Algebraic Expressions
What is the value of x?
2x = 4
x = 2
On a map legend, 0.675 inches represents 67.5 miles. How many inches represent 1 mile?
0.01 inches
Solve for X.
(Drawn on board)
30
If a box has 4 silver toys, 5 bronze toys, 3 gold toys, and 2 limited-edition toys, what are the odds of getting the limited-edition toy?
1/7
If the base of a triangle is 2 inches and the height is 5 inches, what is the area of the triangle?
5 inch^2
What is the value of x when y = 2?
4y + 2x + 4 = 0
x = -6
Adien has 1,800 pounds of potatoes and 960 pounds of barley. According to the rates, if he fills bins that hold 1 bushel each, how many bins will he need?
1 bushel = 60 lbs potatoes
1 bushel = 48 lbs barley
50
Solve for X.
(Drawn on board)
150
If a box has 4 silver toys, 5 bronze toys, 3 gold toys, and 2 limited-edition toys, what are the odds of you and another friend both getting your own limited-edition toy?
1/91
If one base of a trapezoid is 8 units and the other base is 2 units, and the distance between the bases is 4 units, what is the area of the trapezoid?
20 units
What is the value of b when a = 6?
5ab - b = 5
y = 5/29
The maximum capacity of a water tower is 4,500,000 liters. The tower is 3/5 full of water. How many kiloliters need to be added to completely fill the tower?
1,800
Solve for X.
(Drawn on board).
59
In the ninth-grade class at a certain high school, one out of every 20 students is in the marching band. Assume that each student in the band is equally likely to play one of the 30 different types of band instruments. One of these 30 instruments is the bassoon. What is the probability that a randomly selected ninth-grade student at the high school plays the bassoon?
1/600
If the perimeter of a square is 24cm, what is the side length?
6 cm
Simplify:
(x - 2)(2x +5)
2x^2 + x − 10
Asphalt, by weight, is composed of 5 parts stone, 4 parts gravel, 3 parts sand, and 1 part bitumen. To pave one parking lot, 260 tons of asphalt are needed. How many tons of gravel are needed to pave three parking lots?
80
Based on the following diagram of a pentagon, what is the value of x? Note: Not to scale
(Drawn on board)
36
A purse contains 8 nickels, 4 dimes, 7 pennies, and 5 quarters. Eight coins are withdrawn randomly and are not replaced. How many of the withdrawn coins were nickels if the chance of withdrawing a nickel is now 1/4?
4
Two equal semi-circles with a diameter of 2ft are cut into a 6ft by 3ft rectangle. Whats the area of the newly cut figure? In terms of π.
18-π ft^2 or around 14.858 ft^2
Simplify:
(2x^2)(x + 1/2)(3x - 3)
6x^4 − 3x^3 − 15x^2 + 6x + 6
Milk, by volume, is composed of 88 parts water, 5 parts carbohydrate, 3 parts fat, 3 parts protein, and 1 part minerals. To fill 1 barrel requires 42 gallons of milk. Which proportions can be used to determine how many gallons of carbohydrate are in 1 barrel?
5/100 = x/42
100/5 = 42/x
x/5 = 42/100
Solve for the unknown angle.
120
AN architect plans to place 2 walls in 1 of 3 possible locations in the house. There are 6 varieties of tile to choose from. If the architect chooses 2 different tiles, how many different combinations of designs are possible?
45
In the figure above, ABCD is a square that has ben divided into four smaller squares, each of which has a quarter circle cut out from it. If the perimeter of square is 24xyz^2, what is the area of the shaded region?
36x^2y^2z^4 - 9x^2y^2z^4π