G8 T1 Pretest
Name: _________________________________________ Date:________________
Grade 8 Trimester 1 Pretest 1. What is the fractional equivalent of .89?
2.
A
8/9
B
89/10
C
89/100
D
1/89
Try to estimate β46, in between what two integers does your estimate lay? A
9 and 10
B
7 and 8
C
6 and 7
D
5 and 6
2. For each of the following, circle yes if the number is a rational and no if they are not.
A
β2
Yes/no
B
ΒΎ
Yes/No
C
π
Yes/No
D
6.54841 Yes/No
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 1
3. Which of the following is not a rational number?
A
1.5
B
1.5
C
1/5
D
β15
5. In the following, circle the first or second number, whichever one is larger.
6.
A
β42 and π
B
β91 and β33
C
β104 and β63
D
β29 and β45
Simplify the exponential expression below in terms of the variable.
π₯ 3 β π₯ 5 β π₯ β6 A
π₯ β90
B
π₯2
C
π₯4
D
π₯ β1
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 2
7.
Solve the equation below using properties of combining exponents. β1
62 β 65 ( 8 ) 6
8.
A
64
B
8
C
6
D
36
=
Circle the larger number in each of the four pairs below, indicate if itβs the first or second.
A B C D
β144 or 13 3
β89 or 22 3
23 or β64 3
β5024 or 42
9. What is the value of the following equation below in scientific notation? (5.67 β 103 ) β (78.9 β 105 ) =
A
44.736 β 1011
B
4.4736 β 1011
C
4.4736 β 109
D
4.4736 β 1010
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 3
10. What is the value of the following equation below in scientific notation? (3.2 β 10β1 ) Γ (9.1 β 106 ) Γ· (8.7β 103 ) = A
3.347126 β 103
B
3.347126 β 103
C
3.347126 β 103
D
3.347126 β 103
11. Angel hair pasta costs $2.50 for 2 pounds. Find the unit cost in dollars per kilogram. There are 2.2 pounds per kilogram.
A
$0.57/kg
B
$1.25/kg
C
$0.63/kg
D
$2.75/kg
12. In 20 minutes, the printing presses of El Tiempo can make 480 copies. The presses at The Angelsβ Examiner produce a copy every 3 seconds. How much faster are the presses at El Tiempo?
A
24 copies/minute faster
B
8 copies/minute faster
C
20 copies/minute faster
D
4 copies/minute faster Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 4
13. Tell whether the pair of triangles is similar or not.
A
yes
no
B
yes
no
C
yes
no
D
yes
no
14. Ato Bolton ran 100 meters in 10.0 seconds. Seabiscuit ran 1Β½ miles in 2Β½ minutes. How many meters per second faster is Seabiscuit than Ato Bolton? (1600 meters is 1 mile) A
10 m/sec
B
6 m/sec
C
860 m/sec
D
950 m/sec
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 5
15. Find an equation relating x and y, if the point (3, 2) is on the line relating x and y, and the line has a slope of 2.
A
y = 2x + 2
B
y = β2π₯ + 2
C
π¦ = 2π₯ β 4
D
y = 2x β 1
1
7
16. Convert 0.44 to a fraction. Is it irrational?
17. Carla built a perfectly cubic box. The volume of the box is 216 cubic inches. How long is a side length of the box?
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 6
18. Find the value of the variable using the properties of radicals and exponents. 3
2
( βπ₯) = 64
19. Albert was faced with this problem: βFind the slope between (-3, 4) and (5, 0).β 5β3 2 1 He wrote down, β0β4 = β4 = β 2β What did he do wrong? What answer should he have gotten? How would you grade him if You were the teacher?
20. Matt spent two hours fishing on Saturday and caught eight fish. He spent three and a half hours and caught fourteen fish. Is the relationship between time and fish caught proportional, linear, exponential or none of these? Explain how you know.
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 7
Grade 8 Trimester 1 Pretest 1. What is the fractional equivalent of .89?
2.
A
8/9
B
89/10
C
89/100
D
1/89
Try to estimate β46, in between what two integers does your estimate lay? A
9 and 10
B
7 and 8
C
6 and 7
D
5 and 6
2. For each of the following, circle yes if the number is a rational and no if they are not.
A
β2
Yes/no
B
ΒΎ
Yes/No
C
π
Yes/No
D
6.54841 Yes/No
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 1
3. Which of the following is not a rational number?
A
1.5
B
1.5
C
1/5
D
β15
5. In the following, circle the first or second number, whichever one is larger.
6.
A
β42 and π
B
β91 and β33
C
β104 and β63
D
β29 and β45
Simplify the exponential expression below in terms of the variable.
π₯ 3 β π₯ 5 β π₯ β6 A
π₯ β90
B
π₯2
C
π₯4
D
π₯ β1
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 2
7.
Solve the equation below using properties of combining exponents. β1
62 β 65 ( 8 ) 6
8.
A
64
B
8
C
6
D
36
=
Circle the larger number in each of the four pairs below, indicate if itβs the first or second.
A B C D
β144 or 13 3
β89 or 22 3
23 or β64 3
β5024 or 42
9. What is the value of the following equation below in scientific notation? (5.67 β 103 ) β (78.9 β 105 ) =
A
44.736 β 1011
B
4.4736 β 1011
C
4.4736 β 109
D
4.4736 β 1010
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 3
10. What is the value of the following equation below in scientific notation? (3.2 β 10β1 ) Γ (9.1 β 106 ) Γ· (8.7β 103 ) = A
3.347126 β 103
B
3.347126 β 103
C
3.347126 β 103
D
3.347126 β 103
11. Angel hair pasta costs $2.50 for 2 pounds. Find the unit cost in dollars per kilogram. There are 2.2 pounds per kilogram.
A
$0.57/kg
B
$1.25/kg
C
$0.63/kg
D
$2.75/kg
12. In 20 minutes, the printing presses of El Tiempo can make 480 copies. The presses at The Angelsβ Examiner produce a copy every 3 seconds. How much faster are the presses at El Tiempo?
A
24 copies/minute faster
B
8 copies/minute faster
C
20 copies/minute faster
D
4 copies/minute faster Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 4
13. Tell whether the pair of triangles is similar or not.
A
yes
no
B
yes
no
C
yes
no
D
yes
no
14. Ato Bolton ran 100 meters in 10.0 seconds. Seabiscuit ran 1Β½ miles in 2Β½ minutes. How many meters per second faster is Seabiscuit than Ato Bolton? (1600 meters is 1 mile) A
10 m/sec
B
6 m/sec
C
860 m/sec
D
950 m/sec
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 5
15. Find an equation relating x and y, if the point (3, 2) is on the line relating x and y, and the line has a slope of 2.
A
y = 2x + 2
B
y = β2π₯ + 2
C
π¦ = 2π₯ β 4
D
y = 2x β 1
1
7
16. Convert 0.44 to a fraction. Is it irrational?
17. Carla built a perfectly cubic box. The volume of the box is 216 cubic inches. How long is a side length of the box?
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 6
18. Find the value of the variable using the properties of radicals and exponents. 3
2
( βπ₯) = 64
19. Albert was faced with this problem: βFind the slope between (-3, 4) and (5, 0).β 5β3 2 1 He wrote down, β0β4 = β4 = β 2β What did he do wrong? What answer should he have gotten? How would you grade him if You were the teacher?
20. Matt spent two hours fishing on Saturday and caught eight fish. He spent three and a half hours and caught fourteen fish. Is the relationship between time and fish caught proportional, linear, exponential or none of these? Explain how you know.
Copyright Β© Swun Math Grade 8 Tri 1 Pretest, Page 7
