Infinite Algebra 1 - HW14 Mixed Review #3

Honors Algebra 1

Name___________________________________ ID: 1

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HW14 Mixed Review #3

Date________________ Period____

Simplify. Your answer should contain only positive exponents. 3 3

1) 2x y × 3 yx

4 3 4

3) (4x y

5)

4mn 2n

7) ( x y

9)

4a

0

4 2

2) 3x y × yx

3 2 3

)

4) (4x y

3

6)

3

2 2

)

4

10)

2

11) 3n

-4

3

p

12) 4n

3 3

)

× yx

4

2

3p

× 3n

)

4

8) (2x y

-1

3a

4x y yx

×y

2

-4

-1

× 3n

4

Worksheet by Kuta Software LLC

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Sketch the graph of each function. 13) y = 3 ×

() 1 2

x+1

14) y = -2 × 2

-6

-4

-1

y -6

y

-8

x-1

-4

-2

2

20

-2

18

-4

16

-6

14

-8

12

-10

10

-12

8

-14

6

-16

4

-18

2

-20

-2

2

4

8 x

6

6 x

4

Graph each equation. 15) y = x - 2 - 3

16) y = - x + 2

y

y

6

6

5

5

4

4

3

3

2

2

1

1

-6 -5 -4 -3 -2 -1

1

2

3

4

5

6 x

-6 -5 -4 -3 -2 -1

1

-1

-1

-2

-2

-3

-3

-4

-4

-5

-5

-6

-6

2

3

4

5

6 x

Worksheet by Kuta Software LLC

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This can be modeled by the equation x y = 1710 × 1.04 where x is the corruption score and y is GDP per capita in dollars. 25000

GDP Per Capita ($)

17) Economists have found that the amount of corruption in a country is correlated to the productivity of that country. Productivity is measured by gross domestic product (GDP) per capita. Corruption is measured on a scale from 0 to 100 with 0 being highly corrupt and 100 being least corrupt: Corruption Score GDP Per Capita ($) 16 2,930 32 6,360 39 7,020 44 12,800 59 13,100 67 25,200

20000 15000 10000 5000

10 20

30 40

50 60

Corruption Score

a) What does the y-intercept of this function represent? b) According to the model, what would be the GDP per capita of a country with a corruption score of 51? Round your answer to the nearest dollar.

Write the slope-intercept form of the equation of the line through the given points. 18) through: (4, -2) and (5, 3)

19) through: (5, 5) and (2, -2)

Simplify each expression. 20) 5b - 8 + b - 1

21) p( p + 2)

22) 3m 2 + 2m(6 + 9m)

23) 2(1 - 8v) - 9v(4 - v)

Worksheet by Kuta Software LLC

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Answers to HW14 Mixed Review #3 (ID: 1) 1) 6x 3 y 4 5) 2m

2) 3x 6 y 3 4 y3 6) 2 x p6 10) 3

4 9) 3a 3 13)

14)

y 20

3) 256x 16 y 12 7) x 2 y 8

4) 64x 9 y 6 8) 8x 7 y 10

9 11) 3 n

12) 12n 3 15)

y -6 -4 -2

2

18

-2

16

-4

14

-6

12

-8

10

-10

4

6

y 6

8 x

4 2 -6

-4

-2

2

4

6 x

-2 8

-12

6

-14

-4

4

-16

-6

2

-18

-8 -6 -4 -2

2

16)

4

-20

6 x

y 6 4 2 -6

-4

-2

2

4

6 x

-2 -4 -6

17) Y-intercept: The GDP per capita of a country with a corruption score of zero $12,639 18) y = 5x - 22 7 20 20) 6b - 9 19) y = x 3 3 2 22) 21m + 12m 23) 2 - 52v + 9v 2

21) p 2 + 2 p

Worksheet by Kuta Software LLC

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