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Benchmark Review

Total questions: 45

Worksheet time: 1hrs 17mins

Name
Class
Date
1.

Ted is hiking up a trail.  Currently, he is at an elevation of 2,300 feet and is gaining 400 feet of elevation per hour.  Juanita is hiking down the same trail.  Currently, she is at an elevation of 4,300 feet and is losing 600 feet of elevation per hour.

Which equation shows the number of hours (h) it will take before they meet on the trail?

a)

2,300+400h=4,300+600h

b)

2,300+400h=4,300−600h

c)

2,300+400h+4,300−600h=2

2.

What is the best prediction of the number of servings of iced tea sold on a day where the food trailer has 80 customers?

a)

53

b)

62

c)

40

d)

30

3.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
4.

a)

F

b)

G

c)

H

d)

J

5.
Mona is ordering cups for her school.  Company A charges $3.50 for each cup and a one-time starter fee of $14.  Company B charges $0.50 for each trophy and a one-time starter fee of $22.  
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?
a)
3.5x + 14 < 0.5x + 22
b)
3.5x + 14 > 0.5x + 22
c)
3.5 + 14x < 0.5 + 22x
d)
3.5 + 14x > 0.5 + 22x
6.

Is the following table proportional or nonproportional?

a)

Proportional

b)

Nonproportional

c)

Not Sure

7.
Write the equation of the line.
a)
y= -1x - 3
b)
y= -3x - 1
c)
y=(-1/3)x - 1
d)
y= -3x - 3
8.

The diagram shows three squares that are joined at vertices to form a right triangle.

Which statement is true?

a)

The sum of the areas of square A and square C is equal to the area of square B.

b)

The sum of the areas of square B and square C is equal to the area of square A.

c)

The sum of the areas of square of C and Square B and square A equal to the area of square C.

d)

The sum of the areas of square A and Square B is equal to the area of square C.

9.
Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day. 
a)
Proportional
b)
Non-Proportional
10.
Write a equation:  A plumber charges $50 for a house call plus $12 per hour for labor.
a)
y = 50 x + 12
b)
y =12 x + 50
c)
y = 62 x
d)
x = 50 + 12y
11.

Which of the equations below is proportional?

a)

y = 6x

b)

y = 3x + 2

c)

y = 2x + 4

d)

y = -2x -1

12.

The graph shows a proportional relationship between x and y. Which statement is true?

a)

The graph shows a proportional relationship because it contains the origin.

b)

The graph shows a non-proportional relationship because the graph does not contain the origin.

c)

The graph shows a proportional relationship because it's a straight line.

d)

The graph shows a non-proportional relationship because the graph passes through 3 different quadrants.

13.

Write the equation of a graph.

a)

y=−23x−2y=-\frac{2}{3}x-2

b)

y=23x−2y=\frac{2}{3}x-2

c)

y=32x−2y=\frac{3}{2}x-2

d)

y=−32x−2y=-\frac{3}{2}x-2

14.

Order these numbers from least to greatest.

a)

b)

c)

d)

1)
2)
3)
4)
15.
These two lines intersect at _____.
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4) 
d)
No solution
16.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
17.

What are the keywords for the y-intercept?

a)

starting, initial, beginning

b)

each, every, per

c)

positive, negative, no

d)

linear, positive

18.

Is the table proportional or not?

a)

proportional

b)

NOT proportional

19.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
20.

What is the distance between the two points?

a)

12.6

b)

6.5

c)

6.7

d)

16

21.

What is the LATERAL SURFACE AREA of the cylinder?

a)

282.6

b)

635.85

c)

28.26

d)

353.25

22.

A teacher is showing his student Jacob to join three squares at their vertices to create the figure shown in the diagram.

The student will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, which statement is true?

a)

The number of tiles needed to cover Square R is the same as the number of square tiles needed to cover Square G and Square M

b)

The number of tiles needed to cover Square G is the same as the number of tiles needed to cover both Square R and Square M.

c)

The number of tiles needed to cover Square M is the same as the number of square tiles needed to cover Square R and Square G.

23.

What is the exponent value, when this number is converted to scientific notation?

544,200

a)

2

b)

3

c)

4

d)

5

24.

Find the TOTAL SURFACE AREA of the cylinder

a)

493.16

b)

177.18

c)

354.37

d)

211.88

25.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
26.

Classify the number by checking all that apply!

−9-\sqrt{9}  

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

27.

WRITE AN EQUATION TO REPRESENT THE SITUATION


Peter and his friends are going to play putt-putt. At one location, they can pay $2.00 for rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus $6.00 per game.

a)

2 + 7.50x = 8 + 6x

b)

2 - 7.50x = 8 - 6x

c)

2x + 7.50 = 8x + 6

d)

2x - 7.50x = 8 x- 6

28.
Find the distance.
a)

8.4

b)
7.8
c)

8.5

d)

7.9

29.
The solution to this system of equations is:
a)
(4, 3)
b)
(3, 4)
c)
(-4, 3)
d)
No solution
30.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
31.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
32.

Which point represents 85\sqrt[]{85} on the number line?

a)

A

b)

B

c)

C

33.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
34.
Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 
a)
125 - 100 = 45x + 30x
b)
100x + 45 = 125x + 30
c)
100 + 45x = 125 + 30x
d)
100 - 45x = 125 - 30x 
35.

How is 123,000,000,000 expressed in scientific notation?

a)

1.23 x 10-11

b)

12.3 x 10-11

c)

1.23 x 1011

d)

12.3 x 1011

36.
Find the Volume of the Cylinder
a)
1178 ft3
b)
4712 ft3
c)
7069 ft3
d)
3534 ft3
37.

The two lines on the coordinate grid represent a system of equations.

What is the x-coordinate of the ordered pair that best represents the solution to both equations?

a)

3

b)

-3

c)

-6

d)

-2

38.

Order the following in DESCENDING order.

a)

92\frac{9}{2}  

b)

174\frac{17}{4}  

c)

4.124.12  

d)

16\sqrt[]{16}  

1)
2)
3)
4)
39.

Classify the numbers by checking all that apply!

175\sqrt{175}  

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

40.

What is the TOTAL SURFACE AREA of the cylinder.

a)

575.3

b)

603.18

c)

398.5

d)

604.1

41.

Solve for lateral surface area?

a)

2,214 cm²

b)

648 cm²

c)

920 cm²

d)

29,160 cm²

42.
How do you find the volume of a sphere?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
43.

Find the lateral surface area of the figure shown.

a)

672 cm2

b)

480 cm2

c)

576 cm2

d)

864 cm2

44.

Check all the numbers that are rational.

a)

36\sqrt{36}

b)

−38-\frac{3}{8}

c)

4π4\pi

d)

−200-200

45.
Classify the following:
0.04769165821735......
a)
Irrational
b)
Rational

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