Grade 8 Mathematics North Carolina End-of-Grade Assessment

Released Items

Published January 2019

Grade 8 Mathematics North Carolina End-of-Grade Assessment

Public Schools of North Carolina Department of Public Instruction | State Board of Education Division of Accountability Services/North Carolina Testing Program Copyright ? 2019 by the North Carolina Department of Public Instruction. All rights reserved.

GRADE 8 MATHEMATICS--RELEASED FORM

Sample Questions

S1 Kerry walks 3 miles each day. How far will she walk in 7 days?

A 10 miles

B 14 miles

C 21 miles

S2

D 24 miles

D What number is represented by point P on the number line below?

P

E ?10 ?9 ?8 ?7 ?6 ?5 ?4 ?3 ?2 ?1 0 AS Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, and / are allowed in your answer.

Answers that are mixed numbers must be entered as an improper fraction or

RELE decimal.

1

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GRADE 8 MATHEMATICS--RELEASED FORM

S3 What fraction of the circle is shaded?

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or

RELEASED decimal.

2

GRADE 8 MATHEMATICS--RELEASED FORM

1 What is the equation of the line graphed below? y

+6

+5

+4

+3

+2

+1

x ?6 ?5 ?4 ?3 ?2 ?1 0 +1 +2 +3 +4 +5 +6

A B C D

?1 ?2 ?3

D ?4

?5

E ?6

S y

=

2 3

x

- 2

A y

=

2 3

x

+ 3

E y = 3 x - 2 L 2

E y = 3 x + 3 R 2

3

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GRADE 8 MATHEMATICS--RELEASED FORM

2

Which graph has a slope that is

1 4

unit greater than the slope of the graph

of y = x ? 2?

A

y

+8

+7

+6

+5

+4

+3

B

+2

+1

?8 ?7 ?6 ?5 ?4 ?3 ?2 ?1?10 +1 +2 +3 +4 +5 +6 +7 +8

x

D ?2

?3

E ?4

?5

?6

S ?7

?8

A y E +8 L+7

+6 +5

E+4

+3

R+2

+1

?8 ?7 ?6 ?5 ?4 ?3 ?2 ?1?10 +1 +2 +3 +4 +5 +6 +7 +8

x

?2

?3 ?4 ?5

?6 ?7

?8

Answer choices C and D are on the following page. 4

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GRADE 8 MATHEMATICS--RELEASED FORM

C

y

+8

+7

+6

+5

+4

+3

+2

+1

?8 ?7 ?6 ?5 ?4 ?3 ?2 ?1?10 +1 +2 +3 +4 +5 +6 +7 +8

x

D

?2 ?3 ?4 ?5

D ?6

?7

E ?8 S y

+8

A +7

+6

E +5

+4

+3

L+2

+1

E x ?8 ?7 ?6 ?5 ?4 ?3 ?2 ?1 0 +1 +2 +3 +4 +5 +6 +7 +8 ?1 R?2

?3

?4

?5

?6 ?7

?8

5

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GRADE 8 MATHEMATICS--RELEASED FORM

3 Susan recorded the time she ate dinner and the number of calories she consumed during dinner for six consecutive days. The results are shown in the table.

Time

Calories

4:00 p.m.

600

5:30 p.m.

750

6:30 p.m.

700

5:30 p.m.

900

4

7:30 p.m.

400

8:30 p.m.

800

D Which best describes the association between the time Susan ate dinner and the

number of calories she consumed?

E A positive S B negative A C irrational

D almost none

LE Which choice is an irrational number?

RE A

4

B

6 2

C

18

D 21.989

6

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GRADE 8 MATHEMATICS--RELEASED FORM

5 In which choice is y a nonlinear function of x?

A

y

=

x 4

+ 5

B y = 10 + x

C

y

=

x +3 4

- 2x

D

y

=

2 x +3

-5

6

D Mr. Jones determined that the equation

y

=

98

-

16 x

5

could be used to predict his

students' unit test scores, based on the number of days, x, a student was absent

E during the unit. What is the meaning of the y-intercept of the function?

S A A student who was not absent during the unit should score about 98.

A B A student who was not absent during the unit should score about 94.5.

C A student's test score should increase by about 3.2 points for each day the

E student is absent.

L D A student's test score should decrease by about 3.2 points for each day the RE student is absent.

7

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