8th Grade Practice Msa

Looking on the table, Edgertown to Parker is 8.4 km, and Aurora to Broomfield is 4.7 km. "How much farther..?" means subtract.

The scatterplot shows a positive correlation between height and weight. As the height of the students increases, their weight also tends to increase.

Set up a proportion.

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.

Angles 1 and 8 are alternate exterior angles, so they are congruent (equal).

First you need to change the 6% to a decimal 0.06. Then multiply 0.06 by the price.

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.

This problem shows the distributive property in reverse.

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.

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.

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

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.

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.

The fundamental counting principle says to multiply the number of outcomes for each event. So 10 x 2 x 6 = 120.

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.

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.

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.

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.

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.

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.