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Ten Class Exam

math

1.If 𝑥 2 + 5 𝑥 + 6 = 0 x 2 +5x+6=0, what are the roots of the equation?

𝑥 = − 2 , − 3 x=−2,−3

x=2,3

x=−1,−6

x=1,6

2.What is the value of sin ⁡ 4 5 ∘ sin45 ∘ ?

0

1

2/2

1/2

3. Find the derivative of 𝑓 ( 𝑥 ) = 𝑥 3 − 3 𝑥 2 + 4 𝑥 − 5 f(x)=x 3 −3x 2 +4x−5.

3x 2 −6x+4

3x 2 −3x+4

3x 2 +6x+4

3x 2 −6x−4

4. If 𝑎 + 𝑏 = 10 a+b=10 and 𝑎 𝑏 = 21 ab=21, find 𝑎 2 + 𝑏 2 a 2 +b 2 .

29

79

100

58

5. What is the slope of the line perpendicular to 𝑦 = 3 𝑥 + 7 y=3x+7?

- 1/3

3

1/3

-3

6.What is the equation of a line parallel to 𝑦 = 2 𝑥 + 3 y=2x+3 passing through (1, 2)?

y=2x+1

y=2x

𝑦 = 2 𝑥 − 1 y=2x−1

y=2x+2

7. If 𝑎 = 3 a=3 and 𝑏 = 4 b=4, find 𝑎 2 + 𝑏 2 a 2 +b 2 ​ .

5

7

6

9

8. What is the value of 𝑥 x in 5 2 𝑥 = 25 5 2x =25?

0.5

1

1.5

2

9. Solve for 𝑥 x in the equation 9 𝑥 2 = 81 9x 2 =81.

±3

±2

±4

±1

10. If 𝑎 : 𝑏 = 3 : 4 a:b=3:4 and 𝑏 : 𝑐 = 5 : 6 b:c=5:6, find 𝑎 : 𝑐 a:c.

3:6

6:20

8:15

5:8

11. What is the sum of the roots of the quadratic equation 𝑥 2 − 5 𝑥 + 6 = 0 x 2 −5x+6=0?

-5

6

5

-6

12. What is the equation of a line parallel to 𝑦 = 2 𝑥 + 3 y=2x+3 passing through (1, 2)?

y=2x+1

y=2x

𝑦 = 2 𝑥 − 1 y=2x−1

y=2x+2

13. Evaluate the integral ∫ ( 4 𝑥 3 − 2 𝑥 )   𝑑 𝑥 ∫(4x 3 −2x)dx.

x 4 −x 2 +C

𝑥 4 − 𝑥 2 / 2 + 𝐶 x 4 −x 2 /2+C

𝑥 4 / 4 − 𝑥 2 + 𝐶 x 4 /4−x 2 +C

x 4 −x 2

14.If 𝐴 = [ 2 3 4 5 ] A=[ 2 4 ​ 3 5 ​ ], what is the determinant of 𝐴 A?

-2

-3

1

10

15. What is the equation of the line with slope 3 passing through the point (2, -5)?

y=3x+1

𝑦 = 3 𝑥 − 11 y=3x−11

𝑦 = 3 𝑥 − 5 y=3x−5

y=3x+11

16.What is the equation of the circle with center (3, -2) and radius 4?

(x−3) 2 +(y+2) 2 =16

(x+3) 2 +(y−2) 2 =16

(x−3) 2 +(y−2) 2 =16

(x+3) 2 +(y+2) 2 =16

17.Evaluate lim ⁡ 𝑥 → 2 𝑥 2 − 4 𝑥 − 2 lim x→2 ​ x−2 x 2 −4 ​ .

2

4

8

0

18. Find the range of the function 𝑓 ( 𝑥 ) = ∣ 2 𝑥 − 3 ∣ f(x)=∣2x−3∣.

[0,∞]

(−∞,∞)

[3,∞]

[−∞,0]

19.What is the value of 1 2 + 1 3 2 1 ​ + 3 1 ​ ?

5/6

1/6

2/6

5/3

20. If 𝑦 = 2 𝑥 + 5 y=2x+5, what is the value of 𝑦 y when 𝑥 = − 1 x=−1?

3

-3

7

-7

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