1 Evaluate 2 3( 5) 8 ( 3) 3− + − − − −

A –7

B 3

C 12

D – 9

2 Find the exact answer to the expression.

35

+8

10+ 12

76

F 577

G 327

H 775

J 732

3 Use order of operations to evaluate the following.

14

÷ �−23

+12�2

=

A 12

B 9

C 144

D 81

4 Write the given number in scientific notation.

927,000,000

F 89.27 10×

G 892.7 10×

H 6927 10×

J 8.927 10−×

5 In January 2009, the twin Mars rovers, Spirit and Opportunity, celebrated their fifth anniversary of landing on Mars. These rovers, which were expected to last about 90 days, have defied all expectations and have been transmitting signals back to Earth from as far away as 4.3 × 1012 miles. Write 4.3 × 1012 in standard notation.

A 4,300,000,000,000

B 0.0000000000043

C 430,000,000

D 0.43000000

6 A used automobile dealership recently reduced the price of a used compact car by 10%. If the price of the car before discount was $33,500, find the new price.

F $3,350

G $36,850

H $10,000

J $30,150

College Preparatory Integrated Mathematics Course I Semester I Final Exam A

Must show all work for full credit. Calculat ors are not allowed for this exam.

.

•

7 Find the original price of a pair of shoes if the sale price is $144 after a 25% discount.

A $192.00

B $36.00

C $115.00

D $169.00

8 Perform the indicated operation and simplify.

−5(−3𝑥𝑥2 − 2𝑥𝑥 + 2) − 2(2𝑥𝑥2 + 3𝑥𝑥 − 1)

F 19x2 + 4x – 12

G 11x2 + 4x – 8

H –19x2 – 4x – 12

J 11x2 + 16x – 8

9. Solve the following inequality.

−4x + 4 > 20

A x > 4

B x < – 4

C x > 6

D x < – 6

10. Solve this equation.

2𝑝𝑝3−

32

=43

+𝑝𝑝4

F 3.2

G 5.67

H 6.8

J 1.9

11 Solve the equation below.

5(2 + x) – 9x – 6 = – 5(x – 6) + 2

A x = 22

B x = – 8

C x = 28

D x = – 4

12 Solve the system: � 3𝑥𝑥 + 𝑦𝑦 = −20−4𝑥𝑥 − 3𝑦𝑦 = 10

F x = −10 y = 10

G x = 10 y = −10

H x = −2 y = 13

J x = 2 y = − 13

13 The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 20 senior citizen tickets and 40 student tickets for a total of $220. The school took in $250 on the second day by selling 20 senior citizen tickets and 50 student tickets. What is the price of one senior citizen ticket?

A 3

B 5

C 8

D 2

14 Simplify the exponential expression below.

F 3

1x

G x43

H 43

1x

J x3

15 Which of the following linear equations represent the graph below.

A y = 2x – 1

B y = –2x – 1

C y = –2x + 1

D y = –x + 2

16 Graph the solution to the inequality 3x – 2y < 18.

G

H

J

F 10 2

−23

x( )x

−

17 Which of the following is a true statements about the linear function below.

I. the slope is − 25

II. the x-intercept is (0, 10)

III. the y-intercept is (0, 4)

V. the equation is 5x + 2y = 20

A all of the above

B II and III only

C I, III, and V only

D I and III only

18 Find the equation of the line that passes through (−4, 8) with slope −3. Write in

slope-intercept form.

F y = – 3x – 4

G y = – 4x + 3

H y = 3x + 4

J y = 4x – 3

19 Given the equation −2𝑥𝑥 + 7𝑦𝑦 = −25 find the value of 𝑦𝑦 if the ordered pair (2,𝑦𝑦) is a solution.

A 19.5 B -3 C -19.5 D 3

20 Find the area of the rectangle given that the perimeter is 50 cm.

F 32

G 7

H 46

J 9

21 Multiply (3a + 5)2

A 9a2 + 30a + 25

B 25a2 + 15a + 9

C a2 + 3a + 25

D 5a2 + 15a + 9

22 Find the volume of the figures below.

F 18 in3

G 36 in3

H 180 in3

J 172 in3

-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12

-4

-3

-2

-1

1

2

3

4

5

6

7

8

x

y 3𝑚𝑚 + 2

𝑚𝑚− 5

23 Find the measure of angle 𝑥𝑥 and 𝑦𝑦.

A x = 51 ͦ ; y = 129 ͦ

B x = 61 ͦ ; y = 139 ͦ

C x = 42 ͦ ; y = 180 ͦ

D x = 32 ͦ ; y = 148 ͦ

24 Find the unknown length y in the pair of similar triangles.

F 12

G 6

H 4

J 18

25 Simplify 2 2x x− +7 3x

A x2 73 2− +x x3

B 3x2 7x

− +

C x2 4+

D 3x2 7x

+ −