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Math 8 Review

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

When you add x+56x(x2)\frac{x+5}{6x\left(x-2\right)}   to another rational expressions, the sum is equal to 2x+76x(x2).\frac{2x+7}{6x\left(x-2\right)}.   What is the rational expression?

a)

3x+126x(x2)\frac{3x+12}{6x\left(x-2\right)}  

b)

2x+36x(x2)\frac{2x+3}{6x\left(x-2\right)}  

c)

x+26x(x2)\frac{x+2}{6x\left(x-2\right)}  

d)

x+42x(x2)\frac{x+4}{2x\left(x-2\right)}  

2.

What is the sum when you add 4x3xand x+23x3?\frac{4x}{3x}and\ \frac{x+2}{3x-3}?  

a)

x13x(x1)\frac{-x-1}{3x\left(x-1\right)}  

b)

2x53x(x2)\frac{2x-5}{3x\left(x-2\right)}  

c)

5x23(x1)\frac{5x-2}{3\left(x-1\right)}  

d)

2+x3(x1)\frac{-2+x}{3\left(x-1\right)}  

3.

The length of a rectangle is (20x2016x316x2) units.\left(\frac{20x-20}{16x^3-16x^2}\right)\ units.    The width is (8x316x22)\left(\frac{8x^3-16x^2}{2}\right)   units. What is the area of the rectangle?

a)

407x square units\frac{40}{7x}\ square\ units  

b)

x7(x9)(x+3) square units\frac{x-7}{\left(x-9\right)\left(x+3\right)}\ square\ units  

c)

5(x2) square units5\left(x-2\right)\ square\ units  

d)

12x2x5 square units\frac{12x^2}{x-5}\ square\ units  

4.

Which of the following is the simplest form of   8xy212x2y\frac{8xy^2}{12x^2y}  ?

a)

2y3x\frac{2y}{3x}  

b)

2x3y\frac{2x}{3y}  

c)

y4x\frac{y}{4x}  

d)

4xy\frac{4x}{y}  

5.

What is the Rectangular Coordinate System?

a)

It is a coordinate system that is used in naming points in a plane.

b)

It is a coordinate system that is used in graphing functions.

c)

It is a coordinate system that is used to determine the location of a point by using a single number.

d)

It is a coordinate system that is composed of two perpendicular number lines that meet at the point

    of origin

6.

Which of the following expressions is a rational expression?

a)

x\sqrt[]{x}  

b)

x+2x5\frac{x+2}{x-5}  

c)

4x12+5x134x^{\frac{1}{2}}+5x^{\frac{1}{3}}  

d)

1x\frac{1}{\sqrt[]{x}}  

7.

What do you call the vertical number line in a Rectangular Coordinate System?

a)

x-axis

b)

y-axis

c)

origin

d)

plane

8.

What do you call the center where x and y-axis intersect?

a)

point

b)

coordinate

c)

plane

d)

origin

9.

The Cartesian Plane is divided by a horizontal number line called what?

a)

plane

b)

y-axis

c)

x-axis

d)

coordinates

10.

In which quadrant is the point with coordinates (-3, -2)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

11.

In which quadrant is the point with coordinates (7, -15)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

12.

He is the proponent of Rectangular Coordinate System or also known as the Cartesian Plane.

a)

Pythagoras

b)

Rene Descartes

c)

Albert Einstein

d)

Isaac Newton

13.

How many quadrants are there in a coordinate plane?

a)

1

b)

3

c)

4

d)

5

14.

The standard form of a linear equation in two variables is ____________.

a)

y = mx + b

b)

x + y = m

c)

Ax + By = C

d)

By = Ax + C

15.

Find the value of A in the linear equation in two variable 4x + 2y = 8

a)

8

b)

4

c)

2

d)

16

16.

The graph of a linear equation in two variables form a ___________.

a)

parabola

b)

circle

c)

rectangle

d)

line

17.

What is the slope of the line

a)

-2/3

b)

2/3

c)

3/2

d)

-3/2

18.

What is the slope of the line?

a)

Undefined

b)

Zero

c)

-1

d)

1

19.

What is the slope of the line?

a)

Zero

b)

Undefined

c)

1

d)

-1

20.

Find the slope through these two points.

a)

-8/3

b)

8/3

c)

-2/3

d)

2/3