Algebra
3x + 5 = 17
x = 4
Find the dimensions of a rectangle if the perimeter is 150 cm and the length is 15 cm greater than the width.
The width is 30 cm and the length is 45 cm
Sarah has 15 apples. She gives 7 apples to her friend. How many apples does Sarah have left?
8 apples
12 + 6/2 - 1
14
In a freezing experiment, a substance is cooled at a ratae of 4°C per minute. If the initial temperature is 12°C, what will the temperature be after 8 minutes?
-20°C
2(4y + 12) = -5y + 3
y = -21/13
If the length of a rectangle is 5 m less than twice the width, and the perimeter is 44 m long, find its length and width.
The width is 9 m and the length is 13 m
A baker uses 3/4 cup of sugar for one cake. How much sugar is needed for 6 cakes?
4 and 1/2 (a half) of sugar
4 * (5 + 3)/2
16
At 8:45am, Aisha starts a movie that is 2 hours and 45 minutes long. If she watches the movie all the way through without a pause or a break, at what time will it finish?
11:30 AM
2/3 * (x + 6) = 10 - x/2
x = 36/7
The second angle (A2) of a triangle is double the first (A1). The third angle (A3) is 40° less than the first (A1). Find the three angles.
A1 = 55°, A2 = 110°, A3 = 15°
A salesman sold twice as many pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning?
120 kg
32 + 10/(6-4)
14
Solve the following linear equation using substitution: 2x + 2y = 26, y = 3x - 3
x = 4, y = 9
Solve for a: 3/(a-1) + 1/a = 4/[a(a-1)]
a = 5/4 or 1.25
The sum of the measures of the angles of an n-gon is 2340°. How many sides does this n-gon have?
The n-gon has 15 sides
The number of apples (A) Yash brought to a picnic was three more than twice the number of bananas (B). If Yash brought 11 apples, how many bananas did he bring?
4 bananas
2 * [15 - (23 + 1)]
12
The ratio of boys to girls in a school is 5:6. There are 220 students in total. If 20% of the boys and 10% of the girls are in the choir, how many students are in the choir?
32 students
The sum of two numbers is 48. One number is 6 less than twice the other. Find the numbers.
Hint: let the numbers be x and y
18 and 30
The diameter of a penny is 0.750 inch and the diameter of a quarter is 0.955 inch. You put the penny on top and exactly in the middle of the quarter. What is the area of the portion that is not covered?
0.274 inches2
Helen and Ivan each had the same number of coins. Helen has a number of 50-cent coins and 64 20-cent coins. Together, these coins had a mass of 1.134 kg. Ivan had a number of 50-cent coins and 104 20-cent coins.
Who has more money in coins, and by how much?
Ivan has $8 more in coins
(10 + 22)/7 + (15 - 3*4)
5
Ruhab wrote the list 5, 2, 8, 7, 6 and then erased one of the five digits. The sum of the remaining four digits was a multiple of 4. Which number did she erase?
7