Algebraic Concepts Patterns, Sequences, Functions RIT 241 250

Algebraic Concepts – Patterns, Sequences, Functions – RIT 241 – 250

1. Given the following sequence 1, 4, 9, 16, 25 . . .

What is the eighth term of this sequence?

A. 64

B. 49

C. 81

D. 59

E. 75

2. Which set of ordered pairs is a function?

A. { (2,3), (3,4), (4,5), (3,5), (6,3) }

B. { (2,3), (3,3), (4,3), (5,3), (6,3) }

C. { (2,3), (2,4), (3,4), (4,5), (5,6) }

D. { (2,3), (3,3), (4,3), (2,4), (6,3) }

E. { (2,3), (3,4), (4,5), (5,6), (2,6) }

3. Which table represents an example of inverse variation?

a / 10 / 15
b / 3 / 2

a / 2 / 4
b / 1 / 8

a / 3 / 8
b / 1 / 4

a / 5 / 15
b / 10 / 45

a / 3 / 8
b / 6 / 4

Algebraic Concepts – Solving Equations & Inequalities – RIT 241 – 250

4. Solve for x:

A. x = 8 and x = -12

B. x = -8 and x = 12

C. x = 8 and x = -8

D. x = 12 and x = -12

E. x = 4 and x = -8

5. Give the slope of a line perpendicular to the line represented by the equation 3x + 5y = 15

A. m = -

B. m = -

C. m =

D. m =

E. m =

6. Solve the following system of equations and interpret the solution graphically.

2x – 3y = 6

x + y = 8

A. (2,6), lines intersect

B. (-6,6), lines parallel

C. (6,6), same line

D. (6,2), lines intersect

E. (-6,-2), lines parallel

7. Find the x and y intercepts for the linear equation 7x – 2y + 14 = 0.

A. (-2,0) (0,7)

B. (7,0) (0,-2)

C. (2,0) (0,-7)

D. (-7,0) (0,2)

E. (-2,0) (0,-7)

8. Solve the following system of inequalities:

x + 2y ≤ 3

3x – y > 5

9. Simplify:

10. Perform the following operation:

11. Factor completely:

A. 9x(x – 3)(x + 1)

B. 9x(x + 3)(x – 1)

C. 9(x2 – 3x)(x + 1)

D. x(3x – 9)(3x + 3)

E. (3x2 – 9x)(3x + 3)

12. Simplify:

E. already simplified

13. Simplify: 3i (6 – 4i)

A. 12 + 18i

B. 6i

C. 18i – 12i2

D. 12 – 18i

E. 18i + 12i2

14. Factor 4y2 - 9

A. (2y – 3)(2y + 3)

B. (2y + 3)(2y + 3)

C. (4y – 3)(4y + 3)

D. (4y – 3)(4y – 3)

E. 4(y – 3)(y + 3)

Computation – Fractions – RIT 241 – 250

15. 6 X 1 3/5 =

A. 6 3/5

B. 9 3/5

C. 3 3/4

D. 4 4/5

E. 3 3/5

Computation – Integers – RIT 241 – 250

16. Put the following integers in order from least to greatest.

-4, 3, -2, 0, 2

A. 0, -2, 2, 3, -4

B. –2, -4, 0, 2, 3

C. 3, 2, 0, -2, -4

D. –4, -2, 0, 2, 3

E. –4, 3, 2, -2, 0

17. –5 - (-9) =

A. 4

B. 14

C. –4

D. –14

E. 45

Geometry – Congruency and Similarity – RIT 241 – 250

18.

a) / / b) /

Using drawing a), drawing b) illustrates a method for constructing a _____

A. congruent angle

B. congruent segment

C. congruent triangle

D. vertical angle

E. supplementary angle

Geometry – Properties and Terminology – RIT 241 – 250

19. Complete the statement with the correct answer.

Parallel lines are . . .

A. in the same plane and do not intersect.

B. in the same plane and do intersect.

C. in different planes and do not intersect.

D. in different planes and do interact.

20.

The drawing illustrates a method for constructing:

A. an angle bisector

B. a supplementary

C. a right angle

D. a segment bisector

E. a perpendicular bisector

21.

Find the length of the missing side.

A. 12

B. 8

C. 18

D. 16

E. 14

22.

The dashed line represents . . .

A. an angle bisector

B. a perpendicular bisector

C. an altitude

D. a hypotenuse

23.

Which two chords in the diagram have the same length?

A. BD and AC

B. EF and BD

C. EF and AC

D. FD and AC

E. FD and BD

24. Which diagram shows a ball that is cut into symmetric parts?

Measurement – Area, Perimeter, Circumference – RIT 241 – 250

25.

x / x / 1 / 1 / 1 / 1
x / x / 1 / 1 / 1 / 1
x / x / 1 / 1 / 1 / 1
x / x / 1 / 1 / 1 / 1

Calculate the area of this rectangle using the illustrated algebra tiles.

A. 8x + 16

B. 4x + 20

C. 6x + 16

D. 8x + 20

E. 6x + 14

26.

If all sides are increased by 1 square unit, then the perimeter of the shape will ______.

A. decrease by 6 square units

B. increase by 7 square units

C. decrease by 7 square units

D. decrease by 4 square units

E. increase by 4 square units

27.

Which formula could be used to calculate the surface area of this rectangular prism?

A. S = 24a2 + 22

B. S = 22a2 + 24a

C. S = 22a + 24a

D. S = 20a + 22a

E. S = 22a2 + 20a

Number Sense and Numeration – Square Roots – RIT 241 –250

28. Solve:

21 -

A. 5

C. 21 -

D. 13

E. 17

Problem Solving – RIT 241 – 250

29. A student’s test scores are 89%, 78%, 84%, and 67%. What percent does the student need on the fifth test to average 81%?

A. 87%

B. 81%

C. 90%

D. 92%

E. 85%

30.

year / 1999 / 2000 / 2001 / 2002
vehicle price / $20,050 / $20,700 / $21,350 / $22,000

If this trend continues, what will be the price of the vehicle in 2008?

A. $25,900

B. $25,250

C. $26,550

D. $24,600

E. $27,150

31. Joe earns $11.50/hr for the first 40 hours in the week, time and a half for the next 8 hours and double time for any additional time. This week Joe worked for 52 hours. How much money did Joe earn?

A. $690

B. $598

C. $897

D. $644

E. $828

32.

Figure 1 / Figure 2 / Figure 3

Following this pattern, how many small triangles would there be in Figure 4?

A. 16

B. 11

C. 14

D. 20

E. 23

33.

Cylinder volume = / Sphere volume =

Volume of a cylinder = Õr2h Volume of a sphere =

What is the ratio of the volume of the cylinder to the volume of the sphere?

A. 9:32

B. 3:8

C. 9:8

D. 1:2

E. 2:1

34.

Which of these tables correctly identifies the figure on the graph?

A. ____x y

A -2 5

B 2 0

C 0 -3

D -2 -4

E -3 0

B. ____x y

A 5 -2

B 0 2

C 3 0

D -4 -2

E 0 3

C. ____x y

A -2 -5

B -2 0

C 0 3

D -2 -4

E -3 0

D. ____x y

A -2 5

B 2 0

C -3 0

D -4 -2

E -3 0

E. ____x y

A 5 -2

B 0 2

C -3 0

D -2 -4

E -3 0

35. Identify the converse of the following statement:

An equiangular triangle has an angle that measures 60˚.

A. If an angle measures 60˚, then the triangle is equiangular.

B. If the triangle is equiangular, then it has an angle of 60˚.

C. If the figure is a triangle, then all angles are 60˚.

D. If the triangle has an angle of 60˚, then it is equiangular.

E. If one angle measures 60˚, then the figure is a triangle.

36. Which of the following would be an appropriate unit of measurement for the speed of filling a swimming pool?

A. Cubic feet per hour

B. Square feet per hour

C. Gallons per cubic feet

D. Gallons per square feet

E. Feet per gallon per hour

Statistics/Probability and Graphing – Combinations and Permutations – RIT 241 – 250

37. How many different ways can the words in the following sentence be ordered? (The order does not have to form an actual sentence.)

“Math is a blast.”

A. 4

B. 8

C. 12

D. 18

E. 24

Statistics/Probability and Graphing – Graphing – RIT 241 – 250

38.

8th Grade Fundraiser

If the trend continues, how much money will the 8th Grade have raised at the end of week #5?

A. 700

B. 900

C. 600

D. 500

E. 1,000

39. If Point B is the midpoint of segment , what are the coordinates of Point C?

A. (8,2)

B. (2,7)

C. (2,6)

D. (6,2)

E. (7,2)

Statistics/Probability and Graphing – Probability and Prediction – RIT 241 – 250

40. What is the probability of rolling a number less than five on one toss of a six-sided die?

A. 4

C. 6