- 1. What is the process of finding the factors of an expression which is the reverse process of multiplication?
A) Rational Algebraic Expression
B) Division
C) Factoring
D) Factory
E) Equation
- 2. What is the Greatest Common Factor of 12 and 24?
A) 8
B) 4
C) 10
D) 6
E) 12
- 3. What is the complete factored form of 9x3-64y3
A) (3x-4y)(9x2+12xy-16y2)
B) (3x+4y)(9x2+12xy+16y2)
C) (3x-4y)(9x2-12xy+16y2)
D) (3x-4y)(9x2+12xy+16y2)
E) (3x+4y)(9x2+12xy+16y2)
- 4. The area of a rectangular garden is 9t2-64 square units. if one side is 3t-8, what is the other side?
A) (3t-8)
B) (t+8)
C) (3t+8)
D) (-3t-8)
E) (-3t+8)
- 5. The square of a number equals five times that number. Find the number.
A) 3
B) 6
C) 2
D) 5
E) 4
- 6. Find the number if one hundred less than the square of a number equals zero.
A) 10
B) 1
C) 5
D) 100
E) 1000
- 7. What is the measure of one side of the square if its area is x2-22x+121?
A) x
B) 11-x
C) 11x
D) x+11
E) x-11
- 8. The area of the floor of a rectangular room is 84 square feet. The length of the room is 5 feet more than its width. Find the width and length of the room.
A) l=12; w=7
B) l=12; w=12
C) l=7; w=12
D) l=7; w=7
E) A=12; w=7
- 9. Which of the following terms is described as "the ratio of two polynomial expressions"?
A) Rational Algebraic Expression
B) Rational Algebraic Equation
C) Irrational Algebraic Expression
D) Ration Algebraic Equation
E) Rational Algebra Expression
- 10. In a rational algebraic expression written in the form of P/Q, where P and Q are polynomials, the polynomial Q must not be equal to _______
A) 2
B) -2
C) 0
D) -1
E) 1
- 11. Which of the following represents the phrase βThe ratio of thrice the difference of twice π₯ and thrice π¦ to the difference of thrice π₯ and π¦β?
A) 3(2x-3y)/3(x+y)
B) 3(2x-3y)/3(x-y)
C) 3(2x-3y)/3(xy)
D) 3(2x+3y)/3(x-y)
E) 3(2x-3y)-3(x-y)
- 12. The formula for finding the area of a rectangle is π΄ = ππ€, where π is the length and π€ is the width of the rectangle. What is the formula in finding the length (π) of the rectangle given its area (π΄)?
A) l=A-w
B) l=A*w
C) l=w/A
D) l=A/w
E) l=A+w
- 13. Simplified form of the rational expression of x+5/5+x
A) 0
B) 2
C) 1
D) -1
E) 10
- 14. In the rational algebraic expression x2-1/1-2x+x2, what factor is common to both numerator and denominator?
A) x+1
B) x2-1
C) x-2
D) -1-x
E) x-1
- 15. Simplest form of a2-1/1-a2
A) 1/2
B) -1/2
C) 0
D) -1
E) 1
- 16. What is the correct rational expression of the phrase "the quotient of 2x and 3y"?
A) 3y/2x
B) 2y/3x
C) x/3y
D) -2x/3y
E) 2x/3y
- 17. Write the verbal phrase into rational algebraic expression: "the average speed in x2+7 kilometers traveled in x-2 hours".
A) x2+7/x-2
B) (x2+7)(x-2)
C) x2+7+x-2
D) x2+7-x-2
E) x2+7/x+2
- 18. It took six hours for Danny to clean the attic while Piolo took twelve hours to do the same job. If Danny and Piolo worked together, how long had it took them to complete the job?
A) 3
B) 5
C) 4
D) 2
E) 6
- 19. The point (9, β1) is an example of______.
A) coordinates
B) axis
C) asymptote
D) pair
E) coordination
- 20. Given the equation 13 β 7π¦ = 4π₯, what is the value of the coefficient π΄?
A) 13
B) -4
C) 7
D) 4
E) 1
- 21. What will be the value of B in the equation 3x-By=15 if x=4 and y=3?
A) -1
B) 1
C) 15
D) 3
E) -1/2
- 22. If written in standard form, what are the values of A, B, and C in the equation 2x=4(-y+5)?
A) A=2, B=-4, C=20
B) A=-2, B=4, C=20
C) A=2, B=4, C=-20
D) A=20, B=4, C=2
E) A=2, B=4, C=20
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