Unit #1: Number Skills
Which catergories do -144 sqared rooted land in the number system?
Interger, Irrational, and Real
what is 14/6 as a percent?
233%
Solution: Divide 14/6 then mulitply answer by 100
Determine the coefficients and variables in these terms:
Coefficients:
A) 9a
B)-5x8
Variables:
A)7a+9x3
B)2x3+4r2
Solutions:
Coefficients:
A) 9
B) -5
Variables:
A) a
B) x and r
Solve for X:
5(2x+3)=35
Answer: X=2
Distribute 5: 10x+15=35
10x+15=35 Subtract 15 from both sides: 10x=35−15=20
10x=35−15=20 Divide both sides by 10: x=20/10
x=2
What is 65/63 Equal to:
A) 615
B)62
C)68
Answer is B) 62
Solution: Xa/Xb= Xa-b
A rectangular feild measures 24 by 36 meters, what is the perimeter of the feild?
A) 216 meters
B) 72 meters
C) 144 meters
Answer is C) 144 meters
Solution: Add up all sides of the feild (24+24+36+36)
Rectangle A has side lengths of: 5x+9+4cm
Rectangle B has 8 times bigger lengths than rectangle A
What Algebric expression can be used to determine the side lengths of Rectangle B
Solution:
8(5x+9+4cm)
:Use distributive property to solve
What is 41/2 Divided by 11/4 ?
A)31/6
B) 91/2
C)61/3
Answer is C): 61/3
Solution:Turn fractions into impoper, cross multpily fractions to divide, then reduce final answer
If 6 cans of soda costs $4.50, what is the price of one can?
A) $1.50
B) $0.50
C) $0.75
Answer is B) $0.50
Solution: Find unit rate by dividing 6 by 6 and 4.50 by 6
What is the solution to the equation 2(x−3)+(9+5)=16
A) x=4
B) x=5
C) x=6
Answer: A) x=4
Solution: 2(4-3)+(9+5)=16
What is 21/3 X (11/4 - 1/2) ?
A)21/2
B) 23/4
C)22/3
Answer is C): 2 2/3
Solution: turn into imporper fractions, simplify, make common denominators, then reduce answer
A salesperson earns a commission of 2.5% on the first $10,000 of sales and 5% on any additional sales. If they sell $15,000 worth of products, how much commission do they earn?
A) $525
B) $625
C) $825
Answer is C) $825