Worksheet B: KMA 8th Grade:

KANSAS MATH ASSESSMENT prep Name______

For the following questions you do not need to restate the questions, but you do need to show your work on all that work is possible for (be certain to indicate how you knew the answer).

1.  (3.1.a1) Yao looked at a map where 1 centimeter (cm) represented 3.5 miles (mi). On the map the distance from her city to Chicago was 0.7 cm. Rounded to the nearest tenth of a mile, how many miles is her city from Chicago?

a. 2.54 mi

b. 5 mi

c. 2.5 mi

d. 0.2 mi

2. (3.1.a1) Fred drew two similar figures on his paper. The figures, with some of the dimensions, are shown below. What is the length of side x? (Note that the figures are not drawn to scale.)

3. (3.1.a1) Abe is preparing a scale drawing of a office building. The drawing of the building is 9.5 inches high while the actual height of the building is 114 feet. Which scale could have been used for the building?

a. 1 inch : 12 feet

b. 0.5 inch : 24 feet

c. 3 inches : 5 feet

d. 1 foot : 1.5 feet

4. (3.1.a1) In the figure, ABC ~ EDC. Find AB, the distance across the river.

5. (3.4.k1) The graph of the equation y = -2x + 3 is shown below. Which point is NOT a solution of the equation?

a. (1.5, 0)

b. (-1,1)

c. (1,1)

d. (3,-3)

6. (3.4.k1) The point (5,-2) lies on the graph of a line. Which statement about the ordered pair (5,-2) is true?

a. It is the x-intercept of the line.

b. It is the y-intercept of the line.

c. The slope is 5/-2.

d. It is the only solution of the equation that describes the line.

e. It is one of many solutions of the equation that describes the line.

7. (3.4.k1) The graph of a vertical line is shown below. Which ordered pair is a solution of the e quation that describes the line?

a. (x,0) where x is any real number.

b. (x,2) where x is any real number.

c. (0,y) where y is any real number.

d. (2,y) where y is any real number.

8. (3.4.k1) Write the equation of the line on the graph at right.

9. (1.2.k2) The number k is a perfect square. Is the square root of k rational or irrational? Explain.

10. (2.2.a1) Billy Joe buys a CD discounted 10% from its original price, and spends $9.00 for it. Which equation could be used to find the original price of the CD.

a. .10x = 9 b. x - .10x = 9 c. x + .10x = 9 d. x - .10 = 9

11. (2.2.a1) Richard planted 4 times as many acres this week as he did last week. He planted 62.5 acres this week. Which expression can be used to determine the total number of acres planted in two weeks?

a. 62.5/4 + 62.5 b. (62.5 x 4) + 62.5 c. (62.5/4)2 d. 62.5 x 4