Expressions & Equations
The floor of a house is shaped like a parallelogram. The height of the parallelogram is 8 ft less than the base. The base is 48 ft. The length of the other side of the parallelogram is 45 ft. What is the area of the floor?
1,920 square feet
3 3/5 ÷ 3/10
12
An art supply store sells two colors of ink. The store has 6 boxes of black ink and 8 boxes of blue ink. What does the ratio 6 : 14 represent in this situation?
14 boxes of ink in all.
Are these ratios equivalent?
11 drivers every 12 weeks
50 drivers every 33 weeks
No
What is the value of the expression 2[x(y - 5z)] when x=5/2, y=7, and z=1/5
30
A company manufactures bolts. It ships 46,116 bolts in 36 containers that hold equal amounts. How many bolts are in each container?
1,281 bolts
There are 114 cans of soup in a grocery store. The ratio of large cans of soup to small cans of soup is 12 : 7. A customer buys 2 large cans of soup. What is the new ratio of large cans of soup to small cans of soup in the grocery store?
5 : 3, 35 : 21
Are these ratios equivalent?
4 pages every 6 minutes
8 pages every 12 minutes
Yes
The value 49 is how many times as great as the value of 46?
64
Raymond buys 94 yds of ribbon. He makes bows that use 2 2/3 yards of ribbon each. How many complete bows can Raymond make?
35 complete bows
A pet store has two types of betta fish: red betta fish and blue betta fish. A customer notices that 7 out of 12 betta fish in the store are red. What is the ratio of blue beta fish to red beta fish?
5 : 7
What number makes the ratio equivalent to 3 : 8
6 : ____
16
What is the least common multiple of 6 and 24?
24
What is 4 2/3 ÷ 7/12
8
Rodney owns 5 shirts for every 2 sweaters he owns. Draw a model to represent the two quantities and then write a ratio to compare the quantities.
2 : 5
20 Elementary school students for every 5 middle school students
4 elementary school students for every 1 middle school student
Yes
Leela has 24 oranges and 16 mangoes to divide into bags. Leela wants each bag to have the same number of oranges and the same number of mangoes.
8
Ms. Baranek buys trophies for field day. Each trophy costs $3.95. She pays $138.25 for all the trophies. How many trophies does Ms. Baranek buy?
35
Myra's flower bed has three types of flowers. There are 7 lilies, 5 tulips, and 6 zinnias. What does the ratio 5 : 13 represent in this situation?
The number of tulips to lilies and zinnias.
Josie is training for a race. The ratio of the number of minutes she runs to the number of minutes she runs to the number of miles she runs is 24 to 3. She plans to run 10 miles. How many minutes will it take her?
80 minutes