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8th Diagnostic Test 21-22

Total questions: 26

Worksheet time: 52mins

Name
Class
Date
1.

Which variable expression represents the phrase “the sum of a number and 11”?

a)

n+11

b)

n11n-11

c)

11n

d)

 n11\frac{n}{11}

2.

 What is the value of 16+20÷4+1?What\ is\ the\ value\ of\ 16+20\div4+1? 

a)

8

b)

10

c)

20

d)

22

3.

Evaluate the expression 5s + t when s = 2 and t = 6.

a)

16

b)

32

c)

58

d)

60

4.

 Whichexpression is equivalent to 3(4c6)?Which\exp ression\ is\ equivalent\ to\ 3(4c-6)?  

a)

6c

b)

7c - 3

c)

12c - 18

d)

12c - 6

5.

Which equation represents the sentence “The product of 12 and p is 60.”?

a)

12 + p = 60

b)

12p = 60

c)

12 - p = 60

d)

12p=60\frac{12}{p}=60

6.

What is the solution of -3 + w = 15?

a)

-18

b)

-12

c)

12

d)

18

7.

 What is the solution of the equation 2x18=30?What\ is\ the\ solution\ of\ the\ equation\ 2x-18=30?  

a)

6

b)

24

c)

33

d)

96

8.

a)

x<1x<1

b)

x1x\le1

c)

x>1x>1

d)

x1x\ge1

9.

Which is the perimeter of a rectangle with

length 18 cm and width 8 cm?

a)

26 cm

b)

52 cm

c)

104 cm

d)

144 cm

10.

What is the greatest common factor of 6 and 15?

a)

1

b)

2

c)

3

d)

6

11.

Which expression is the prime factorization of 48? 

a)

 3163\cdot16  

b)

 3423\cdot4^2  

c)

 2432^4\cdot3  

d)

 22342^2\cdot3\cdot4  

12.

What is the least common multiple of 6 and 10?

a)

2

b)

16

c)

30

d)

60

13.

 Which decimal is equivalent to 23?Which\ decimal\ is\ equivalent\ to\ \frac{2}{3}?  

a)

0.6

b)

0.666666....

c)

0.67

d)

0.7

14.

 Find the sum 116+234.Find\ the\ sum\ -1\frac{1}{6}+2\frac{3}{4}.  

a)

 11121\frac{1}{12}  

b)

 1131\frac{1}{3}  

c)

 1121\frac{1}{2}  

d)

 17121\frac{7}{12}  

15.

 Find the quotient 78÷52.Find\ the\ quotient\ \frac{7}{8}\div\frac{5}{2}.  

a)

 720\frac{7}{20}  

b)

 1635\frac{16}{35}  

c)

 23162\frac{3}{16}  

d)

 2672\frac{6}{7}  

16.

A teacher bought museum tickets for 20 students. The total cost of the tickets was $80. What was the cost per student?

a)

$3 per student

b)

$4 per student

c)

$10 per student

d)

$16 per student

17.

 What is the solution of the proportion 38=x40?What\ is\ the\ solution\ of\ the\ proportion\ \frac{3}{8}=\frac{x}{40}?  

a)

5

b)

8

c)

11

d)

15

18.

A map has a scale of 1 in. : 12 miles. If the distance between two towns on a map is 6 inches, what is the actual distance between the two towns?

a)

2 miles

b)

18 miles

c)

20 miles

d)

72 miles

19.

What number is 10% of 20?

a)

2

b)

5

c)

10

d)

12

20.

20 is 25% of what number?

a)

5

b)

25

c)

80

d)

125

21.

What percent of 40 is 8?

a)

5%

b)

20%

c)

32%

d)

48%

22.

What is the x-intercept of the graph of 5x - 4y = 20?

a)

-5

b)

-4

c)

4

d)

5

23.

What is the slope of the line through the points (1, 5) and (6, -10)?

a)

-3

b)

-1

c)

13-\frac{1}{3}

d)

14-\frac{1}{4}

24.

Which is the equation of a line that has a slope of 4 and a y-intercept of -2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 4x - 2

25.

What is the area of a parallelogram with a base of 6 inches and a height of 10 inches?

a)

16 in.2

b)

30 in.2

c)

60 in.2

d)

120 in.2

26.

A circle has a radius of 6 inches. What is its approximate circumference?

a)

9 in.

b)

19 in.

c)

38 in.

d)

113 in