Topic 1: Solve Problems Involving Real Numbers
Is the number 65.434322... irrational or rational?
irrational
Apply the laws of exponents: (11^6)^2
11^8
Jordan wrote the following description: Three fewer than one fourth of x is 12. Write an equation to represent the description
1/4x-3=12
Identify the constant of proportionality:
y=-1000x
-1000
NO CALCULATORS:
What is 50% of 80?
40
Is the fraction 5/9 irrational or rational?
rational
Apply the Laws of Exponents: (1/4)^4 x (1/4)^5
(1/4)^9
Combine like terms to solve:
-3.8x -5.9x =223.1
x= -23
What equation is used to represent any proportional relationship?
y=kx
3^2 X 4 +2
38
NO CALCULATORS ALLOWED: What is the decimal equivalent to 7/20?
0.35
Apply the Laws of Exponents: 7^12 / 7^3
7^9
Solve the equations:
5.3g + 9 = 2.3g +15
g = 2
Does the table represent a proportional relationship? If so, what is the constant of proportionality?
x|2|4|6
y|5|10|15
yes; 2.5
NO CALCULATORS:
5/8 X 1/2
5/16
NO CALCULATOR ALLOWED: What is the square root of 196?
14
Write this number in standard form:
9.296 x 10^7
92,960,000
What is the solution to the equation:
3(x+2) = 2(x+5)
x=4
If 1L=1.06 qt
10L=____qt
10.6/10.5
NO CALCULATORS:
1.44/0.3
4.8
Order the numbers from least to greatest:
A) 2.9 + square root of 25
B) 2 squared + 0.5 - cube root of 27
c) cube root of 64 x 1.9
B, C, A
Write this number in standard form:
7.03 x 10^-6
0.00000703
(5 zeroes)
Solve the inequality AND graph it:
4 - 6.5x < 36.5
x > -5
If Hector is 8 years old and Camila is 3 years old, how old will Camila be when Hector is 16?
11 years old
NO CALCULATORS:
Jen grew 4/5 of an inch last summer. Sang grew 3/8 of an inch last summer. Who grew more AND by how much?
Jen; 0.425 inchens or 17/40 inches