1.
1. What is the ninth term in this sequence?5, 14, 23, 32, .....
Correct Answer
C. C. 77
Explanation
The pattern is add nine. Continue to add nine to each term until you have nine numbers.
5, 14, 23, 32, 41, 50, 59, 68, 77
2.
2. In this diagram line a is parallel to line b, and line t is a transversal. Which pair of angles are corresponding angles?
Correct Answer
D. D. angle 2 and angle 6
Explanation
Corresponding angles are angles that are in the same position on each of the parallel lines. Angle 2 and angle 6 are both above and right of the parallel lines and transversal. Other corresponding angle pairs are: 1 and 5, 3 and 7, and 4 and 8.
3.
3. This drawing shows how to ....
Correct Answer
A. A. construct a perpendicular to a line segment through a point on the segment.
Explanation
Looking at the picture, the lines are perpendicular (at right angles). So answers b and d are wrong. The lines are not bisecting eachother because R is not the midpoint of the horizontal segment. So answer a is the correct answer.
4.
4. A circle has a diameter of 12 inches. Which is the best estimate of the area of the circle?
Correct Answer
C. C. 113 square inches
Explanation
The area of a circle is pi times radius squared. Since the diameter is 12, the radius is 6. The radius squared is 36. Pi (3.14) times 36 is closest to answer C.
5.
5. The table below shows the distance in kilometers between some towns. How much farther is it from Edgertown to Parker than from Aurora to Broomfield?
Correct Answer
B. B. 3.7 kilometers
Explanation
Looking on the table, Edgertown to Parker is 8.4 km, and Aurora to Broomfield is 4.7 km. "How much farther..?" means subtract.
6.
6. Identify the hypotenuse of this right triangle.
Correct Answer
A. A. side PR
Explanation
The hypotenuse of a right triangle is the side that doesn't touch the right angle (PR). Sides PQ and RQ meet to form the right angle, so they are the legs of the triangle.
7.
7. What is the area of this figure?
Correct Answer
B. B. 45 square units
Explanation
The area of a triangle is one-half times base times height. The top of the figure is a 3 x 6 triangle, so the area is 1/2(3 x 6) = 9. The left and right sides of the figure are 3 x 4 triangles. Each has an area of 1/2(3 x 4) or 6. The center of the figure is a 6 x 4 rectangle, which has an area of 24. Add all the parts: 9 + 6 + 6 + 24 = 45.
8.
8. This scatterplot compares the height and weight of 9 elementary school students. What conclusion can you draw from this scatter plot?
Correct Answer
A. A. As height increases, so does weight.
Explanation
The scatterplot shows a positive correlation between height and weight. As the height of the students increases, their weight also tends to increase.
9.
9. What is the total number of outcomes of drawing a card from a deck of 10 different cards, flipping a coin, and rolling a number cube?
Correct Answer
C. C. 120
Explanation
The fundamental counting principle says to multiply the number of outcomes for each event. So 10 x 2 x 6 = 120.
10.
10. Which of the following best describes this graph?
Correct Answer
B. B. nonlinear
Explanation
Linear means a straight line, and nonlinear means everything but a straight line. Answers c and d don't make sense. Since the parabola is curved, it is nonlinear.
11.
11. In this diagram, line a is parallel to line b, and line t is a transversal. If the measure of angle 8 = 41 degrees, what is the measure of angle 1?
Correct Answer
A. A. 41 degrees
Explanation
Angles 1 and 8 are alternate exterior angles, so they are congruent (equal).
12.
12. Which of the following shows 7.4 x 10^{-4} in standard notation?
Correct Answer
C. C. 0.00074
Explanation
The number 7.4 x 10-4 in standard notation is equivalent to 0.00074. In scientific notation, the number is written as 7.4 multiplied by 10 raised to the power of -4. To convert it to standard notation, we move the decimal point four places to the left, resulting in 0.00074.
13.
13. This year Lucy joined a mail order book club. She paid a basic membership fee of $7.50. Each book she bought cost $4.95. If n stands for the number of books she has bought through the club, which expression shows the total amount she has spent in the book club?
Correct Answer
C. C. $7.50 + $4.95n
Explanation
The expression $7.50 + $4.95n represents the total amount Lucy has spent in the book club. The $7.50 represents the basic membership fee that she paid, which is a fixed cost. The $4.95n represents the cost of each book she bought, multiplied by the number of books she has bought (n). So, adding the fixed cost and the variable cost gives the total amount spent in the book club.
14.
14. Which linear equation corresponds to this graph?
Correct Answer
B. B. y = x - 3
Explanation
The y-intercept is - 3. The line is going up one, over one, so the rise over run is 1/1 or 1. You don't need to write the 1 in front of the x.
15.
15. Harvey bought a stereo that cost $325. The sales tax in his state is 6%. How much tax did Harvey have to pay on the stereo?
Correct Answer
B. B. $19.50
Explanation
First you need to change the 6% to a decimal 0.06. Then multiply 0.06 by the price.
16.
16. Ada and Beth met at a corner cafe for lunch. From there, Ada took a bus 5 km north to her house, and Beth took a bus 12 km east to her house. How far is Ada's house from Beth's house?
Correct Answer
B. B. 13 km
Explanation
Since Ada is traveling north and Beth is traveling east, their paths are perpendicular. The distance between the houses would be the hypotenuse of the right triangle. Use the pythagorean thereom to find the distance. Five-squared + 12-squared = hypotenuse squared = 25 + 144 = 169. Then take the square root of 169 = 13.
17.
17. What is the slope of this line?
Correct Answer
A. A. -3/2
Explanation
Slope is the rise over the run. Since the line is pointing down as you go from left to right, the slope is negative. The rise is -3 and the run is 2. So the slope is -3/2.
18.
18. Which expression is the same as (-7 x 8) + (-7 x 2)?
Correct Answer
A. A. -7 x (8 + 2)
Explanation
This problem shows the distributive property in reverse.
19.
19. Which is the best estimate of the volume of a cylinder whose radius is 6 cm and whose height is 8 cm?
Correct Answer
C. C. 904 cubic centimeters
Explanation
The volume of a cylinder is the area of the circular base times the height. The area of the circular base is pi x r-squared = pi x 36 = 113. Then multiply 113 x 8 = 904.
20.
20. Shawna paid $7.40 for 4 gallons of gasoline. At that rate, how much would she pay for 6 gallons of gasoline?
Correct Answer
D. D. $11.10
Explanation
Set up a proportion.
21.
ECR21. Kyle researched the annual budget of his town and discovered that it was 28,600,000 dollars. Part A Write this number in scientific notation.Part BUse what you know about writing numbers in scientific notation to explain why your answer is correct.Suppose Kyle made a mistake and the budget was 10 times as great as the number he recorded. How would you have to change your answer in Part B to show the new number in scientific notation? Explain your steps.