Math 8 ALEKS Review C

Transcription

1 Math 8 ALEKS Review C 2. Write 0.83 as a fraction. 3. Find two consecutive whole numbers that 46 lies between. 4. Write 9 as a decimal Order the following numbers below from least to greatest. 4.4, 17, 4.29, Write an equivalent expression using only one base and one exponent

2 7. 8. Evaluate Tyrone wrote the product shown Select the expressions that are equivalent to Tyrone s expression. 10. Which expression is equal to 16? a. 2 5 a. 3 3 d b. 8 2 b e c c. 27 f d Fill in the table using this function rule. 12. Solve for x. y = -10x + 2 3(x 1) + x = 13 x y

3 13. A marathon runner runs at a constant speed of 7 miles per hour. A distance-time graph for a second runner in the same marathon is shown. 14. Stephen is given two pairs of points on a coordinate plane. He needs to know whether the line connecting one pair of points has the same slope as the line connecting the second pair of points. How could he determine this exactly? a. Draw the lines on the graph and see if they look parallel. b. Make a quadrilateral out of the four points. It it is a parallelogram, then the lines have the same slope. If not, they do not have the same slope. c. Find the difference between the coordinates of the first point, then the difference between the coordinates of the second point. If the results are the same, then the lines have the same slope. d. Treat each pair of lines as two vertices of a right triangle and find the third vertex so that the line between the original pair is the hypotenuse. If the two right triangles are similar, the lines have the same slope. 15. Solve for x. 2 3 x 7 (x 1 2 ) = x

4 16. A plant is already 53 centimeters tall, and it will grow one centimeter every month. Let H be the plant s height (in centimeters) after M months. Write an equation relating H to M. Then use this equation to find the plant s height after 23 months. 17. Find the volume of the cone with a 18. Write the equation of the graph height of 10 in. and a base diameter of below. 6 in. Use 3.14 for π. Do not round. 19. In the figure below, lines l and k are parallel. Suppose the m < 4 = 51 and m < 1 = 81. Give the measures of the following angles and explain. a. m< 2 b. m<5 c. m<3

5 20. Answer the questions about each triangle. 21. What is the equation of this line? 22.

6 23. Solve for x. 24. Solve for x. 0.3x 0.5x 2 = (x + 2) 5 = Jacob and Kenya are both find the slope Jacob uses points P and R and finds of the line in the graph shown. the slope to be m = 6 8. Kenya uses points P and S and finds the slope to be m = Who calculated the slope correctly? 26. Grady and Jean are comparing their gym 27. Solve for x. memberships. Grady s plan costs $55 to -0.5x x + 4 = 3.2 join and $50 per month. Jean s plan costs $85 to join and $35 per month. When will their plans be the same amount? 28. Solve for x. 29. How many solutions does this system of equations have? x + 4 = 2 3 x The system of equations below is graphed What is the solution?

7 A computer software company developed a computer operating system with lines of code and a computer game with lines of code. Compare the lines of code used for the operating system to the lines of code used for the game. a. The game has 50 times more code than the operating system. b. The operating system has 50 times more code than the game. c. The game has 2 times more code than the operating system. d. The operating system has 2 times more code than the game.