Rational Numbers
Product and Quotient Rule
Power and negative rule
Scientific Notation
Algebraic Expressions
100
Write 7/40 as a decimal.
When written as a decimal, is the rational number 7/40 a terminating decimal?
0.175
yes
100
Generate an expression that is equivalent to
(4)2 · (4)4 · (4)0.
Give your answer as a number in simplest form.
46 or 4,096
100
True or false?
(p7)2 = p14
True
100
Which of the following expression(s) are written in standard form? Respond with standard form or not standard form.
a. $1.25
b. 1.225 × 109
c. 1.225
d. 1,225,000,000
a. $1.25 Standard
b. 1.225 × 109 Not Standard
c. 1.225 Standard
d. 1,225,000,000 Standard
100
Simplify the expression −3y(−8y + 6).
24y2 − 18y
200
There were 15 questions on the last quiz in Mrs. Lorenzo’s class. A student answered 13 questions correctly. Write the ratio of correct answers to total questions as a decimal.
=
200
Write the simplified expression of the product of a3b4 and a−8b2.
=
200
Express the fraction
1/64
using a negative exponent.
6-4
200
A number is written in ______________________________ when it is written as the product of a factor and an integer power of 10. The factor must be a number less than 10 but greater than or equal to 1.
Scientific Notation
200
Multiply −8y3(2y – 6).
= −16y4 + 48y3
300
Write 19/40 as a decimal
Terminating or not?
0.475
Terminating
300
Simplify the expression
(2a–5)(−5a9).
-10a4
300
Generate an expression that is equivalent to (23 · 41)3
29 · 43
32,768
300
Write 7.2 × 10–3 in standard form.
0.0072
300
A square room has side lengths that can be represented by the expression 6x3 feet. Kyra wants to cover the floor in square tiles with side lengths that can be represented by the expression 3x feet.
A. Which of the following statements are correct? Select all that apply.The area of one tile is 3x2 ft2.
The area of one tile is 9x2 ft2.
The area of the floor is 36x3 ft2.
The area of the floor is 18x4 ft2.
The area of the floor is 36x6 ft2.
B. If x = 3, then what number of tiles will be needed to cover the floor?
A.
The area of one tile is 9x2 ft2
The area of the floor is 36x6 ft2.
B. 324 tiles
400
Describe what a rational number is and provide examples
Answers may vary
400
Simplify
[5(-4)6(5)2]/[(-4)2(-4)2(5)0
= 53 • (−4)2
= 2,000
400
Simplify the expression (6d/d4 )–2
d6/36
400
Which of the following is most appropriate to describe the average distance from Earth to the Sun?
A 1.5 × 1014 mm
B 1.5 × 1013 cm
C 1.5 × 1011 m
D 1.5 × 108 km
D. 1.5 × 108 km
400
Factor the expression
(10n8 + 55n4 ).
5n4 (2n4 + 11)
500
What is the fraction representation of the rational
-0.416666666666.... number ?
So, the decimal can be written as the fraction
.
500
Simplify
(36 · 73 · 116)/(33 · 72 · 114)
33 · 7 · 112
500
Find the value of x in the equation 8p54 = (2p3x) 3 .
x = 6
500
Ryan downloaded a video game to his computer. The size of the file was 2.4 × 105 kilobytes. After the game was installed, he downloaded a patch file for the game that was 48,000 kilobytes in size.
A. What is the size of the game in standard form?
B. How many times larger was the game than the patch file?
A. 240,000
B. 5
500
Jax is painting a wall with a width that is 7 feet shorter than 5 times its height. Write two equivalent expressions for the area of the wall.
h(5h - 7) and 5h2 - 7h