Benchmark 3 Review Honors Accelerated
Name:___________________________
Date:____________________________
1. Solve this equation for y. (Put in function form.) 10x – 2y = 14
2. What is the distance between these two points on the coordinate plane? (2, 3) and (-5, 3)
3. Find the volume of the ball with a radius of 8 inches. V=
4. What is the value of b?
5. Find the volume of the cone:
Radius= 3 inches
Height= 6 inches
6. Solve -3x + 2y = 14 for y
7. Write an equation to describe the graph:
8. Graph the following equation: 5x + 4y =12
9. What is the total cost of a phone call that lasts 30 minutes, according to the graph?
10. Which of these sets of sides would form a right triangle?
A. 5, 12, and 13
B. 8, 10, and 15
C. 3, 4, and 6
D. 4, 8, and 10
11. Find the volume of the cylinder. The diameter is 12 ft. Use 3.14 for Π.
12. A ladder is leaning against a house. The top of the ladder touches the side of the house at 10 feet.
The ladder is 12 feet long. How far away from the house is the bottom of the ladder?
13. Find the volume of a cylinder: radius = 12 cm
14. What is the distance between these
two points?
height = 9 cm
15. Write the following linear equation in function
form:
8x – 4y = 20
16. Graph the following function:
y = 3x
17. The cone has a radius and 4 cm and a slant height of 5 cm.
What is the height of the cone? What is the volume using
3.14 for Π? If the height of the cone were 3 cm taller, how
would the volume of the new cone compare with the original
figure?
18. Find the slope of the line:
19. Find the slope of the line passing through the points (2, 10) and (8, 7).
20. What is the slope of a line parallel to 2x + 3y = 6?
2
21. Write an equation with the given slope and y-intercept. Slope = 3 y-intercept = -4
22. Find the slope of the line passing through the points (4, -2) and (4, 3).
4
23. Graph the function: y = 3 x – 2
24. What is a function?
25. Which relation is a function?
A. { ((1,3) (2,4) (3,4) (4,5) }
B. { (1,3) (2,3) (1,4) (3,5) }
C. { (10,5) (8,4) (10,2) (6,0) }
D. { (4,5) (6,12) (8,10) 8,12) }
26. There are 24 items per package. Complete the table.
Package
1
2
No. of Items
24
48
3
27. Which mapping defines a relation that is NOT a function?
A.
B.
C.
2
1
2
3
0
1
2
2
3
4
4
D.
2
4
6
6
28. Draw a graph that represents a linear function
and one that does NOT represent a linear
function.
29. Find the slope and y-intercept of the line with the given equation and graph it.
5x + 10y = -40
-1
0
1
2
3
4