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REMEDIAL EXAM - MATH 8

Total questions: 30

Worksheet time: 15mins

Name
Class
Date
1.

What do you call an expression consisting of more than two terms?

a)

Polynomial

b)

Factoring

c)

Monomial

d)

Binomial

2.

Which of the following refers to the inverse of multiplication?

a)

Simplifying

b)

Rationalizing

c)

Factoring

d)

Dividing

3.

Which of the following refers to a polynomial consisting of two algebraic terms?

a)

Multinomial

b)

Binomial

c)

Trinomial

d)

Monomial

4.

Which of the following is NOT a polynomial?

a)

4x214x^2-1

b)

5y2+3y+25y^2+3y+2

c)

4d5c\frac{4d}{5c}

d)

a3b3a^3-b^3

5.

What are the factors the polynomial 5a155a-15 ?

a)

5(a3)5(a-3)

b)

5(5a15)5(5a-15)

c)

5(a5)5(a-5)

d)

5(a4)5(a-4)

6.

What are the factors the polynomial x249x^2-49 ?

a)

(x+4)(x4)(x+4)(x-4)

b)

(x+9)(x9)(x+9)(x-9)

c)

(x+7)(x7)(x+7)(x-7)

d)

(x+49)(x49)(x+49)(x-49)

7.

Which of the following are the factors the polynomial x25x+6x^2-5x+6 ?

a)

(x3)(x2)(x-3)(x-2)

b)

(x+3)(x+2)(x+3)(x+2)

c)

(x3)(x+2)(x-3)(x+2)

d)

(x+6)(x+1)(x+6)(x+1)

8.

Which of the following expression is a rational algebraic expression?

a)

4y2+z34y^{-2}+z^{-3}

b)

(ab)(a+b)\frac{(a-b)}{(a+b)}

c)

x3y\frac{x}{\sqrt[]{3y}}

d)

3c3(a+1)\frac{3c^{-3}}{\sqrt[]{\left(a+1\right)}}

9.

Which of the following is the simplest form of the expression 4e3f4g2e2f4g\frac{4e^3f^4g}{2e^2f^4g} ?

a)

22

b)

2-2

c)

2e2e

d)

2e-2e

10.

What is the simplest form of the expression 96x2y24xy\frac{96x^2y}{24xy} ?

a)

4x4x

b)

3x4\frac{3x}{4}

c)

x4\frac{x}{4}

d)

3x3y23x^3y^2

11.

What is the simplest form of the expression 18xw327x\frac{18xw^3}{27x} ?

a)

w23\frac{w^2}{3}

b)

2w33\frac{2w^3}{3}

c)

2w23x\frac{2w^2}{3x}

d)

2w3\frac{2w^{ }}{3}

12.

What is the equivalent expression if we simplify y2+4y+4y+2\frac{y^2+4y+4}{y+2} ?

a)

y+2y+2

b)

y2y-2

c)

y3y-3

d)

y+3y+3

13.

What is the sum of 23a and 13a\frac{2}{3a}\ and\ \frac{1}{3a} ?

a)

33a\frac{3}{3a}

b)

1a\frac{1}{a}

c)

23a\frac{2}{3a}

d)

2a\frac{2}{a}

14.

What is the difference of the expression aab and bab\frac{a}{a-b}\ and\ \frac{b}{a-b} ?

a)

aba-b

b)

11

c)

1ab\frac{1}{a-b}

d)

ab\frac{a}{b}

15.

What is the product of 3x2229x\frac{3x^2}{2}\cdot\frac{2}{9x} ?

a)

3x\frac{3}{x}

b)

x3\frac{x}{3}

c)

3x3x

d)

18x18x

16.

What is the factor of m225m^2-25 ?

a)

(m+5)(m5)\left(m+5\right)\left(m-5\right)

b)

(m5)(m5)\left(m-5\right)\left(m-5\right)

c)

(m+5)(m+5)\left(m+5\right)\left(m+5\right)

d)

(m+2)(m5)\left(m+2\right)\left(m-5\right)

17.

What is the slope of the line in the equation 3x+y=73x+y=7 ?

a)

33

b)

3-3

c)

77

d)

7-7

18.

What is the slope of the line if the graph is a horizontal line?

a)

zero

b)

negative

c)

positive

d)

undefined

19.

Which of the following best describes the graph of a linear equation whose slope is positive?

a)

inclined to the right

b)

inclined to the left

c)

horizontal line

d)

vertical line

20.

What is the graph of a linear equation if the slope is undefined?

a)

horizontal line

b)

vertical line

c)

diagonal line

d)

parabola

21.

What is the trend of the graph of a linear equation if the slope is negative?

a)

decreasing from left to right

b)

increasing from left to right

c)

horizontal line

d)

vertical line

22.

What is the slope of the line passing through the points (2, 5) and (4, -1)?

a)

1

b)

-1

c)

3

d)

-3

23.

What is the standard form of the linear equation y=4x+5y=-4x+5

a)

4x+y=5-4x+y=5

b)

4x+y=54x+y=5

c)

4xy=54x-y=5

d)

4xy=54x-y=-5

24.

What is the slope-intercept form of the equation 2xy=62x-y=6 ?

a)

y=2x6y=2x-6

b)

y=2x+6y=2x+6

c)

y=2x6y=-2x-6

d)

y=2x+6y=-2x+6

25.

Which of the following is the slope-intercept form of the equation x+y=5x+y=-5 ?

a)

y=x5y=x-5

b)

y=x+5y=-x+5

c)

y=x+5y=x+5

d)

y=x5y=-x-5

26.

What is the value of the y-intercept if the graph of the linear equation passes through the point (0, -3) and whose slope is 2?

a)

-1

b)

1

c)

-3

d)

3

27.

What is the slope of the line in the equation y=2x+3y=2x+3 ?

a)

2

b)

-2

c)

3

d)

-3

28.

What is the value of the y-intercept if the equation is y=4x1y=4x-1 ?

a)

(0, 0)\left(0,\ 0\right)

b)

(0, 1)\left(0,\ -1\right)

c)

(0, 2)\left(0,\ -2\right)

d)

(0, 3)\left(0,\ -3\right)

29.

What is the value of the y-intercept in the equation 3x4y=123x-4y=12 ?

a)

4-4

b)

2-2

c)

3-3

d)

5-5

30.

Which of the following is the equation of the line that passes through the (2, 4) and has a slope of -3?

a)

3x+y=103x+y=10

b)

3x+y=103x+y=-10

c)

3xy=103x-y=10

d)

3xy=103x-y=-10