8/2/2019 Math Reviewer 3rd Term(Q&A)

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Math Reviewer 3rdTerm (Q&A) (70 pts.)

Addition, Subtraction, Multiplication and Division of Polynomials: (6 pts.)

1. 4x^2+3x-6+5x^2(10x+2)-6x^3+192. (2x^2+5)(x+10)3. (2x^3+5x^2+3)(x^2+1)4. (5x^2+x) divided by (x+1)5. (8x^6+2x^4+9x^2+6x+5) divided by (x+2)6. Solve for k. (8x^2+10kx-7k+6) divided by (x+1)

Factoring: (6 pts.)

1. (x^16-256)2. (x^729+27)3. (4x^2+6x+9)4. (x^2-17x-60)5. (3x^2+27x+54)6. 5xy+25x^2+y^2+5yx-16x^4

First Degree Equations and Inequalities: (6 pts.)

1. 15x+34=6x-662. Convert to fraction. 0.156891534 (no need to be in simplest form)3. d= (5y+4)/(y-7) Solve for y.4. x>5x+7890-3x6. 100x>6x+50>7x

Systems of Linear Equations: (17 pts.)

1. x+y=50, 2y+10x=10 (4 pts.)2. x+y+z=62, 100x+y+50z=20, x-y-z=122 (4 pts.)3. 10x+y-z=7, x+y-2z=-32, 15x-y+z=1 (4 pts.)4. 1/x+2/y+3/z=44, 3/x+1/y+2/z=14, 1/x+1/y-5/z=-78 (5 pts.)

8/2/2019 Math Reviewer 3rd Term(Q&A)

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Word Problems: (5 pts. Each)

1. The sum of the digits of a three-digit number is 20. Twice the hundreds digit isthe ones digit. Half the tens digit is the hundreds digit. What is the digit?

2. Josephs age 15 years from now is 5 times Josephines age 3 years ago.Josephines age 12 years from now is 5 times Josephs age 6 years ago. What

are their ages?

3. The side of a square is 8 cm more than the side of another square. The areas ofthe squares differ by 80 cm. What is the area and the sides of the squares?

4. Ramon invested a certain amount of money at a bank at 10% and anotheramount of money at 8%. He gains Php 3000 every year. If he switches the

amount of money invested at each rate he gets Php 6000. How much money

does he invest in each rate?

5.A 40% sodium chloride solution is added to a 10% solution and they make a35% solution. When 20L of water are added to each solution they make a 15%solution. How many liters of water are there in each solution?

6.A bus and a car are 100km apart when they go into the direction closer to thebus the car catches up to the bus in 3 hours. If they go into the direction closer

to the car the distance between them would become 200km in 1 hour.

7. Two pipes were installed in a water tank. One pipe is an inlet pipe and the otheras a multi-purpose pipe. When both pipes are used to fill-up the tank it takes 3

hours to fill up 5/6 of the tank. Sometimes, the operator makes a mistake and

lets the multi-purpose pipe function as a drain pipe, in this case, it takes 8 hours

to fill-up 7/12 of the tank. How long would it take for each pipe to fill-up the tankalone?

Bonus: Quadratic Equation (+5 pts.)

What is/are the value/s of x? x^2+15x-90