Geometry Placement Test

I. Measurement

1)Measure all sides of the polygon in inches to the nearest 1/8-inch.

2) Measure all sides of the polygon in centimeters.

3) Find the measure of Angle x.

4) 4 feet 2 ½ inch5) 5 meters 23 centimeters 45 millimeters

– 1 foot 1 ¼ inch + 2 meters 80 centimeters 70 millimeters

II. Arithmetic skills

1) 2)

3) 4) Evaluate 18 ÷ 6 + 3 – 22 × 0.34

5) Solve . 6) Simplify

7)Simplify .8) Simplify 6 + (– 9)

9)Simplify 17 – ( – 23)10) Express 52,800 in scientific notation.

11) Simplify 12) Find 35 percent of 70.

12)27 is what percent of 90.

III. Patterns

1. In the sequence 2, 6, 11, 17, 24... the eighth term is______.

2. Find the next term in the sequence 3, 9, 21, 39, 63, . . . ______.

3 Find the next term in the sequence 2, 5, 8, 11, 14 . . . and then express the sequence in function notation.

IV. Algebraic Expressions

1. Which equation shows an incorrect use of the distributive property?

A. 2(x + 3) = 2x + 5 B. 3x + 6 = 3(x + 2)

C. 6(x + 4) = 6x + 24D. 5(x + 2) = 5x + 10

2. Evaluate m (5n2– 2p) if m = 6, n = 4, and p = -8.

3. In the equation B + 12 = P, B represents Bob's test score, and P represents Pablo's test score.

Which sentence describes the relationship between the test scores?

A.Bob's test score is 12 points higher than Pablo's.

B.Pablo's test score is 12 points higher than Bob's.

C.Pablo's test score is less than Bob's.

D. There is no relationship between the test scores.

4. Sheila charges x dollars per hour to baby sit. She baby sits 8 hours on Saturday and 5 hours on Sunday. She also receives a $10 tip. Which expression represents the amount of money, in dollars, Sheila earns on Saturday and Sunday?

A. 13(x + 10) B. 13x+ 10 C. 23x D. 10x + 13

5. Write an expression that represents a number that is doubled and then increased by 3?

6. Find (48m6n3 –18m3n) (6m3).

7. Simplify (x + 5)(3x – 9)

8. Simplify (6m4+ 3m3– 2m2) – (2m3– 8m2+ 11).

9. Simplify

V. Algebra equations

1) Solve the equation 3x + 4(x + 1) = 5x – 8.2) Solve

3) Solve 4) Solve 2(x – 3) + 5 = – 3 (x – 1).

5) Solve for z

VI. Algebra concepts

1)If f(x) = 3x – 7, find f( – 3).

2) Factor k2+ 5k – 24.

3)Factor

4. The graph below shows the relationship between the speeds of Car A and Car B.

Choose the sentence that best describes the relationship.

A. The speed of Car A is greater than the speed of Car B.

B. The speed of Car B is greater than the speed of Car A.

C. The speed of Car A is equal to the speed of Car B.

D. There is not enough information to decide.

5. A car is traveling at a constant speed. Which graph represents the distance traveled with respect to time?

VII. Coordinate geometry

  1. Which equation is graphed below?

A. y = 2B. x = 2 C. y = x + 2 D. y = – x + 2

  1. If a line passes through the point at (0,2) and has a slope of 4, what is the equation of the line?

A. x = 2y + 4 B. x = 4y + 2 C. y = 4x + 2D. y = 2x + 4

  1. Which ordered pair is a solution of the system y = x + 3 and 3y + x = 5?

A. (1, 4) B. (2, -1) C. (5, 0) D. (-1, 2)

  1. Find the slope of the line passing through the pair of points (4, – 6) and (9, – 10).
  1. Find the x-intercept and y-intercept of the graph of the equation x – 2y = 7.

VII. Geometry

For Questions 1 and 2, refer to the circle at the right.

  1. What is the approximate circumference?
  1. Find the area to the nearest square centimeter.
  1. The radius of a circle is 6 feet. What is the diameter

of the circle?

  1. Find the hypotenuse of the right triangle.
  1. Find the perimeter of the right triangle.