Maths Quiz For Class 9

This is a beautiful Maths quiz for class 9. Mathematics can come across as merely a series of numbers, letters, and problems all put together to ruin your day for those uninterested in the subject. Still, the study is highly...

Questions: 24  |  Attempts: 58813   |  Last updated: Jul 23, 2021

• Sample Question

A is 40% of B. What percentage is B of A?

Grade 9 Science Quiz; Are you a ninth-grader and have a hard time with your science classes? Worry no more, as the quiz below is perfect for helping you revise all that we have covered. Give it a shot and keep an eye out for more...

Questions: 30  |  Attempts: 23277   |  Last updated: Jul 15, 2021

• Sample Question

When is an atom stable?

Can you beat this Grade 9 Chemistry Quiz? Atoms are the smallest and main building blocks of ordinary matter, and they join together to form molecules that make the objects around us. In 9th grade chemistry, we got to dive deeper...

Questions: 10  |  Attempts: 22016   |  Last updated: Aug 24, 2021

• Sample Question

Elements consist of single type of atom.

## Grade 9 Algebra Word Problems

Related Pages
Algebra Word Problems
Solving Equations
More Algebra Lessons

Age Problems with two unknowns or variables

Example:
Taylor is five times as old as Spenser. The sum of their ages is eighteen. How old are Taylor and Spencer?

Solution:
Let x represent Spenser’s age
Therefore, Taylor’s age is 5x
x + 5x = 18
6x = 18
x = 3
Therefore, Spenser is 3 years old and Taylor is 15 years old.

Grade 9 Algebra Word Problems - Age

Example 1:
A mother is three times as old as her daughter. Six years ago, the mother’s age was six tines that of her daughter. How old are they now?

Solution:
Let x represent the daughter’s age.
Therefore, 3x is the mother’s age.
6(x - 6) = 3x - 6
6x - 6 = 3x - 6
3x = 30
x = 10
Therefore, the daughter’s is 10 years old and the mother is 30 years old.

Example 2:
A father is now three times as old as his son. Eight years ago, the father was five times as old as his son. How old are they now?

Grade 9 Algebra Word Problems - Rate, Distance, Time

Example:
A bus leaves the terminal and averages 40 km/hr. One hour late, a second bus leaves the same terminal and averages 50 km/hr. In how many hours will the second bus overtake the first?

Grade 9 Rate, Distance, Time Word Problems

Example 1:
One motorist travels 5 km.hr faster than another. They leave from the same place and travel in opposite directions. What is the rate of each if they are 195 km apart after 3 hours?

Example 2:
A pilot flew from airport A to airport B at a rate of 100 km/hr and flew back from airport B to airport A at 120 km/hr. The total time it took was 11 hours. How far is it from airport A to airport B?

Grade 9 Algebra Word Problems - Coins

Example:
A coin collection amounting to \$25 consists of nickels and dimes. There are 3 times as many nickels and dimes. There are 3 times as many nickels as dimes. How many coins of each kind are there?

Solution:
Let x = number of dimes
3x = number of nickels
10x + 5(3x) = 2500
25x = 2500
x = 100
Therefore, there are 100 dimes and 300 nickels.

Grade 9 Coin Algebra Word Problems

Example:
Mr. Rogers has \$4.62. He has 3 times as many dimes as nickels and 6 more pennies than dimes. How many coins of each kind does he have?

Coin Algebra Word Problems - Grade 9

Example:
Bob has in his pocket a number of pennies, 5 times as many nickels as pennies and 5 more quarters than pennies. The coins amount to \$2.27. Find the number of each kind of coin.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

### Questions

1. Simplify the following algebraic expressions.

1. - 6x + 5 + 12x -6
2. 2(x - 9) + 6(-x + 2) + 4x
3. 3x2 + 12 + 9x - 20 + 6x2 - x
4. (x + 2)(x + 4) + (x + 5)(-x - 1)
5. 1.2(x - 9) - 2.3(x + 4)
6. (x2y)(xy2)
7. (-x2y2)(xy2)

2. Simplify the expressions.

1. (a b2)(a3 b) / (a2 b3)
2. (21 x5) / (3 x4)
3. (6 x4)(4 y2) / [ (3 x2)(16 y) ]
4. (4x - 12) / 4
5. (-5x - 10) / (x + 2)
6. (x2 - 4x - 12) / (x2 – 2x – 24)

3. Solve for x the following linear equations.

1. 2x = 6
2. 6x - 8 = 4x + 4
3. 4(x - 2) = 2(x + 3) + 7
4. 0.1 x - 1.6 = 0.2 x + 2.3
5. - x / 5 = 2
6. (x - 4) / (- 6) = 3
7. (-3x + 1) / (x - 2) = -3
8. x / 5 + (x - 1) / 3 = 1/5

4. Find any real solutions for the following quadratic equations.

1. 2 x2 - 8 = 0
2. x2 = -5
3. 2x2 + 5x - 7 = 0
4. (x - 2)(x + 3) = 0
5. (x + 7)(x - 1) = 9
6. x(x - 6) = -9

5. Find any real solutions for the following equations.

1. x3 - 1728 = 0
2. x3 = - 64
3. sqrt(x) = -1
4. sqrt(x) = 5
5. sqrt(x/100) = 4
6. sqrt(200/x) = 2

6. Evaluate for the given values of a and b.

1. a2 + b2 , for a = 2 and b = 2
2. |2a - 3b| , for a = -3 and b = 5
3. 3a3 - 4b4 , for a = -1 and b = -2

7. Solve the following inequalities.

1. x + 3 < 0
2. x + 1 > -x + 5
3. 2(x - 2) < -(x + 7)

8. For what value of the constant k does the quadratic equation x2 +2x = - 2k have two distinct real solutions?
9. For what value of the constant b does the linear equation 2x + by = 2 have a slope equal to 2?
10. What is the y intercept of the line -4x + 6y = -12?
11. What is the x intercept of the line -3x + y = 3?
12. What is point of intersection of the lines x - y = 3 and -5x - 2y = -22?
13. For what value of the constant k does the line -4x + ky = 2 pass through the point (2,-3)?
14. What is the slope of the line with equation y - 4 = 10?
15. What is the slope of the line with equation 2x = -8?
16. Find the x and y intercepts of the line with equation x = - 3?
17. Find the x and y intercepts of the line with equation 3y - 6 = 3?
18. What is the slope of a line parallel to the x axis?
19. What is the slope of a line perpendicular to the x axis?
Solutions and detailed explanations to the above questions.

### Answers to the Above Questions

1. 6x - 1
2. - 6
3. 9x 2 + 8 x - 8
4. 3
5. -1.1x - 20
6. x3y3
7. - x3y4

1. a2
2. 7x
3. (1/2)x2y
4. x - 3
5. -5
6. (x + 2)/(x + 4)

1. x = 3
2. x = 6
3. x = 21/2
4. x = -39
5. x = -10
6. x = -14
7. no solution
8. x = 1

1. solution set {-2,2}
2. no real solutions
3. solution set {1,-7/2}
4. solution set {2,-3}
5. solution set {2,-8}
6. solution set {3}

1. x = 12
2. x = -4
3. no solutions
4. x = 25
5. x = 1600
6. x = 50

1. Evaluate for the given values of a and b.

1. 8
2. 21
3. -67

1. x < -3
2. x > 2
3. x < -1

2. k < 1/2
3. b = -1
4. (0 , -2)
5. (-1 , 0)
6. (4 , 1)
7. k = -10/3
8. slope = 0
9. The slope is undefined
10. x - intercept: (-3,0) , no y - intercept.
11. no x - intercept , y - intercept: (0 , 3)
12. slope = 0
13. The slope is undefined.

Want to measure your 9th-grade student’s knowledge of Math concepts and assess their exam readiness? If so, then look no further. Here is a comprehensive collection of FREE printable 9th grade Math worksheets that would help students in 9th Grade Math preparation and practice.

Hope you enjoy it!

IMPORTANT: COPYRIGHT TERMS: Worksheets may not be uploaded to the internet in any form, including classroom/personal websites or network drives. You can download the worksheets and print as many as you need. You have permission to distribute the printed copies to your students, teachers, tutors, and friends.

You Do NOT have permission to send these worksheets to anyone in any way (via email, text messages, or other ways). They MUST download the worksheets themselves. You can send the address of this page to your students, tutors, friends, etc.

### Solid Figures

Looking for the best resource to help you succeed on the Algebra I test?

### "9th Grade Math Worksheets" Tags

Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.

The liquid did not glow, but in the dim light of the lantern it looked quite mysterious. - Let's try. I recommend it only with my tongue, so as not to get a shock.

Year 9 and 10 - Solving Linear Equations

Then she screamed and jerked her backside like mad. Orgasm covered her with a hot, sweet wave. Juice sprinkled from her squeak.

### Now discussing:

Without giving me time to recover, she threw my legs over her shoulders, leaning with her whole mass, and began to poke her huge club into. My ass. I tried to resist, but Vera was clearly stronger, freeing one hand, she hit me hard in the face. - Resist the slut, I love it when they resist - she said in a very hoarse voice.

756 757 758 759 760