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Benchmark Review

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Which of these is a correct statement about the function graphed below?

a)

Its equation is y=5x , so it is NOT a linear function.

b)

Its equation is y=5x , so it is a linear function.

c)

Its equation is y=5xy=5^x , so it is NOT a linear function.

d)

Its equation is y=5^x , so it is a linear function.

2.

Enter a fraction equivalent to

 0.40.\overline{4}  
using only whole numbers for the numerator and denominator.



(a)  

3.

Which of the following are rational numbers? Check the two that apply.

a)

 10\sqrt{10}  

b)

 11\sqrt{11}  

c)

 16\sqrt{16}  

d)

 20\sqrt{20}  

e)

 25\sqrt{25}  

4.

Which of the following statements is correct based on the number line below?

a)

48\sqrt{48} is to the right of point Q because it is less than 7.

b)

\sqrt{48} is between points P and Q because it is less than 0 and greater than 7.

c)

\sqrt{48} is between points P and Q because it is greater than 0 and less than 7.

d)

\sqrt{48} is to the right of point Q because it is greater than 7.

5.

Which of these statements is true about

 3\sqrt{3}  ?

a)

It is IRRATIONAL, because it CAN be written as a fraction with an integer in the numerator and the denominator.

b)

It is IRRATIONAL, because it CANNOT be written as a fraction with an integer in the numerator and the denominator.

c)

It is RATIONAL, because it can be written as a fraction with an integer in the numerator and the denominator.

d)

It is RATIONAL, because it cannot be written as a fraction with an integer in the numerator and the denominator.

6.

What is the value of

 64\sqrt{64}  ?
Hint:  "±""\pm"  means positive and negative

a)

 ±8\pm8  

b)

 8-8  

c)

 88  

d)

 40964096  

7.

What is the value of  121\sqrt{121}  ?


a)

11

b)

14641

c)

242

d)

60.5

8.

Which of these is a solution to the equation?
 x2=10x^2=10  

a)

 x=10x=\sqrt{10}  

b)

 x=8x=\sqrt{8}  

c)

 x=12x=\sqrt{12}  

d)

 x=5x=\sqrt{5}  

9.

To which of these equations is  x=12x=\frac{1}{2}  a solution? 

a)

 x2=14x^2=\frac{1}{4}  

b)

 x3=14x^3=\frac{1}{4}  

c)

 x2=4x^2=4  

d)

 x3=4x^3=4  

10.

Which of the graphs represent a linear function y=mx+by=mx+b for some values of m and b?
Choose ALL that are correct. 


a)
b)
c)
d)
e)
11.

Determine whether the function could be linear.
 y=7y=-7  

a)

COULD be linear

b)

CANNOT be linear

12.

Determine whether the function could be linear.


a)

COULD be linear

b)

CANNOT be linear

13.

Determine whether the function could be linear.


a)

COULD be linear

b)

CANNOT be linear

14.

 y=9x+3y=\frac{9}{x}+3  

Which of these statements correctly describes the function?

a)

It is a LINEAR function, and its graph is a straight line.

b)

It is a LINEAR function, but its graph is not a straight line.

c)

It is NOT a linear function, but its graph is a straight line.

d)

It is NOT a linear function, and its graph is not a straight line.

15.

Given  ΔABC\Delta ABC  is a right triangle, which will prove the Pythagorean Theorem?

a)

When you SUBTRACT the area of the small square from the medium square you get the area of the largest square.

b)

The area of the two smaller squares will ADD up to the area of the largest square.

c)

The angles of the triangle add up to 180 degrees.

d)

The two smaller angles of the triangle ADD up to the measure of the largest angle.