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State testing Review 8th

Total questions: 16

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Which of the following is equivalent to the expression 4842\frac{4^8}{4^2}  

a)

444^4  

b)

464^6  

c)

4104^{10}  

d)

4164^{16}  

2.

A space shuttle travels at 2.6×1042.6\times10^4  feet per second. An hour is 3.6×1033.6\times10^3   seconds. This expression can be used to find the number of feet the space shuttle travels in an hour.

(2.6×104)(3.6×103)\left(2.6\times10^4\right)\left(3.6\times10^3\right)  

How many feet does the shuttle travel in an hour?

a)

6.2×1016.2\times10^1  

b)

6.2×10126.2\times10^{12}  

c)

9.36×1079.36\times10^7  

d)

9.36×10129.36\times10^{12}  

3.

*A and B are non-zero rational numbers

*x and y are irrational numbers

Select the statements that are true. (2 answers are correct)

a)

a+b is always rational

b)

a+b is never rational

c)

a+x is always rational

d)

a+x is never rational

4.

*a and b are non-zero rational numbers

*x and y are irrational numbers

Select the statements that are true. (There are two correct answers)

a)

x⋅y is always irrationalx\cdot y\ is\ always\ irrational  

b)

x⋅y is sometimes irrationalx\cdot y\ is\ sometimes\ irrational  

c)

b⋅x is never irrationalb\cdot x\ is\ never\ irrational  

d)

b⋅x is always irrationalb\cdot x\ is\ always\ irrational  

5.

A smoothie shop makes $3.00 for every smoothie sold after subtracting the costs for ingredients and packaging. THey have additional costs of $150.00 per day. Which linear model expresses how much the shop makes, y, for selling x smoothies in a day?

a)

y=3x

b)

y=3x- 150

c)

y=150x- 3

d)

y=3x+ 150

6.

A taxi company charges a base fee of $2.00 plus $0.50 per mile. Which of these represents the cost of a taxi ride y, for the distance of x miles?

a)

y=2.5x

b)

y=50x+2

c)

y=0.50x+2

d)

y=2x+0.50

7.

What is the slope and y-intercept of this equation?

3x-2y=8

a)

slope: −23-\frac{2}{3}  

y-int: -4

b)

slope: 32\frac{3}{2}  

y-int: 4

c)

slope: 23\frac{2}{3}  

y-int: -2

d)

slope: 32\frac{3}{2}  

y-int: -4

8.

What is the slope of this equation?

2x+3y=12

a)

−23-\frac{2}{3}  

b)

- 32\frac{3}{2}  

c)

23\frac{2}{3}  

d)

4

9.

The total amount of money, in dollars, Sandy earns for working h hours is represented by this expression

15h

How much money does Sandy earn for working 35 hours?

a)

$20

b)

$50

c)

$525

d)

$1535

10.

If x=3 then 5x+2 = ?

a)

17

b)

19

c)

11

d)

-6

11.

If x=1 then 2(x-4)= ?

a)

-5

b)

6

c)

17

d)

-6

12.

If x=-2 then −3x2+4x+15=-3x^2+4x+15=  ?

a)

17

b)

-5

c)

11

d)

6

13.

A wall in Cynthia's attic is a triangle with an area of 6 square meters and a base of 4 meters. What is the height, in meters of the triangular wall?

a)

3 meters

b)

4 meters

c)

12 meters

d)

24 meters

14.

The possible product of 24 and n is greater than -96. Which inequality represents the possible values for n?

a)

n> −4n>\ -4  

b)

n> −120n>\ -120  

c)

n<−4n<-4  

d)

n<−120n<-120  

15.

Tom has read 11 pages of a 215-page book. He will read 6 pages each day until he finishes the book. Which equation can be used to find the number of days, d, it will take Tom to finish reading the book?

a)

6+11d=215

b)

11+6d=215

c)

17d=215

d)

6d=215

16.

A wire is attached to the top of a 5-foot tall pole. The other end of the wire is secured to the ground 2 feet from the base of the pole. What is the length, in feet, of the wire?

a)

7\sqrt[]{7}  

b)

14\sqrt[]{14}  

c)

21\sqrt[]{21}  

d)

29\sqrt[]{29}