Rational Numbers
What is a rational number?
Numbers that can be written as a fraction WITHOUT zero as a denominator. They can be positive or negative.
Jamal is making a scale drawing of his property. The drawing is 15 inches long and 12 inches wide. How long and wide is the property if one inch equals 5 feet?
75 feet long and 60 feet wide
Percents are always out of what total?
Percents can be converted into _________ and ________ by dividing.
100
Decimals; Fractions
Find the Unit Rate for each problem below:
1. $112 in 8 hours 2. 150 miles in 6 gallons
1. $14 per gallon 2. 25 miles per gallon
Which value of W makes the equation below correct?
4w+12=60
W=12
Julia withdrew a total of $24.40 from her bank account over 5 days. She withdrew the same amount each day. By how much did the amount in her bank account change each day?
-$4.88
The Kerwoods went out to eat at Chilli's. If their bill was $58.65 and they gave their server a 15% tip, how much did they pay altogether?
$67.45
What is 30% of $320
96
Steve was offered $5,025 per year for a weekend lifeguarding job at a local pool. He wants to know how much his monthly income will be at this salary level. What is his rate of pay in dollars per month?
$418.75 per month
31=-x-8
X=-39
Mr and Mrs Smith had $2670 in their bank account. At the end of the month they had to pay three bills. Their telephone bill was $96.40, their gas bill was $2030.20 and their electricity bill was $1450.30. How much would Mr and Mrs Smith need to pay into their account to clear their overdraft/ negative account?
$906.90
Ryan transfers 15% of his monthly pay into a savings account. If Max makes $1850 per month, how much will he save in a year?
$3,330
A local college recently reported that enrollment increased to 108% percent of last year. If enrollment last year was at 17,113, about how many students enrolled this year? Round to the nearest whole number.
35,595 students are projected to enroll
Marilyn ate 320 pounds of vegetables last year. How many ounces did she eat per month? What about per week? Round to the nearest tenth.
26.7 pounds of vegetables per month. 6.7 pounds of vegetables per week.
Simplify: - 1/2 (10-2 1/2y+ 1/4y)
-5 + 1 1/8y
Solve
-(5/6)-(-2/3)
-1/6
You have been asked to build a scale model of a restaurant out of bottle caps. The restaurant is 20 feet tall. Your scale is 2.4 cm : 1 foot. a. A bottle cap is 1.2 cm tall. About how many bottle caps tall will your model be?
40 bottle caps.
73 is 20% of what number?
73 divided by .20 is 365
JoAnne is depositing money into a bank account. After 3 months there is $150 in the account. After 6 months, there is $300 in the account. Find the constant rate of change of the account.
$50 per month
Solve and graph this inequality: -3x-2x<5
x>-1
Beth poured 1 2/3 buckets of water into her bathtub. A few minutes late she poured another 1 and 1/4 buckets of water into the tub. If each bucket holds 2 Liters of water . How many liters of water did Beth pour into the tub?
35/6 Liters or 5 and 5/6 Liters
Jen borrowed $1500 from her parents for car repairs. She plans to take 10% of her $450 weekly income to pay them back. At this rate, how many weeks will it take her to pay off the long?
34 weeks because there isn't .33 of a week.
1. 25% of 176 is what number?
2. 24 is what percent of 30?
(.25)(176)=___
24= P (30)
Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge. Is the cost proportional to the number of pies ordered? Use a table of values to explain your reasoning.
Yes at this rate- 12 pies would total $54 for one
How old am I if 600 reduced by twice my age is 424?
88 years old