Expressions
Yesterday, the temperature at noon was 11.4°F. By midnight, the temperature had decreased by 15.7 degrees. What was the temperature at midnight? (2015 NYS Test)
A. −4.3 °F B. −11.4 °F C. −15.7 °F D. −27.1 °F
A. −4.3 °F
Craig went bowling with $25 to spend. He rented shoes for $5.25 and paid $4.00 for each game. What was the greatest number of games Craig could have played? (2014 NYS Test)
A 4 B 5 C 6 D 7
A 4
The scale model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches. What is the length, in feet, of the actual train car? (2014 NYS Test)
A 67.5 B 32.4 C 14.5 D 2.7
A 67.5
Joseph's lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip for 17% of the cost of the lunch without tax. What is the total cost of the lunch, including the tip, without tax?
$15.21
Sara is playing a board game. The probability that Sara will score a point on her next turn is 1/3. Which statement describes the probability that Sara will score a point on her next turn? (2015 NYS Test)
A likely B certain C unlikely D impossible
C unlikely
Altitude above sea level is given in positive values and below sea level is given in negative values. Which situation describes a hiker in Death Valley stopping at an altitude of 0 feet? (2015 NYS Test)
A. The hiker starts at −10 feet then increases altitude by 10 feet.
B. The hiker starts at −10 feet then decreases altitude by 10 feet.
C. The hiker starts at 10 feet then increases altitude by 10 feet.
D. The hiker starts at 0 feet then decreases altitude by 10 feet.
A. The hiker starts at −10 feet then increases altitude by 10 feet.
Solve for x.
0.5x + 78.2 = 287
(2014 NYS Test)
A x = 104.4 B x = 417.6
C x = 495.8 D x = 730.4
B 417.6
Ms. Graves gave her class 12 minutes to read. Carrie read 5 1/2 pages in that time. At that rate, how many pages per hour, did Carrie read? (2014 NYS Test)
A 1 1/10 B 22 C 27 1/2 D 66
C 27 1/2 pages
Sally has a discount card that reduces the price of her grocery bill in certain grocery stores by 5%. If c represents the cost of Sally's groceries, which expression represents Sally's grocery bill? (2014 NYS Test)
A 0.05c B 0.95c C c-0.05 D c+0.95
B 0.95c
A cereal company puts a colored ring in each box of cereal. There are 6 different ring colors. The color of the rings in each of 50 cereal boxes are shown below.
Ring Colors in Cereal Boxes:
Red 7
Blue 15
Green 8
Purple 10
Yellow 5
Orange 5
Based on the data, what is the probability that the next cereal box will contain a blue or a yellow ring? (2015 NYS Test)
A 1/6 B 2/5 C 3/5 D 2/3
B 2/5
Which expression is equivalent to 4 – (-7) ? (2016 NYS Test)
A. 7 + 4 B. 4 – 7 C. -7 – 4 D. - 4 + 7
A. 7 + 4
For her cell phone plan, Heather pays $30 per month plus $0.05 per text. She wants to keep her bill under $60 per month. Which inequality represents the number of texts, t, Heather can send each month while staying within her budget?
A t < 600 B t > 600 C t < 1,800 D t > 1,800
A t < 600
The label on a 1 1/2 pound bag of wildflower seeds states that it will cover an area of 375 square feet. Based on this information, what is the number of square feet that 1 pound of wildflower seeds will cover? (2014 NYS Test)
A 1/250 B 250 C 562 1/2 D 750
B 250
A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price. The customer was charged a 7% tax when the DVD was sold. What was the customer's total cost for the DVD? (2014 NYS Test)
A $12.84 B $18.42 C $18.84 D $19.26
D $19.26
A storeowner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, which number is closest to the probability that the next customer will buy a blank card? (2014 NYS Test)
A 0.11 B 0.33 C 0.56 D 0.89
A 0.11
Which expression represents a factorization of 32m+56mp? (2015 NYS Test)
A 8(4m+7p) C 8p(4+7m)
B 8(4+7)mp D 8m(4+7p)
D 8m(4+7p)
Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. The items she bought cost a total of $160 before tax was added. What was the cost of each sweater? (2014 NYS Test)
A $20 B $35 C $40 D $45
B $35
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk? (2015 NYS Test)
A 1/12 B 3/4 C 11/12 D 1 1/3
B 3/4
The population of a city is expected to increase by 7.5% next year. If p represents the current population, which expression represents the expected population next year? (2014 NYS Test)
A 1.75P B 1.075P C P + 0.075 D 1 + 0.075
B 1.075P
An owner of a small stores knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer will pay with cash? (2014 NYS Test)
A 1/5 B 1/4 C 1/3 D 1/2
A 1/5
Graham’s monthly bank statement showed the following deposits and withdrawals:
−$25.20, $52.75, −$22.04, −$8.50, $94.11
If Graham’s balance in the account was $47.86 at the beginning of the month, what was the account balance at the end of the month? (2014 NYS Test)
$138.98
Ben earns $9 per hour and $6 for each delivery he makes. He wants to earn more than $155 in an 8-hour workday. What is the least number of deliveries he must make to reach his goal? (2015 NYS Test)
A 11 B 12 C 13 D 14
D 14
Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1 3/4 hours cleaning, 2 1/3 hours doing paperwork, and 1 5/12 hours serving customers. What were Doug's earnings? (2014 NYS Test)
A $46.97 B $47.25 C $53.00 D $57.75
D $57.75
A store sold 650 bicycles last year. This year the store sold 572 bicycles. What is the percent decrease in the number of bicycles sold from last year to this year? (2014 NYS Test)
A 12% B 14% C 78% D 88%
A 12%
An after school program offers tutoring for different subjects. During the last month, a teacher recorded the number of students who participated in the tutoring in each subject, as shown in the table below.
Tutoring Participation
Subject - Number of Students
Math - 40
Science - 55
English - 47
History - 58
Explain how the teacher could use this data to predict about how many of the next 100 students will participate in math tutoring. (2016 NYS Test)
Using the table, 40 out of 200 students participated in math tutoring. This is 0.2 or 20%. We can use this to determine that 20 out of the next 100 students will participate in math tutoring.