Unit Rates and Better Buy
Proportions
Arithmetic Sequences
Expressions and Equations
Taxes and Discounts
100
If one loaf of bread with 24 slices costs $3.60, what is the the cost of one slice of bread?
$0.15
100
Does the following lists of ratios represent a proportional relationship? 4:9; 2:3; 14:21; 28:42
Yes. Each of the ratios above are equivalent to the simplified ratio: 2:3.
100
Is there a pattern to the following sequence: 14,8,2,-4? If so, what is the pattern?
Yes. The pattern is -6 (or subtract 6 from the previous term.)
100
Does the expression 4n match the following word expression: 4 times a number?
Yes.
100
If Anthony purchases a $40.00 item at the sporting goods store, what will be his final cost after an 8% sales tax is applied?
$43.20.
200
If one gallon of milk costs $2.00, how much does one ounce of milk cost? Hint: 1 gallon = 128 ounces.
$.02
200
A grocery store sells 4 bunches of green onions for $1.00. Hank needs 9 bunches to make salsa. What is the cost of 9 bunches of onions?
$2.25.
200
Write an expression that can be used to find the nth term in the following sequence: 2, 6, 10, 14.
4n - 2.
200
What is the expression for the following word expression: 17 less than 2 times a number?
2n - 17.
200
The after-tax price of a pair of shoes is $68.00. What would be the final cost after a 30% discount?
$47.60.
300
A 24 ounce jar of cheese sauce costs $1.44. A 16 ounce jar costs $0.80. Which is a better buy?
24 ounce jar costs $0.06 per ounce, and the 16 ounce jar costs $0.05 per ounce. Therefore, the 16 ounce jar is the better buy.
300
Does the following linear equation represent a proportional relationship: y = x+ 1?
No
300
A restaurant has square tables which seat four people. When two tables are placed together, six people can be seated. Three tables seat 8 people. If 1000 square tables are placed together to form one very long table, how many people can be seated?
1,002 people. (Expression is 2n + 2)
300
Brad rents a jet ski. The cost of the jet ski is $25 per hour plus a $30 deposit. Write the equation that represents total cost, where C is cost and h is number of hours.
C = 25h + 30.
300
A bag of 6 apples costs $2.40. How much does one apple cost, after an 8% sales tax is applied?
$0.43
400
A delivery company charges $9.00 to deliver 2 lb. A competitor charges $14.25 to deliver 3 lb. Which company has the better rate?
The delivery company charges $4.50 per pound, whereas the competitor charges $4.75 per pound. Therefore, the delivery company is the better buy.
400
Tyler has a record of winning 4 boxing matches for every 3 he loses. If he had 23 matches during the last year, how many did he win?
13 matches
400
Bob’s BBQ charges $9 to deliver the first dinner to our door. Each additional dinner cost $7. Five dinners would cost $37. Write an algebraic expression to determine how much n dinners would cost.
7n + 2.
400
Brooke sold a third as many books this week as last week. If she sold sixty books last week, how many did she sell this week?
20 books.
400
Coach James is buying a baseball glove for his son. The price on the tag is $42.00. After an 8% sales tax and a 30% discount, what would Coach pay?
$31.75.
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