File - 6th Grade Math

Grade 6
Review for Test 3-1
Name________________________
Period______
1. Which of the following does NOT show an
additive relationship?
A.
𝒙
1
3
8
10
3. What are the coordinates of the points in the
graph below?
A
π’š
3
9
24
30
1
D
-1
B. 𝑦 = π‘₯ + 5
B
C
1
-1
C. James is five inches taller than Josh.
D.
4. Which of the following statements best
describes the data shown in the table?
𝒙
π’š
1
6
2 3 4
12 18 24
2. Which statement is true about the tables?
Table 1
A. The dependent quantity is 5 more than the
independent quantity.
Table 2
x
y
x
y
0
0
0
4
2
6
2
6
4
12
4
8
6
18
6
10
B. The independent quantity is 5 more than
the dependent quantity.
C. The dependent quantity is 6 times as much
as the independent quantity.
A. Both show an additive relationship
B. Table 1 shows an additive relationship;
Table 2 shows a multiplicative
relationship
C. Table 1 shows a multiplicative
relationship; Table 2 shows an additive
relationship
D. Both show a multiplicative relationship
Page 1 of 6
D. The independent quantity is 6 times as
much as the dependent quantity.
Grade 6
Review for Test 3-1
Name________________________
Period______
5. Jamie is 𝑗 years old. Glenda’s age, 𝑔, is 6
months younger than Jamie. Which equation
best describes the relationship, in years,
between the ages of Jamie and Glenda?
7. The graph shows the number of feet to the
number of inches. If the dependent variable is
24, what is the value of the independent
variable?
A. 𝑔 = 𝑗 + 6
Number of Inches
B. 𝑗 = 𝑔 βˆ’ 0.5
C. 𝑔 = 𝑗 βˆ’ 6
D. 𝑗 = 𝑔 + 0.5
Number of Feet
6. What are the coordinates of the points below?
____ The number of students in the 8th grade is
1
D
C
-1
triple the number of students in the 4th
grade.
A
B
-1
8. Write Valid (V) or Invalid (IV) if the situation
represents an additive relationship.
1
____The number of students in the 9th grade is 14
more than the number of students in the 5th
grade.
____The number of students in the 6th grade is half
the number of students in the 10th grade.
____The number of students in the 6th grade is
three times the number of students in the 9th
grade.
Page 2 of 6
Grade 6
Review for Test 3-1
Name________________________
Period______
9. Mika runs each evening at a constant rate of
speed. She runs 8 miles in one hour. Which
graph best represents the relationship
between time and distance traveled?
A.
10. The graph shows how the amount of rain
depends on the number of days. Write an
equation that could be used to find 𝑦, the
number of inches of rain after π‘₯ days. Then
tell how much rain fell in 9 days.
Summer Rain Storm
20
12
# of Inches
Distance (miles)
16
8
4
Time (hours)
B.
20
Distance (miles)
16
11. Write Valid (V) or Invalid (IV) if the situation
represents an multiplicative relationship.
12
8
____There are three times as many
basketballs than footballs.
4
____There are one-third as many girls as boys
in Coach Brotherton’s 5th period.
Time (hours)
____The number of referrals entered
increases by 13 each month.
20
Distance (miles)
C.
16
____The amount Hayden earns each hour is
$9.50.
12
8
4
Time (hours)
Page 3 of 6
Grade 6
Review for Test 3-1
Name________________________
Period______
12. There are four points graphed on the grid
below.
14. The graph compares the number of people in
the basketball tournament and the number of
teams made. Which statement is true?
A. The number of people in the basketball
tournament depends on the number of
teams made.
B. The number of teams made depends on the
number of people in the tournament.
C. The number of people in the basketball
tournament is the dependent variable.
D. The number of teams made is independent
of the number of people in the basketball
tournament.
Which points on the grid appear to be located at:
5
A) ( 2 ,
3
9
4
) _____
5
B) ( 2 , - 2 )_____
9 5
C) ( - 4 , 2 )_____
13. The table shows the relationship between
Brandon’s age and Carmella’s age. Write an
equation that can be used to find 𝑦, Carmella’s
age when Brandon is π‘₯ years old.
15. The table shows the number of 3 pointers
made and the number of points made on
Friday. Which statement is true?
3-pointers
(x)
4
8
3x
3●4
3●8
Points
Made (y)
12
24
# of Days
A. The number of 3-pointers made is the
dependent variable.
B. The number of 3-pointers made is the
independent variable.
C. The number of points made is the
independent variable.
D. The product of the number of 3-pointers
made and the number of points made is
the dependent variable.
Page 4 of 6
Grade 6
Review for Test 3-1
Name________________________
Period______
16. Math models charges a flat rate of $7.50 for
shipping on items they sell on their online
store. If π‘₯ represents the cost of the items
purchased and 𝑦 represents the total cost with
shipping, write an equation best represents
the relationship between π‘₯ and 𝑦.
17. Based on #16, the table below represents the
relationship between π‘₯ and 𝑦?
Cost of
Items (𝒙)
Total Cost with
Shipping (π’š)
$1.00
$8.50
$3.00
$10.50
$5.00
$12.50
18. Lauren is working on her Science project on a
bacteria population. Write an equation that
could be used to find 𝑦, the number of cells of
the bacterial after π‘₯ hours.
Hours (x)
1
2
4
8
Cells (y)
5
10
20
40
19. Which of the following could be used to
describe the dependent and independent
quantities in the graph?
Which ordered pair would NOT be contained in
the table above?
A. (2.50, 10)
B. (6, 13.50)
A. Dependent quantity: number of pints
Independent quantity: number of cups
C. (7.50, 15)
D. (12.50, 19.50)
B. Dependent quantity: number of quarts
Independent quantity: number of gallons
C. Dependent quantity: number of cups
Independent quantity: number of pints
D. Dependent quantity: number of gallons
Independent quantity: number of quarts
Page 5 of 6
Grade 6
Review for Test 3-1
Name________________________
Period______
20. Write an equation could be used to show the
relationship between π‘₯ and 𝑦.
1
1
5
π’š
2
2
5
3
3
5
4
4
5
22. Which points on the coordinate grid below
1
1
satisfy the conditions π‘₯ < 2 2 and 𝑦 > -12 ?
5
1
D
G
F
THE FOLLOWING QUESTIONS ARE REQUIRED FOR
PRE-AP/GT STUDENTS TO COMPLETE.
C
21. Ben had 3 collectible model cars on his shelf
prior to his birthday party. Ben received
several collective model cars at his birthday
party and plans to put those on his shelf with
the 3 he already has. Which table below
represents the amount of collective model
cars he received at his birthday party and the
total number of cars on his shelf?
A
Total Number of Model Cars
Ben’s Model Cars
Number of Model Cars
A.
x
y
4
7
6
9
7
10
C.
x
y
2
6
4
12
B.
x
y
7
4
9
6
10
7
D.
x
y
6
2
12
4
B
6
18
18
6
Page 6 of 6
E