1.) Jeff was told that he is allowed to check a maximum of “w” pounds of luggage on an airplane. If one bag weighs 55 pounds, write an expression to represent the amount of additional weight he can check.
answer: w - 55
answer: w - 55
2.) Vernon wants to buy 3 CDs and 2 DVDs. Write an expression that represents the amount of money Vernon needs if c is the cost of 1 CD and m is the cost of 1 DVD.
answer: 3c + 2m
answer: 3c + 2m
If each CD costs $18 and each DVD costs $22, what will be the total cost?
answer: 3 (18) + 2 (22)
54 + 44 = $98
answer: 3 (18) + 2 (22)
54 + 44 = $98
3.) Zara wants to buy her mother a birthday gift that costs $60. She has saved $45. Write and solve an equation to determine how much more money, m, Zara needs for the gift.
answer: 60 - 45 = m
m = $15
answer: 60 - 45 = m
m = $15
4.) The distance to the beach is 50 miles more than twice the distance to the mountains. If m represents the distance to the mountains, which expression represents the distance to the beach?
a.) 50m
b.) 2m + 50 <-------- correct answer
c.) 50m + 2
d.) 100m + 50
5.) A triangle has two congruent sides that are x centimeters long. The third side measures 3 centimeters more than each of the congruent sides. Draw a picture and label each side of the triangle
/\
x / \ x
/____\
x+3
/\
x / \ x
/____\
x+3
Write an expression that represents the perimeter of the triangle.
answer: 3x + 3
answer: 3x + 3
If x = 5, what is the perimeter of the triangle?
answer: 3 (15) + 3 = 48
answer: 3 (15) + 3 = 48
6.) The distance from home plate to first base is “p”. Write an expression to show the distance a player must run if they hit a home run.
answer: 4p
answer: 4p
How many feet do they run if p = 90 feet?
answer: 4 (90) = 360 feet
answer: 4 (90) = 360 feet
