WorksheetsWeek 1 Review
Total questions: 50
Worksheet time: 2hrs 52mins
Name
Class
Date
1.
In order to multiply powers with the same base, we add their exponents.
a)
True
b)
False
2.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
3.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
4.
(28)2
a)
216
b)
210
c)
26
d)
24
5.
Simplify 4-2=
a)
-16
b)
0.0625
c)
-42
d)
0.25
6.
Anything raised to a power of zero is always:
a)
0
b)
itself
c)
1
d)
negative
7.
Simplify (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
8a6b8z5
d)
12a5b6z6
8.
Write in scientific notation: 0.0000378
a)
3.78 x 10-6
b)
3.78 x 10-5
c)
0.378 x 10-5
9.
How would you write 4.3756 x 104 in standard form?
a)
437560000
b)
0.00043756
c)
43756
10.
Express the following in standard notation: 8.025 x 10-8
a)
0.000000008025
b)
802500000000
c)
80250000000
d)
0.00000008025
11.
Express the following in scientific notation: 0.0000002203
a)
2.203 x 10-7
b)
22.03 x 10-6
c)
.02203 x 107
d)
22.03 x 106
12.
The diameter of a carbon atom is 0.000 000 000 154 m. What is this number expressed in scientific notation?
a)
1.54 x 1012 m
b)
1.54 x 10-12 m
c)
1.54 x 10-10 m
d)
1.54 x 1010 m
13.
Classify the following: -78
a)
integer
b)
integer, real
c)
integer, rational, real
d)
integer, whole, rational
14.
Classify the following: √13?
a)
rational
b)
irrational
15.
All whole numbers are rational numbers
a)
True
b)
False
16.
What is the definition of an integer
a)
All positive whole numbers
b)
All positive and negative whole numbers
c)
Decimals or fractions that terminate for repeat
17.
Natural numbers are:
a)
1.5, 2, 2.5, 3, . . .
b)
0,1,2,3,4,5...
c)
1, 2, 3, 4, . . .
d)
. . . , -2, -1, 0, 1, 2, . . .
18.
A repeating decimal or decimal that terminates is called a
a)
Rational Number
b)
Irrational Number
c)
Natural Number
19.
What is true about irrational numbers?
a)
They are terminating decimals.
b)
They are non-repeating decimals.
c)
They are fractions.
d)
They are natural numbers.
20.
How would 5/9 be classified?
a)
whole and integer
b)
only real
c)
only irrational
d)
rational and real
21.
Solve for x in the equation 3x - 5 = 2x + 7
a)
x = 12
b)
x = 5
c)
x = 3
d)
x = -2
22.
Solve for y in the equation 5y - 3 = 2y + 9
a)
y = 3
b)
y = 6
c)
y = 10
d)
y = 5
23.
Solve for y in the equation 3(2y + 4) = 5y - 7
a)
y = -5
b)
y = 10
c)
y = -19
d)
y = 3
24.
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
25.
Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.
a)
11 + 6x = 39
b)
11x - 6 = 39
c)
11x + 6 = 39
d)
66x = 39
26.
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?
a)
45
b)
54
c)
65
d)
56
27.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
6 hours
b)
5 hours
c)
7 hours
d)
4 hours
28.
x + 5 > 7
a)
x > -2
b)
> 2
c)
x > 12
d)
x > -12
29.
-9x + 7 ≥ 25
a)
x ≥ -3.6
b)
x ≤ 2
c)
x ≥ -2
d)
x ≤ -2
30.
Translate: A number increased by 4 is no more than -18.
a)
x + 4 < -18
b)
x + 4 > -18
c)
x + 4 ≤ -18
d)
x + 4 ≥ -18
31.
Translate: Twice a number is smaller than 42.
a)
2x < 42
b)
2x > 42
c)
2x ≤ 42
d)
2x ≥ 42
32.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
33.
If three sides of a right triangle are 50, 40, and 30, which side is the hypotenuse?
a)
50
b)
40
c)
30
34.
Do these 3 side lengths form a right triangle? 13, 80, and 81?
a)
yes
b)
no
35.
a = 2.1, b = 7.2, c = 7.5 Is this a right triangle?
a)
yes
b)
no
36.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
37.
Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.
a)
810 cm³
b)
2543.4 cm³
c)
847.8 cm³
d)
2826 cm³
38.
Jack wants to know how much water sphere can hold with a radius of 8 cm. Find the volume.
a)
83.6cm³
b)
2144.7cm³
c)
254cm³
d)
2220cm³
39.
A sphere has the radius of 5 inches. Leave answer π form.
a)
166.7π
b)
123.8π
40.
A sphere has the volume of 905cm rounded to the nearest whole number. What is the radius of the sphere?
a)
9
b)
6
41.
Find the volume of the cylinder.
a)
4239
b)
1130
c)
1696
d)
565
42.
Find the volume of the cone
a)
100.5 ft³
b)
8.4 ft³
c)
25 ft³
d)
16.8 ft³
43.
Find the volume of the cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
44.
Use Pythagorean Theorem to solve.
a)
50
b)
75
c)
64
d)
45
45.
Use Pythagorean Theorem to solve.
a)
7
b)
8
c)
17
d)
23
46.
Use Pythagorean Theorem to solve.
a)
9.4 m
b)
88 m
c)
15.8 m
d)
4m
47.
a)
b)
c)
d)
48.
Find the volume of the given sphere.
a)
418.7 cubic ft
b)
3,984.6 cubic ft
c)
4,188.8 cubic ft
d)
4,319.8 cubic ft
49.
Find the RADIUS of the cylinder. Round your answer to the nearest whole number.
V = 2769 in3
h = 18 in
a)
49 in
b)
6 in
c)
7 in
d)
36 in
50.
Using the Pythagorean Theorem, find the area of the missing square (seen in picture)
a)
75 cm2
b)
105 cm2
c)
135 cm2
d)
30 cm2
100 %
