Unit 1
14 - 6.73
4.15 • 6
7.27
24.90
Write an algebraic expression.
5 less than the quotient of 16 and a number y.
16 ÷ y - 5
In the expression 2x+7, identify the coefficient, constant, and variable.
Coefficient=2
Constant=7
Variable=x
There are 8 sandwiches for every 4 guests.
The ratio of sandwiches to guests is _________.
The ratio of guests to sandwiches is _________.
8:4=2:1
4:8=1:2
A package of 6 pencils costs $3. The cost per pencil is $______. The number of pencils per dollar is ______.
$0.50
2 pencils
434 ÷ 14
31
A movie ticket for an adult costs $10 and a movie ticket for a child costs $7. Write an expression that represents the total cost in dollars of tickets for a adults and c children.
10a + 7c
2 ÷ 4/9
4 1/2
Maria walks 16 meters every 10 seconds. How far does she walk in 45 seconds?
72 meters
Maximo can hike 2 miles in 30 minutes. At this rate, how long will it take him to complete a 7-mile hike?
105 minutes or 1 hour 45 minutes
9 ÷ 0.03
300
Henry has 50 apples. He gives 4 apples each to f friends. What is the difference in the expression 50 - 4f? What does the difference represent?
50 - 4f is the difference, it represents the apples Henry will have left over after giving apples to his friends
2 2/3 ÷ 2/3
4
A bracelet has two colors of beads. The ratio of green beads to blue beads is 2:7. There are 18 green beads. How many beads are there in total?
81 total beads
What is 80% of 400?
320
Find the volume of a rectangular prism with a height of 7 in. and a base with an area of 12 in2.
84 in3
The expression 8b + 15t represents how much money, in dollars, Kanesha earns babysitting and tutoring, where b is the number of hours she babysits and t is the number of hours she tutors. Kanesha babysits for 5 hours and tutors for 2 hours. How much money does she earn?
8(5) + 15(2)
40+30
$70
A ribbon that is 3/4 ft long is cut into 5 pieces of equal length. How long is each piece?
3/20 ft
Kiana's soccer team's ratio of wins to losses is 5:3. Her team has played 24 total games. There have been no tie games. How many games has the team won?
15 wins (9 losses)
Fai spends $9 on his lunch. This is 30% of the money he had in his wallet. How much money did Fai have in his wallet?
$30
Niesha's brother is 3 1/2 feet tall. Niesha is 1 1/3 times as tall as her brother. How tall is Niesha?
4 2/3 feet tall
Evaluate 4q + p when q=3 and p=2
Evaluate 2 + 3n2 when n=3
14
29
A rectangle has an area of 9/10 in2 and a width of 3/4 in. What is its length?
1 1/5 in
Anna and Jack make lemonade. Anna uses 2 cups of lemon juice with 9 cups of water. Jack uses 3 cups of lemon juice with 15 cups of water. Whose lemonade has a stronger lemon taste?
Anna. For the same amount of lemon juice she uses less water.
Emma has 200 pages of her book left to read. In 4 minutes, she reads 6 pages. At this rate, can she finish her book in 2 hours?
No. She can read 180 pages in 2 hours.