Math problem solver can guide you to solve similar types of question. If you have any question which you find difficult to solve then you can fillup the below comment box to to convey your message, so that math problem solver can help you.
1. Name the quadrant, if any, in which each point is located.
(a) (3, 6)
(b) (7, 5)
Solution:
(a) (3, 6)  II Quadrant.
(b) (7, 5)  IV Quadrant.
2. Complete the table for the given equation and graph the equation;
x + 2y = 5
Solution:
x + 2y = 5
Put the value of x = 0 in the equation x + 2y = 5
0 + 2y = 5
2y = 5
2y/2 = 5/2
y = 5/2
(0, 5/2)
Put the value of y = 0,
x + 2 × 0 = 5
x = 5
(5, 0)
Put the value of x = 2,
2 + 2y = 5
2 – 2 + 2y = 5  2
2y = 3
2y/2 = 3/2
y = 3/2
(2, 3/2)
Put the value of y = 2,
x + 2 × 2 = 5
x + 4 = 5
x + 4 – 4 = 5 – 4
x = 1
(1, 2)
3. Complete the table for the given equation and graph the equation;
6x5y=30
Solution:
6x5y=30
Put the value of x = 0 in the equation 6x  5y = 30.
6 × 0  5y = 30
5y = 30
5y/5 = 30/5
y = 6
(0, 6)
Put the value of y = 0,
6x  5 × 0 = 30
6x = 30
6x/6 = 30/6
x = 5
(5, 0)
Put the value of x = 3,
6 × 3  5y = 30
18  5y = 30
18 – 18 – 5y = 30 – 18
5y = 12
5y/5 = 12/5
y= 12/5
(3, 12/5)
Put the value of y = 2,
6x – 5(2) = 30
6x + 10 = 30
6x + 10 – 10 = 30 – 10
6x = 20
6x/6 = 20/6
x = 10/3
(10/3, 2)
4. Find the xand yintercepts of the following equations.
2x + 3y = 12
Solution:
2x + 3y = 12
Put the value of x = 0
2 × 0 + 3y = 12
3y = 12
3y/3 = 12/3
y = 4
Therefore, yintercept = (0, 4)
Now, put the value of y = 0
2x + 3 × 0 = 12
2x = 12
2x/2 = 12/2
x = 6
Therefore, xintercept = (6, 0)
5. Find the xand yintercepts of the following equations. x + y = 2
Solution:
x + y = 2
Put the value of x = 0
0 + y = 2
y = 2
Therefore, yintercept = (0, 2)
Put the value of y = 0
x + 0 = 2
x = 2
Therefore, xintercept = (2, 0)
6. Find the midpoint of each segment with the given endpoints.
(10, 4) and (7, 1)
Solution:
(10, 4) and (7, 1)
Midpoint = [(x_{1} + x_{2})/2, (y_{1} + y_{2})/2]= [(3 + 6)/2, (6 + 3)/2]
= (9/2, 3/2)
Answer: (9/2, 3/2)
8. Decide whether the lines are parallel, perpendicular or neither.
x + 4y = 7 and 4x – y = 3
Solution:
x + 4y = 7
4y = x + 7
y = (1/4) x + 7
Slope of the equation x + 4y = 7 is 1/4.
Again, 4x – y = 3
y = 4x – 3
Slope of the equation 4x – y = 3 is 4.
Since multiplying both the slope of the equation = 1/4 × 4
= 1
Therefore, the given two equations are perpendicular to each other.
Answer: Perpendicular
9. The ship has coordinates (2,3) the equation of the other line is x+y=2 find the shortest distance from the ship to the line.
x + y = 2
x + y – 2 = 0
Distance from (2, 3) to the line x + y – 2 = 0
13. Simplify: 5  2 [8  (2 x 2  4 x 4)]
Solution:
5  2 [8  (2 x 2  4 x 4)]
= 5  2 [8  (4  16)]
= 5  2 [8  (12)]
= 5  2 [8 + 12]
= 5  2 [20]
= 5 – 40
= 35
Answer: 35
14. Fill in the blank:
(a) The point with coordinates (0,0) is called ........of a rectangular coordinate system.
(b) To find the xintercept of a line, we let....equal 0 and solve for
......; to find yintercept, we let ......equal 0 and solve for.......
Solution:
(a) The point with coordinates (0,0) is called origin of a rectangular coordinate system.
(b) To find the xintercept of a line, we let y equal 0 and solve for x ; to find yintercept, we let x equal 0 and solve for y .
15. Name the quadrant, if any, in which each point is located.
(a) (1, 6)
(b) (4, 2)
Solution:
(a) (1, 6)  I Quadrant.
(b) (4, 2)  III Quadrant.
16. A restaurant meal for a group of people cost $85 total. This amount included a 6% tax and an 18% tip, both based on the price of the food. Which equation could be used to find f, the cost of the food?
A. 85 = 1.24f B. 85 = 0.24c C. 85 = 1.06f + 0.18 D. 85 = f + 0.24
17. Three friends share the cost of a pizza. The base price of the pizza is p and the extra toppings cost $4.50. If each person’s share was $7.15, which equation could be used to find p, the base price of the pizza?
A. 7.15 = 3p  4.50
B. 7.15 = 1/3(p + 4.50)
C. 7.15 = 1/3p + 4.50
D. 7.15 = 3(p + 4.50)
Answer: B. 7.15 = 1/3(p + 4.50)
18. A tile setter is joining the angles of two tiles, A and B, to make a 90degree angle. The degree measure of Angle A can be represented as 3y + 2 and of Angle B as 5y. Which equation represents this situation?
A. 90 = 3y +2 – 5y B. 3y + 2 = 90 + 5y C. 90 = 8y + 2 D. 5y + 2 = 90 + 3y
Answer: C. 90 = 8y + 2
19. Onefourth of the distance between two cities is 100 miles less than
twothirds the distance between the cities. Which equation expresses
this situation?
1/4d  100 = 2/3d ,
1/4d = 2/3d 100,
1/4d = 2/3d +100,
1/4d  2/3d = 100
Answer: 1/4d = 2/3d 100
20. What value of b makes the equation that follows true?
x^{2} + bx – 35 = (x + 5)(x – 7)
A. 2 B. 12 C. 2 D. 12
Answer: A.
2
● Math Questions Answers
● Help with Math Problems
● Answer Math Problems
● Math Problem Solver
● Math Unsolved Questions
● Math Questions
● Math Word Problems
● Word Problems on Speed Distance Time
● Algebra Word Problems – Money
Math Problem Answers Index
From Math Problem Solver to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.