Oklahoma City Community College

Developmental Math Program

Sample Questions for:

College Prep Math I

College Prep Math II

College Prep Math III

College Prep Math IV

These are sample questions from the courses not from the MAP placement test. For more resources to review for the placement test, please pick up enrollment information in the OCCC Math Lab.

Oklahoma City Community College

Developmental Math Program

College Prep Math I Sample Questions

College Prep Math I Course Description

This course provides the conceptual foundation of whole numbers, fractions, decimals, percents, and integers with the purpose of preparing students to perform and apply calculation and solution techniques with these topics in future classes. Students will use manipulatives, number lines, and other concrete examples to model basic mathematical representations and operations. Additionally, the student will apply math study skills throughout the course.

Simplify as indicated.

1.) 2.) 3.)

4.) 5.) 6.)

7.) 8.) 9.)

10.) 11.) 12.)

Solve the problems.

13.) Write the following numbers using digits:

a.) Twelve thousand, three hundred ninety-seven

b.) Eighteen and four tenths

14.) Which digit is in the thousands place for the number 3,495,687?

15.) Write a fraction to represent the shaded portion of the figure below.

16.) Complete the factor pairs for the number 24.

1×___ = 242×___=243×___=244×___=24

17.) Convert to an improper fraction:

18.) Convert to a mixed number:

19.) Write as a percent.

20.) Jan is saving money to buy a camera that costs $730. If she has already saved $458, how much more money does she need to save in order to buy the camera?

College Prep Math ISample Questions Solutions

1.) 91

2.) 14

3.) 16.6

4.) 17.24

5.) 374

6.) 58

7.) 33

8.) 3

9.) 25

10.)

11.)

12.)

13.) a.) 12,397b.) 18.4

14.) 5

15.)

16.) 1×24 = 242×12=243×8=244×6=24

17.)

18.)

19.) 41%

20.) Jan needs to save $272 more

Oklahoma City Community College

College Prep Math II Sample Questions

College Prep Math II Course Description

The student will perform basic operations with signed numbers, exponents, and polynomials; solve linear equations, inequalities, and formulas; and plot points and graph lines in the Cartesian Coordinate system. In addition the student will apply math study skills throughout the course.

Perform the indicated operations.

1)2) 3) 4)

5) 6)

Solve each equation for the unknown variable.

7) 8) 9)

10) 11)

Solve the problems.

12) Solve the equation for T:

13) Solve the inequality and graph the solution set on a number line:

14) Find the perimeter and area of the described figure. A rectangle with length 11 in. and width 12 in..

15) Graph the following line by making a T table to find 3 points and plotting them.

16) Add, subtract, multiply, and divide the fractions

17) Convert into a mixed fraction

18) Convert into an improper fraction

19) Write 0.13 as a fraction

20) Write as a decimal

21) Convert 0.92 to a percentage

22) Convert 12% to a fraction

23) What is 70% of 200

College Prep Math IISample Questions Solutions

1) -8

2) 1

3) 12

4) -60

5) 15

6) 12

7) b = 1

8) z = 28

9) x = 2

10) P = 10

11) x = 7/4

12) T = D/R

13) z > 1

14) Perimeter 46 inches; Area 132 square inches

15)

16) 11/15; 1/15; 2/15; 6/5

17) 8 1/3

18) 17/5

19) 13/100

20) .60

21) 92%

22) 3/25

23) 140

Oklahoma City Community College

College Prep Math III Sample Questions

  1. Solve for b:
  2. Solve for x:
  1. Graph the answer on the number line:
  2. Give the answer in interval notation
  1. Find the slope between the points:
  2. Find the x-intercept, written as an ordered pair, for the line
  3. Find the slope and y-intercept for the line:
  1. slope =b. y-intercept =
  1. For , find .
  2. Find the product:
  3. Find the product (the solution is a polynomial):
  4. Rewrite as a rational expression (fraction) using only positive exponents.
  1. Factor out the greatest common factor of
  2. Solve the factored equation:
  3. Factor:
  1. Simplify the rational expression by cancelling common factors:
  2. Write answer in lowest terms: (write answer in factored form)
  3. Solve for x:
  4. A 75 inch piece of steel is cut into 3 pieces so that the second piece is twice as long as the first, and the third piece is one inch more than five times the length of the first piece. Which equation models this problem? (Chose the correct equation)
  1. c.
  2. d.
  1. Solve the simple interest formula for T:
  2. A used car dealership reduces the price of a car by 8%. If the price before the discount was $18,500, find the sale price of the car.
  3. Suppose the function predicts the price in dollars of a pound of apples x years after the year 2000. Interpret the meaning of
  1. In the year 2000, 14 apples will cost 175% more.
  2. In the year 2000, 14 apples will cost $1.75.
  3. In the year 2014, a lb. of apples will cost $1.75.
  4. In the year 2014, a dozen apples will cost $1.75.
  1. If 1 ft. = 12 in. and 60 sec. = 1 min. Convert 50 to the equivalent speed in

College Prep Math III Sample Questions Solutions

  1. b = 1
  2. a)

b)

a.

b.

  1. or
  2. 17020 dollars
  3. C

Oklahoma City Community College

College Prep Math IV Sample Questions

College Prep Math IV Course Description

The student will solve systems of equations by graphical and algebraic methods; solve equations involving quadratic functions and analyze graphs; and model applications using linear and quadratic functions. In addition the student will apply math study skills throughout the course.

1) Find three ordered pair solutions. Then use the ordered pairs to graph the equation: y = 4x + 5

2) Write an equation of the line with the given slope, m, and y-intercept (0, b): m = ½, b = 2

3) Find the slope of the line: 5x + y = 11

4) Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C. m = 6; (4, 9)

5) Find the domain and the range of the relation: {(9, 4), (-9, 0), (-2, -2), (11, -9)}

6) Determine whether the ordered pair is a solution of the system of linear equations: (1, -5);

7) Solve the system of equations.

8) Solve the system of equations.

9) Determine whether the graph is the graph of a function.

10) Determine whether the graph is the graph of a function.

11) University Theater sold 438 tickets for a play. Tickets cost $24 per adult and $10 per senior citizen. If total receipts were $6298, how many senior citizen tickets were sold?

12) Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

13) Solve: = 4

14) Use the Pythagorean Theorem to find the unknown side of the right triangle.

15) Use radical notation to write the expression. Simplify if possible:

16) Use the quadratic formula to solve the equation: x2+ 14x + 35 = 0

17) A ball is thrown upward with an initial velocity of 28 meters per second from a cliff that is 90 meters high. The height of the ball is given by the quadratic equation where h is in meters and t is the time in seconds since the ball was thrown. Find the time it takes the ball to hit the ground. Round your answer to the nearest tenth of a second.

18) Sketch the graph of the quadratic function. Give the vertex and axis of symmetry: f(x) = (x - 5)2+ 2

College Prep Math IV Sample Questions Solutions

1)

2) y =x + 2

3) m =-5

4) 6x - y = 15

5) domain: {-9, -2, 9, 11} ; range: {-9, -2, 0, 4}

6) No

7) (5, 19)

8) (6, 9)

9) Yes

10) No

11) 301 senior citizen tickets

12)

13) 11

14)

15) 16

16) - 7 -, - 7 +

17) 8.0 sec

18) vertex (5, 2); axis x = 5