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Algebraic Expressions and Variables
Fractions
Circles
Integers
Miscellaneous
100
A school sold adult tickets and children's tickets to a football game. The number of children's tickets sold was 56 more than one-third the number of adult tickets. Which expression describes the number of children's tickets sold? A. 1/3a-56 B. a/3+56 C. 56a/3 D. 3/1+56
B. a/3+56
100
Two-thirds of Mrs. Jensen's class passed the science exam. If there are 24 students in her class, how many passed the exam? A. 13 B. 14 C. 15 D. 16
D. 16
100
Mr. Dunn is painting a large circle in the middle of a gymnasium. The diameter of the circle is 12 feet. What is the approximate area of the circle? A. 18.84 ft squared B. 37.68 ft squared C. 75.36 ft squared D. 113.04 ft squared
B. 113.04 ft squared
100
A mountain biker begins at the top of a mountain with an elevation of 8,453 feet. He rides 2,508 feet down the mountain before taking a break. He then rides another 584 feet up the mountain. At what elevation is he now? A. 11,545 feet B. 10,961 feet C. 9,037 feet D. 6,529 feet
D. 6,529 feet
100
Mrs. Logan ordered 12 new desks and 20 new chairs for her classroom. The total cost of the desks and chairs was $1,260. If each chair cost $30, what was the cost of each desk? A. $50 B. $55 C. $58 D. $60
B. $55
200
The number of girls that registered to play basketball in a summer league is 15 fewer than twice the number of boys. If b is the number of boys, which expression describes the number of girls that registered? A. 2b/15 B. 1/2b+15 C. 15+2b D. 2b-15
D. 2b-15
200
What is the difference between 7/10 and 5/4? A. 11/20 B. 1 1/20 C. 5/10 D. 3/4
A. 11/20
200
The circumference of a stone is 25.9 inches. What is the approximate diameter? A. 2.87 in B. 4.13 in C. 6.48 in D. 8.25 in
D. 8.25 in
200
If -7 is added to a number, the result is 12. What is the number? A. -5 B. 5 C. 12 D. 19
D. 19
200
Myra took her 5 children out for ice cream. Each child ordered a single scoop of ice cream on a cone. The clerk added $0.87 to Myra's bill for sales tax. Myra paid a total of $15.37. If each cone cost the same amount, what was the cost of one cone? A. $2.82 B. $2.90 C. $3.07 D. $3.25
B. $2.90
300
The number of students in an incoming freshman class is 3 times the number of students in the sophomore class divided by 4. Which expression describes the number of students in the incoming freshman class? A. 4y+3 B. 3y/4 C. 4/3y D. 3y-4
B. 3y/4
300
A muffin recipe calls for 1 3/8 cups of oil. If Sean triples the recipe, how many cups of oil does he need? A. 3 1/8 cups B. 4 1/8 cups C. 4 1/4 cups D. 4 3/8 cups
B. 4 1/8 cups
300
What is the radius of a circle that has a circumference of 50.24 inches? A. 8 inches B. 16 inches C. 20 inches D. 32 inches
A. 8 inches
300
Four team members each have -120 points. How many points do they have together as a team? A. -480 B. -360 C. 240 D. 360
A. -480
300
Eighty-four percent of student athletes attended a preseason meeting. If there are 175 student athletes, how many attended the meeting? A. 28 B. 84 C. 128 D. 147
D. 147
400
If the expression 9x-y/5 represents the distance between Elizabeth's house and her grandparents' house, and x=12 and y=3, what is the distance from Elizabeth's house to her grandparent' house? A. 16.2 miles B. 21.0 miles C. 22.2 miles D. 105.01 miles
B. 21.0 miles
400
Not including 1 and 24, how many whole numbers are factors of 24? A. 4 B. 5 C. 6 D. 7
C. 6
400
What is the approximate difference in area between a circle with radius 5 inches and a circle with radius 6 inches? A. 1.0 B. 3.14 C. 6.28 D. 34.54
D. 34.54
400
Karin owes her sister $1,554. She has budgeted an equal amount of money over the next 6 months to pay her sister back. How much money will Karin pay her sister each month? A. $257 B. $258 C. $259 D. $260
C. $259
400
If -10 is subtracted from a number, the result is 6. What is the number? A. -16 B. -4 C. 0 D. 4
B. -4
500
There are p number of pencils in a pack. There are 50 packs in a box and 12 boxes in a case. Julia delivers 3 cases to a store. She opens a case to remove 1 pencil to use. Which expression represents the number of pencils that are left? A. 3+12+50+p-1 B. 3(12)(50)p-1 C. 3(12)(50/p)-1 D. 3(12)(50)p+1
B. 3(12)(50)p-1
500
Anna can knit a scarf in 1 2/3 hours. How many scarves can she knit in 4 hours? A. 2 2/5 B. 2 2/3 C. 3 D. 3 1/5
A. 2 2/5
500
Carol is making a sign from felt circles that she will tie together in a row. One circle has a circumference of 37.68 inches. How many circles will she need to tie together to have a banner that is 60 inches long? A. 2 B. 3 C. 4 D. 5
D. 5
500
A group of rock climbers descended a rock face in three equal phases. They descended the same number of feet each time. If the rock face was 363 feet high, what number describes their change in height in each phase? A. -242 feet B. -121 feet C. 121 feet D. 242 feet
B. -121 feet
500
One-eighth a number is two more than one-fourth the number. What is the number? A. -16 B. -4 C. 8 D. 16
A. -16