ALGEBRA I – MILLIONAIRE – Sections 1-6 and 1-7
1) Write an equation for the following situation. Use “w” as your variable:
The length of a rectangle is 5 cm more than the width. The perimeter of the rectangle is 38 cm. What are the dimensions of the rectangle?
HINT: l = w +550/50: 4w + 10 = 38 or 2x + 10 = 38
2) Write an equation for the following situation. Use “b” as your variable:
There are 22 students in a class. There are 12 more girls than boys. Find the number of boys in the class.
HINT: g = b + 1250/50: 2b + 12 = 22 or 2b – 12 = 20
3) Write an equation for the following situation. Use “a” as your variable:
Claire sold 25 more cards than Alice. Claire and Alice sold a total of 211 cards. Find the number of cards that Alice sold.
HINT: c = a + 2550/50: 2a + 25 = 211 or 2a – 25 = 211
4) Write an equation for the following situation. Use “w” as your variable:
The perimeter of a rectangle is 36 cm. The length is twice as long as the width. Find the dimensions of the rectangle.
HINT: l = 2w50/50: 6w = 36 or 4w = 36
5) Write an equation for the following situation. Use “b” as your variable:
Allan has $6 more than Bill. Together they have $30. Find how much money Bill has.
HINT: a = b + 650/50: 2b – 6 = 30 or 2b + 6 = 30
6) Write an equation for the following situation. Use “s” as your variable:
A board is 60 inches long and is cut into two pieces. The longer piece is 4 inches longer than the shorter piece. How long is each piece?
HINT: l = s + 450/50: 2s + 4 = 60 or 2s – 4 = 60
7) Write an equation for the following situation. Use “A” as your variable:
Twice as many people liked Brand B compared to Brand A. 600 people were polled. How many like Brand B?
HINT: B = 2A50/50: 3A = 600 or 2A = 600
8) Solve the following problem. Possible answers are given in parenthesis:
Two numbers have a sum of 44. The larger number is 8 more than the smaller. Find the numbers. (Smaller number = 18, 19, 20)
HINT: l = s + 8 50/50: 18 and 26 or 20 and 28
9) Solve the following problem. Possible answers are given in parenthesis:
A puppy weighs 12 pounds more than a kitten. The puppy weighs seven times as much as the kitten. Find the weights of each pet. (Kitten = 1, 2, 3, 5)
HINT: p = k + 1250/50: 3 and 15 or 2 and 14
10) Solve the following problem. Possible answers are given in parenthesis:
Bob has one and a half times as many books as Sam. Together they have 45 books. How many books does each boy have? (Sam = 16, 18, 20, 22)
HINT: b = 1.5s50/50: 18 and 27 or 22 and 33
11) Solve the following problem. Possible answers are given in parenthesis:
The length of a rectangle is 7 cm more than the width. Find the dimensions of the rectangle if the perimeter is 54 cm. (Width = 8, 10, 11, 14)
HINT: l = w + 750/50: 8 and 15 or 10 and 17
12) Solve the following problem. Possible answers are given in parenthesis:
Lisa walked 8 miles more than Tim. Lisa also walked three times as far as Tim. How far did Lisa walk? (Tim = 3, 4, 5)
HINT: L = T + 8 and L = 3T50/50: 12 or 13
13) Solve the following problem. Possible answers are given in parenthesis:
Bob has eight more dimes than nickels. He has 30 coins all together. How many of each coin does he have? (Dimes = 17, 19, 20)
HINT: n = d – 8 50/50: 19 and 11 or 20 and 12
14) Solve the following problem. Possible answers are given in parenthesis:
A triangle has a perimeter of 21 feet. The medium length side is twice as big as the shortest side. The longest side is 5 feet longer than the shortest side. How long is the shortest side? (Shortest = 2, 4, 5)
HINT: M = 2S and L = S + 550/50: 4 or 5
15) Solve the following problem. Possible answers are given in parenthesis:
Two numbers differ by 60. Their sum is 300. Find the numbers.
(Small = 100, 110, 120)
HINT: L = S + 60 and L = 300 – S 50/50: 120 and 180 or 100 and 160
N) Who is buried in Grant’s tomb?
HINT: It is not a trick question50/50: Lincoln or Grant
N) Who is buried in Grant’s Tomb?