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1108 ALGEBRA I (PACE) EXAM QUESTIONS AND ANSWERS, Exams of Algebra

1108 ALGEBRA I (PACE) EXAM QUESTIONS AND ANSWERS

Typology: Exams

2024/2025

Available from 07/03/2025

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1108 ALGEBRA I (PACE) EXAM
QUESTIONS AND ANSWERS
PERFORM THE INDICATED OPERATION
(20x^2 + 3xy + 2y^2) - (x^2 - xy + 12y^2) = -
correct answer 19x^2 + 4xy - 10y^2
PERFORM THE INDICATED OPERATION
(x^2 + 3xy + 4y^2) + (6x^2 - 2xy + 2y^2) - (3x^2 - xy - 8y^2) = -
correct answer 4x^2 + 2xy + 14 y^2
MULTIPLY
3x^2 - 2x +1
x-3
------------ -
correct answer 3x^3 - 11x^2 + 7x - 3
MULTIPLY
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QUESTIONS AND ANSWERS

PERFORM THE INDICATED OPERATION

(20x^2 + 3xy + 2y^2) - (x^2 - xy + 12y^2) = - correct answer ✅19x^2 + 4xy - 10y^ PERFORM THE INDICATED OPERATION (x^2 + 3xy + 4y^2) + (6x^2 - 2xy + 2y^2) - (3x^2 - xy - 8y^2) = - correct answer ✅4x^2 + 2xy + 14 y^ MULTIPLY 3x^2 - 2x + x-


correct answer ✅3x^3 - 11x^2 + 7x - 3 MULTIPLY

QUESTIONS AND ANSWERS

(2x + 3)^3 - correct answer ✅8x^3 + 36x^2 + 54x + 27 MULTIPLY 1/3 (6a^2 - 3a + 9) = - correct answer ✅2a^2 - a + 3 SOLVE FOR X AND CHECK 3x - 9 = 11 - 2x - correct answer ✅x= SOLVE FOR X AND CHECK [(x + 4)/2] + [(x+2)/3] = [(x + 1)/1] - correct answer ✅x= DIVIDE

QUESTIONS AND ANSWERS

[(x^2 + 3x) / (25xy)] / [(x^2 + 6x + 9) / (20x^2y^2)] = - correct answer ✅(4x^2y) / [5(x + 3)] or (4x^2y) / (5x + 15) SOLVE FOR X AND CHECK [(x^2) / (x - y)] - 1 = - correct answer ✅(x^2 - x + y) / (x - y) SOLVE THE SYSTEM OF SIMULTANEOUS EQUATIONS 3x - 2y = 1 3x + 2y = 29 - correct answer ✅(5,7) SOLVE THE SYSTEM OF SIMULTANEOUS EQUATIONS

QUESTIONS AND ANSWERS

2x = 8y 3x + 2y = 42 - correct answer ✅(12,3) SIMPLIFY AND COMBINE 4√24 - 6√96 + 3√54 = - correct answer ✅-7√ 6 SIMPLIFY √(144A^2Y^6) = - correct answer ✅12ay^ SIMPLIFY ∛(-125x^3y^6) = - correct answer ✅-5xy^ SIMPLIFY

QUESTIONS AND ANSWERS

SOLVE THE QUADRATIC EQUATION AND CHECK BOTH ANSWERS

x^2 - 5x - 14 = 0 - correct answer ✅x=- x= I PETER 3:8 - correct answer ✅Finally, be ye all of one mind, having compassion one of another, love as brethren, be pitiful, be courteous. Find the length of the diagonal of a rectangle if the rectangle is 12 centimeters long and 5 centimeters wide. c^2 = a^2 + b^2 - correct answer ✅c=13cm A lamp sold for $17.60, which represented a 12% discount. What was the original price of the lamp? - correct answer ✅x=$ (original price) SIMPLIFY

QUESTIONS AND ANSWERS

[(10^4b^3) / (25a^6b^5c^2)] = - correct answer ✅2 / (5a^2b^2c^2) SIMPLIFY (2ab^2)(-3a^2)(4ab)(-b^2) = - correct answer ✅24a^4b^ SIMPLIFY [(21a^2b) / (7a^2b)] + {[(a^2) / (b^2)]^0} = - correct answer ✅ 4 PERFORM THE INDICATED OPERATION (7a + 3b - 4c) + (4a + 2b + c) - (2a + b -c) = - correct answer ✅9a + 4b - 2c PERFORM THE INDICATED OPERATION

QUESTIONS AND ANSWERS

(x + y)^2 = - correct answer ✅x^2 + 2xy + y^ MULTIPLY 3x^2 - 2xy + 2y^ x - y ________________________ - correct answer ✅3x^2 - 5x^2y + 4xy^2 - 2y^ SIMPLIFY [(6x -4) / (9x^2 - 12x + 4)] = - correct answer ✅2 / (3x - 2) SIMPLIFY √[(25x^2y^6) / (121x^4) = - correct answer ✅(5y^3) / 11x

QUESTIONS AND ANSWERS

SIMPLIFY

(1/3)^-3 = -

correct answer ✅ 27 SIMPLIFY (144a^8b^2)^(1/2) = - correct answer ✅12a^4b SIMPLIFY [(x^2) / (x + 7)] - [49/(x + 7)] = - correct answer ✅x - 7 SIMPLIFY 3√99 - 2√44 = - correct answer ✅ 5 √ 11

QUESTIONS AND ANSWERS

x=- SOLVE AND CHECK x^2 + 6x - 27 = 0 - correct answer ✅x=- x= SOLVE THE SYSTEM OF SIMULTANEOUS EQUATIONS. CHECK YOUR SOLUTION. 3x + 5y = 0 x + 4y = -7 - correct answer ✅(5,-3) SOLVE THE SYSTEM OF SIMULTANEOUS EQUATIONS. CHECK YOUR SOLUTION. x = 2y

QUESTIONS AND ANSWERS

3x + y = 21 - correct answer ✅(6,3) A tree casts a shadow 27 meters long. A nearby post that is 5 meters tall casts a shadow 3 meters long. How tall is the tree? (Hint: Set up a proportion to solve.) - correct answer ✅x=45m (height of tree)