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7th Grade Math Benchmark REVIEW Part 1

Total questions: 40

Worksheet time: 3hrs 16mins

Name
Class
Date
1.
What is the "formal" definition of pi?
a)
22/7
b)
3.1415926
c)
the ratio of a circle's circumference to its diameter
d)
the surface area of a sphere of diameter 22/7
2.

Pi is the ratio of a circle's ______ and ______.

a)

diameter and circumference

b)

circumference and radius

c)

Radius and diameter

d)

circumference and diameter

3.

-7(10)=

a)

70

b)

700

c)

-70

d)

-700

4.

1.3(-2.4)

a)

3.12

b)

-3.12

c)

0.312

d)

-0.312

5.

The simple interest formula is I=Prt.  The P represents the principal.  The principal is ___________________.  

a)

the amount of money borrowed or deposited

b)

the percent interest for his year

c)

the amount taxed

d)

the amount the bank owes you for being a customer at their bank

6.
The rate is given as a percent (%).  Before using it in the simple interest formula, you must first convert it to a______.
a)

fraction

b)

decimal

c)

ratio

d)

dollar amount

7.
The Principal and Interest are always___________.
a)

fraction

b)

decimal

c)

percent

d)

money

8.
Principal = $500
Interest rate =5%
Time = 5 years
What is the interest earned?
a)

95

b)

105

c)

125

d)

135

9.
Christian opened a savings account with $3250. His account will earn 5.2% simple interest. How much money will be in his account after 6 years?
a)
$4,264.00
b)
$1,104.00
c)
$1,100.00
d)
$4,400.00
10.
What is the range of the data?
a)
4
b)
8
c)
6
d)
2
11.

Compare the medians of these two dot plots.

a)

Math has a higher median (center).

b)

Math has a lower median (center).

12.

Identify the parts of a box plot by matching the labels.

a)Mode
b)Range
c)Upper Quartile (Q3)
d)Median (Q2)
e)Lower Quartile (Q1)
1
2
3
1)
2)
3)
13.

Select the two statements that are supported by the graph.

a)

The range for Greg's Gym is less than the range for Fun Fit

b)

Fun Fit and Greg's Gym are both symmetrical.

c)

The median for Greg's Gym is the same as the upper quartile for Fun Fit.

d)

The interquartile range for Fun Fit is less than the interquaratile range for Greg's Gym

14.

A scientist measured the weights of squirrels in two populations. The dot plots display the data from each population. Which statement is best supported by the information in the dot plots?

a)

The two populations have different mode weights.

b)

The two populations have different median weights.

c)

The data for the two populations have differents skews.

d)

The data for the two populations have different ranges.

15.
Jack’s age is three years more than twice his younger brother’s, Jimmy’s, age. If the sum of their ages is at most 18, write an inequality to find the possible ages Jimmy.
a)
3x + 3  ≥   18
b)
2x + 3 ≥ 18
c)
3x + 3 ≤ 18
d)
2x + 3 ≤ 18
16.
Julia wants to go bowling at the Syosset Bowling Alley. Each game costs $4.25. She needs to rent shoes, which costs $3.75. Julia does not want to spend more than $25. What is the maximum number of games Julia can bowl? Which translation matches the situation?
a)
3.75x + 4.25 ≥ 25
b)
3.75 + 4.25x ≤ 25
c)
3.75 + 4.25x  ≥ 25
d)
3.75x + 4.25 ≤ 25
17.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
18.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
19.
Determine the unit rate from the table above given the distance in leagues, x, and the distance in miles, y.
a)
k = 1/3
b)
k = 3
c)
k = 6
d)
k = 1
20.

Using the graph, determine the equation of the line.

a)

y = 5x

b)

y = 10x

c)

y = 1/5 x

d)

y = 1/10 x

21.

Match the following

a)

constant of proportionality

1.

a ratio that relates two values in a proportional relationship

b)

k is the variable that represents

2.

constant of proportionality

c)

yx\frac{y}{x}  

3.

a ratio used to determine the constant of proportionality

d)

unit rate

4.

a ratio that shows the rate for one of something

e)

table of x and y values

5.

k can be found using x and y data from this

22.

Tim paid $50 to join the local gym. He then pays $10 a month to work out. Which equation shows this relationship?

a)

y = 10x + 50

b)

y = 50x + 10

c)

y = 10 + 50

d)

y = 10x

23.

What is the constant of proportionality of this table? Choose all equivalent values.

a)

2.5

b)

52\frac{5}{2}

2


5

​

c)

0.4

d)

25\frac{2}{5}

5


2

​

e)

this is not a proportional relationship; no constant exists

24.

What is the unit rate?

a)

$0.80/banana

b)

$1.25/banana

c)

$0.80/pound

d)

$1.25/pound

25.

Match the following steps to instructions

a)

Step 1

1.

 identify the new amount

b)

Step 2

2.

identify the original amount

c)

Step 3

3.

subtract new from the original to get the change

d)

Step 4

4.

 divide the change by the original

e)

Step 5

5.

 multiply the answer by 100 to get your percent change

26.

In a recent poll, 150 students said they want to see a salad bar added to the cafeteria compared to only 120 in a previous poll. What was the percent increase in students who said that they wanted a salad bar?

a)

25%

b)

30%

c)

125%

d)

20%

27.
a)

F

b)

G

c)

H

d)

J

28.

Test it out!

Match the following

a)
1.

Integer

b)
2.

Rational Numbers

c)
3.

Whole Number

d)
4.

Absolute Value

29.

The Dallas Zoo has 24 lions in an exhibit. If the lions represent 15% of all the animals, how many total animals are at the Dallas Zoo?

a)

160

b)

345

c)

53

30.
a)

Proportional

b)

Non-proportional

31.
a)

Proportional

b)

Non-proportional

32.
a)

Proportional

b)

Non-proportional

33.
a)

Proportional

b)

Non-proportional

34.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
35.

Keep or Flip: −4m<4-4m<4  

a)

Keep

b)

Flip

36.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
37.

Solve.

−8x+7<15-8x+7<15  

a)

x>1x>1  

b)

x<1x<1  

c)

x>−1x>-1  

d)

x<−1x<-1  

38.

Solve.

3n+3≥303n+3\ge30  

a)

n≤9n\le9  

b)

n≥9n\ge9  

c)

n≤11n\le11  

d)

n≥11n\ge11  

39.

Find x

a)

25 ft

b)

15.4 ft

c)

21 ft

d)

32 ft

40.

Find n

a)

x = 21

b)

x = 27

c)

x = 36

d)

x = 30

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