = 2 and z = 4, find the value of y when x = 7 and z = 6

a)

22.29

b)

30.33

c)

7.583

d)

0.583

12.

Given that y varies directly with x, and y = 40 when x = 8, find x when y = 25

a)

12.8

b)

125

c)

4.17

d)

5

13.

Find the exact distance between (-4,6) and (4,-4)

a)

164\sqrt{164}

b)

12.8

c)

2

d)

10

14.

Find the midpoint between the points (-2,6) and (4,2)

a)

(1,4)

b)

(-3,2)

c)

(2,8)

d)

(2,3)

15.

Solve for the length of side b in the triangle

a)

-1.64

b)

5.39

c)

6.13

d)

2.97

16.

Solve for the indicated angle measure

a)

2.1 degrees

b)

97.31 degrees

c)

120.38 degrees

d)

1 degree

17.

Solve for the marked angle

a)

32 degrees

b)

0.56 degrees

c)

51.38 degrees

d)

38.68 degrees

18.

What is the probability of a card being an ace given that it is a red card?

a)

2/26

b)

2/13

c)

1/26

d)

1/13

19.

If cards are numbered 1 - 15, find the probability of selecting a multiple of 2 or a multiple of 5

a)

9/15

b)

3/5

c)

2/3

d)

8/15

20.

Find the probability of drawing a face card out of a standard deck of 52 cards.

a)

13/3

b)

6/20

c)

3/13

d)

12/52