Mathematics 8

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First Term Exam

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Joseph Castil

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Mathematics 8


Mathematics 8Versión en línea First Term Exam por Joseph Castil 1 Learner A B C D E F Score 8 10 10 12 14 16 What is the median score? a 11 b 13 c 12 d 10 2 Learner A B C D E F Score 8 10 10 12 14 16 What is the mean score rounded to the nearest hundreth? a 11.67 b 13.67 c 10.67 d 9.67 3 A tricycle fare is PHP 25 plus PHP 12 for each kilometer k. Which expression represents the total fare? a 12k + 25 b 25k + 12 c 12k - 25 d 25k – 12 4 A teacher buys notebooks at n pesos each for 35 students and pays PHP 80 for delivery. Which expression gives the total cost? a 35n + 80 b 80n + 35 c 35n - 80 d 80n – 35 5 Which situation can be represented by 4p + 12? a Four learners each pay p pesos, then add a PHP 12 group fee. b A learner pays 4 pesos, then p pesos is added twelve times. c Four pesos are shared equally by p learners and 12 is added. d A PHP 12 fee is multiplied by p and then four pesos are added. 6 Simplify: 7x + 3x a 10x b 11x c 9x d 4x 7 Simplify: 12a - 5a a 7a b 6a c 5a d 4a 8 Simplify: 9m2 + 4m - 3m2 + 2m a 6m2 + 6m b 6m2 + 4m c 12m2 + 6m d 6m2 + 2m 9 Simplify: 3xy + 5xy - 7xy a xy b 5xy c 3xy d -xy 10 Find the product: 5x(x + 2) a 5x2 + 10x b 5x2 + 7x c 5x + 10 d x2 + 10x 11 Find the product: (3x²)(4x³). a 12x⁵ b 9x⁵ c 15x⁵ d 18x⁵ 12 Find the product: (2p³q)(5p²q⁴). a 10p⁵q⁵ b 8p⁵q⁵ c 6p⁶q⁴ d 5p⁵q⁴ 13 Which expression is equivalent to 2a2(3a2 – 5a + 7)? a 6a4 – 10a3 + 14a2 b 6a3 – 10a2 + 14a c 5a4 – 3a3 + 7a2 d 6a4 – 5a3 + 7a2 14 Factor completely: x² + 9x + 20. (quadratic trinomials) a (x + 5)(x + 4) b (x + 10)(x + 2) c (x + 20)(x + 1) d (x + 6)(x + 3) 15 Factor completely: x² - 64. (sum and difference of two squares) a (x + 8)(x - 8) b (x + 16)(x - 4) c (x + 8)(x + 8) d (x - 8)(x - 8) 16 Expand (3a - 2)2 completely. (perfect square trinomials) a 9a2 - 12a + 4 b 9a2 - 6a + 4 c 9a2 + 12a + 4 d 3a2 - 12a + 4 17 Which method is most efficient for expanding (5x - 1)(5x + 1)? a use the difference of two squares b use repeated addition of terms c use square of a binomial directly d use factoring by grouping first 18 If (k + n)2 = k2 + 18k + 81, what is the value of n? a 9 b 12 c 6 d 3 19 Which conclusion explains why (r + 2)(r - 2) = r2 - 4? a The binomials are sum and difference b Both binomials have equal terms. c Both binomials have common factors. d The binomials are perfect squares. 20 A poster has length x + 11 and width x - 11. Which expression gives its area? a x2 - 121 b x2 + 121 c x2 - 22x - 121 d x2 + 22x + 121 21 Which expression shows difference of two squares? a x2 - 64 b x2 + 8x + 64 c x2 + 64 d x2 - 8x + 64 22 An area model has side lengths x + 5 and x + 3. Which expanded form matches the model? a x2 + 8x + 15 b x2 + 15x + 8 c x2 + 5x + 15 d x2 + 3x + 15 23 What should be checked first when factoring 12x3 + 18x2? a whether it has a common monomial factor b whether it is a perfect square trinomial c whether it is a sum of two squares d whether it has no constant term 24 This is an algebraic expression that can be written as a fraction, where both the numerator and the denominator are polynomials, and the denominator is not zero. a Rational Algebraic Expressions. b Rational Algebraic Equations c Rational Algebraic Functions d Rational Algebraic Fractions 25 Which of the following is not a rational algebraic expression? a (m+2)/0 b (y+2)/(y-2) c (1-m)/m0 d c4/(c-d) 26 What is the GCF of (8a3)/(32a6 ) ? a 8a3 b 8a2 c 4a3 d 4a 27 Simplify the following: (6c3)/(15c4 ) a 2/5c b 3/5c c 2c/(5c2 ) d 3c/(5c2 ) 28 These are rational algebraic expressions that have the same denominator. a Similar Rational Algebraic Expressions. b Similar Rational Algebraic Equations c Similar Rational Algebraic Functions d Similar Rational Algebraic Fractions 29 What is the sum of 2/x and 3/x? a 5/x b 5/2x c 5/x2 d 5/(2x2 ) 30 Simplify the following: (2y -1)/(y+1) + 3/(y+1) a 2 b -2 c y + 1 d y -1

Mathematics 8

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Mathematics 8Versión en línea

por Joseph Castil

Learner A B C D E F Score 8 10 10 12 14 16 What is the median score?

Learner A B C D E F Score 8 10 10 12 14 16 What is the mean score rounded to the nearest hundreth?

A tricycle fare is PHP 25 plus PHP 12 for each kilometer k. Which expression represents the total fare?

A teacher buys notebooks at n pesos each for 35 students and pays PHP 80 for delivery. Which expression gives the total cost?

Which situation can be represented by 4p + 12?

Simplify: 7x + 3x

Simplify: 12a - 5a

Simplify: 9m2 + 4m - 3m2 + 2m

Simplify: 3xy + 5xy - 7xy

Find the product: 5x(x + 2)

Find the product: (3x²)(4x³).

Find the product: (2p³q)(5p²q⁴).

Which expression is equivalent to 2a2(3a2 – 5a + 7)?

Factor completely: x² + 9x + 20. (quadratic trinomials)

Factor completely: x² - 64. (sum and difference of two squares)

Expand (3a - 2)2 completely. (perfect square trinomials)

Which method is most efficient for expanding (5x - 1)(5x + 1)?

If (k + n)2 = k2 + 18k + 81, what is the value of n?

Which conclusion explains why (r + 2)(r - 2) = r2 - 4?

A poster has length x + 11 and width x - 11. Which expression gives its area?

Which expression shows difference of two squares?

An area model has side lengths x + 5 and x + 3. Which expanded form matches the model?

What should be checked first when factoring 12x3 + 18x2?

This is an algebraic expression that can be written as a fraction, where both the numerator and the denominator are polynomials, and the denominator is not zero.

Which of the following is not a rational algebraic expression?

What is the GCF of (8a3)/(32a6 ) ?

Simplify the following: (6c3)/(15c4 )

These are rational algebraic expressions that have the same denominator.

What is the sum of 2/x and 3/x?

Simplify the following: (2y -1)/(y+1) + 3/(y+1)