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7th Grade Math DCA #2 Review

Total questions: 98

Worksheet time: 9hrs 35mins

Name
Class
Date
1.
Classify the Number: -23
a)
Rational
b)
rational, integer
c)
integer
d)
rational, whole
2.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
3.
Which number is an integer?
a)
½
b)
1.65
c)
-4
d)
3 ¾
4.

Which number would be located in the shaded area of the diagram? STAAR

a)

-1.7

b)

-8

c)

0.66

d)

10

5.

Select all of the classifications that ¾ belongs to.

a)

Rational Number

b)

Integer

c)

Whole Number

6.

Select all of the classifications that -⅛ belongs to.

a)

Rational Number

b)

Integer

c)

Whole Number

7.

Classify the number (choose all that apply): 3/4

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

8.
The numbers 0,1,2,3...are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
9.
Numbers like -3,-2,-1,0,1,2,3 are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
10.
A rational number can be written as a fraction?
a)
True
b)
False
11.
-10 is a whole number?
a)
True
b)
False 
12.
0.89 is a rational number?
a)
True
b)
False 
13.
-9 is an integer?
a)
True
b)
False
14.
O is a whole number?
a)
True
b)
False
15.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

16.

Choose the most specific classification for the following number: 3

a)

Whole

b)

Natural

c)

Integer

d)

Rational

17.

Explain the error.

a)

-1.2 isn't an integer.

b)

-2 isn't a whole number and 3.4 isn't a rational number.

c)

-2 isn't a whole number and -1.2 isn't an integer.

d)

The numbers are graphed correctly.

18.

8(-3)

a)

-11

b)

-24

c)

5

d)

24

19.

-12 + 6

a)

6

b)

-18

c)

24

d)

-6

20.

9 - 10

a)

0

b)

19

c)

-1

d)

-19

21.

24 / -4

a)

-6

b)

6

c)

20

d)

-12

22.

-30 / -10

a)

-40

b)

-3

c)

-20

d)

3

23.

-5 - -8

a)

-13

b)

3

c)

-3

d)

13

24.

17 + -7

a)

24

b)

4

c)

-1

d)

10

25.

-6 + 14

a)

-20

b)

-6

c)

20

d)

8

26.

939\cdot-3  

a)

-27

b)

-6

c)

27

d)

6

27.

Your business made $100 the first month but made $25 less the second month. How much did your business make in those two months?

a)

$200

b)

$175

c)

$150

d)

$125

28.
Lynnette can wash 95 cars in 5 days. How many cars does she wash each day?
a)
475 cars per day
b)
19 cars per day
c)
.05 cars per day
d)
15 cars per day
29.
Sarah went into the local Dollar Store because they have so many deals!! The following deal that she was debating is 4 bars of soap that cost $5. What would 8 bars cost her?
a)
$10
b)
$11
c)
$12
d)
$13
30.
Daniel’s gym class has 35 students and 7 basketballs. What was the ratio of students to basketballs
a)
5 to 1
b)
1 to 5
c)
7 to 1
d)
1 to 7
31.
A seed company says that 4 out of every 5 of its seeds will grow.  If Melissa plants 40 of these seeds,  then how many seeds is Melissa expected to grow? Use an equivalent ratio (proportion) to find the answer.
a)
50
b)
32
c)
10
d)
8
32.
240 cm = ___________ m
a)
2400
b)
24
c)
2.4
d)
0.24
33.
15.6 L = ___________ mL
a)
15,600
b)
156,000
c)
1,560,000
d)
15,600,000
34.
2804 mg = ___________ g
a)
0.2804
b)
2.804
c)
28.04
d)
280.4
35.
7 feet = ___ inches
a)
144 inches
b)
49 inches
c)
84 inches
d)
19 inches
36.
Steven is 5 feet 4 inches tall. How tall is this in inches?
a)
54 inches
b)
60 inches
c)
64 inches
d)
70 inches
37.
What was Brian's unit rate?
a)
3/2 word per minute
b)
30 minutes per word
c)
60 minutes per word
d)
30 words per minute
38.

Tom Wrote this equation to represent a story problem.
4 x -$5 = -20
Which story problem matches Tom's equation?

a)

Each week for 4 weeks, Tom spent $5 on snacks at the convenience store. How much money did Tom spend?

b)

Each week for 4 weeks, Tom earned $5 mowing his neighbors lawn.  How much money did Tom have at the end of 4 weeks?

c)

Tom earned $4 the first week and loaned $5 to his brother the second week.  How much money did Tom have at the end of the second week?

d)

Tom made 4 projects that each used up 5 feet of string.  How much string was used in all?

39.

What is 35% of 90?

a)

33

b)

32

c)

39

d)

31.5

40.

McDonald's restaurant has just increased the wages they pay their employees. To help offset this added expense, McDonald's must mark up their meals by 19%. If the average meal costs $6.99, how much will it cost after the markup?

a)

$1.33

b)

$8.32

c)

$7.03

d)

$8.89

41.

Hector bought a shirt that was on sale for 25% off the original price. If the original price of the shirt was $45, what was the sales price of the shirt?

a)

$33.75

b)

$56.25

c)

$11.25

d)

$32.50

42.

Lilliana bought a mid-level computer 10 years ago for $5,800. Yesterday, Lilliana bought a mid-level computer for $1,800. What was the approximate percent of decrease in the cost of mid-level computers?

a)

222%

b)

31%

c)

45%

d)

69%

43.

Which expressions represent negative products?

a)

(-3)(-3)(-3)(-3)(-3)(-3)(-3)

b)

(-30)(-30.4)(30)

c)

(-2)(-2)(-2)(-2)

d)

(-2.3)(-2.3)(-2.3)(-2.3)(-2.3)

44.

Paula found a CD set he liked in the clearance aisle for 20% off the original price. If the original price of the CD set was $29, how much will Paula be saving when she buys it?

a)

$23.20

b)

$34.80

c)

$5.80

d)

$9.75

45.

The price of lunch was $32.80. The sales tax was 8%. The server was given a 15% tip (calculated after tax was added). What was the total cost of the meal?

a)

$40.34

b)

$39.75

c)

$40.74

d)

$7.94

46.

Which of the following situations results in a sale price that is less than or equal to $26.00.

a)

A $39.99 lamp is on sale for 35% off.

b)

A $49.99 set of pans is on sale for 45% off.

c)

A $59.99 chair is on sale for 60% off.

d)

A $69.99 video game is on sale for 40% off.

47.

The number of pears in a box decreased from 175 to 160. What is the percent decrease of the number of apples in the box?

a)

91%

b)

109%

c)

9.6%

d)

8.6%

48.

The new video game that Tim wants to purchase is sold for $45 at Techno Hut and for $50 at Gamer World. If Tim has a 10% off coupon for all purchases at Techno Hut and a 15% off coupon for video games at Gamer World, which statement is true?

a)

After coupons, the game is the same price at both stores.

b)

After coupons, the game is $2.50 cheaper at Gamer World.

c)

After coupons, the game is $2.00 cheaper at Techno Hut.

d)

After coupons the game is $2.00 cheaper at Gamer World.

49.

Julio wanted to know what percentage of his monthly salary of $2,225 were spent on utilities. If he spent $279 on utilities, what percent of his salary were spent on utilities?

a)

17%

b)

13%

c)

23%

d)

11%

50.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
51.

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?

a)

1/11

b)

1/18

c)

1/36

d)

2/33

52.

Gabriel has these cans of soup in his kitchen cabinet.

• 2 cans of tomato soup

• 3 cans of chicken soup

• 2 cans of cheese soup

• 2 cans of potato soup

• 1 can of beef soup

Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?

a)

2/5

b)

1/25

c)

2/45

d)

1/5

53.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
54.

What is the probability of spinning a 2 on the spinner?

a)

1/2

b)

1/3

c)

1/8

d)

1/4

55.

A box has 3 limes, 5 grapes, and 2 oranges.


P (NOT lime)

a)

3/10

b)

30%

c)

7/10

d)

Answer Not Here

56.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

57.
The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the CORRECT Sample Space List of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
58.
Lisa flipped the same coin 3 times. What is the probability she obtained all tails?
a)
1/2
b)
1/4
c)
1/16
d)
1/8
59.
You roll a pair of number cubes (dice). Which equation represents how to find the probability of rolling a 2 and an odd number?
P(2, then odd)
a)
⅙ x ½ = 1/12
b)
⅙ + ½ = 2/8
c)
 ½ x ½ = 1/4
d)
⅓ + ½ = 5/6
60.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

a)

5/11

b)

5/6

c)

1/3

d)

5

61.

Based on the chart, what is the experimental probability of pulling a green marble?

a)

1/8

b)

8/25

c)

8/100

d)

7/8

62.

What is the probability that you choose blue? *simplify

5 green

6 yellow

8 blue

7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

63.

P(not A) =

*Remember to simplify.*

a)

6/8

b)

3/4

c)

2/8

d)

1/4

64.
A die is rolled. What is the probability that the result is less than 3 ?
a)
1/2
b)
1/3
c)
1/4
d)
1/6
65.
The spinner shown is spun. 
Find P(number less than 6).
a)
6/8 or 75%
b)
1/8 or 12.5%
c)
5/8 or 62.5%
d)
3/8 or 37.5%
66.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

67.

Gabby is picking out fabric for her bedroom. She has 20 fabric samples, and 8 of them are plaid.


What is the probability that a randomly selected fabric sample will be plaid?

a)

12/20

b)

2/5

c)

1/20

d)

20

68.
Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?
a)
They are the same size and shape.
b)
They are the same size but different shapes.
c)
They have corresponding angles that are congruent.
d)
They have corresponding sides that are congruent.
69.
The two parallelograms above are similar.
What is the length in inches of line segment PQ?
a)
40 in.
b)
34 in.
c)
38 in.
d)
14 in.
70.
Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?
a)
11 in.
b)
13.5 in.
c)
9 in.
d)
20.25 in.
71.
Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?
a)
20 feet
b)
24 feet
c)
29 feet
d)
51 feet
72.
Triangle ABC is similar to triangle XYZ.  What is the length of line segment BC?
a)
5 cm
b)
7.5 cm
c)
8 cm
d)
9 cm
73.
If triangles ADE and ABC shown in the figure above are similar, what is the value of x?
a)
4
b)
5
c)
6
d)
8
74.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
75.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
76.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
77.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 
a)
72 in
b)
60 in
c)
62 in
d)
80 in
78.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 
a)
72 in
b)
60 in
c)
62 in
d)
80 in
79.

A 6 foot tall man casts a shadow that is 9 feet long. He is standing next to a child who casts a shadow 6 feet long. How tall is the child?

a)

3 ft

b)

4 ft

c)

2.5 ft

d)

4.5 ft

80.

A statue that is 12 ft tall casts a shadow that is 15 feet long. Find the length of the shadow of a 4 foot tall bird bath that is next to the statue.

a)

45 ft

b)

3.2 ft

c)

4 ft

d)

5 ft

81.

A 15 foot tall giraffe casts a shadow that is 4 feet long. If a tree next to the giraffe casts a shadow that is 12 feet long, how tall is the tree?

a)

48 feet

b)

60 feet

c)

200 feet

d)

45 feet

82.

Los Angeles and San Francisco are 380 miles from each other. How far apart would the cities be on a map that has a scale of 4 in : 95 mi?

a)

20 in

b)

15 in

c)

16 in

d)

19 in

83.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

84.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

85.

Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter : 5 meters. In the drawing, the lawn in the backyard is 10 millimeters long. What is the length of the actual lawn?

a)

50 m

b)

2 m

c)

10 m

d)

5 m

86.

Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?

a)

2 in

b)

1 in

c)

3 in

d)

18 in

87.

Wanda drew a scale drawing of a house and its lot. She used the scale 2 centimeters : 3 meters. If the actual length of the lawn in the backyard is 51 meters, how long is the lawn in the drawing?

a)

34 cm

b)

102 cm

c)

153 cm

d)

51 cm

88.

Which table corresponds to the equation?

a)
b)
c)
d)
89.

Which equation represents the table?

a)
b)
c)
d)
90.

Select the verbal description that most appropriately fits the equation.

y = 50x + 400

a)

I have $400 and plan to earn $50 per week.

b)

I have $400 and plan to spend $50 per week.

c)

I owe $400 and plan to pay back $50 per week.

d)

I owe $400 and plan to borrow an additional $50 per week.

91.

Select the verbal description that most appropriately fits the equation.

y = -50x + 400

a)

I have $400 and plan to earn $50 per week.

b)

I have $400 and plan to spend $50 per week.

c)

I owe $400 and plan to pay back $50 per week.

d)

I owe $400 and plan to borrow an additional $50 per week.

92.
Which equation matches the graph? 
a)
y = 3x 
b)
y = x + 3
c)
y = ⅓x
d)
y = x - 3
93.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
94.

1) Which table contains only coordinates of points that appear to be on the line below?

a)
b)
c)
d)
95.

2) Which line appears to contain both ordered pairs from this table?

a)
b)
c)
d)
96.

3) Which line appears to be a graph of the equation shown?

y = -2x -1

a)
b)
c)
d)
97.

15) Margaret has $200 in her savings account. She will deposit $50 into this account each week and will make no withdrawals. Which table represents this situation, excluding interest?

a)
b)
c)
d)
98.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)