Solving Equations
2x+5 = 19
x = 7
A 20 foot flagpole casts a 8 foot shadow. At the same time, an oak tree casts a 12 foot shadow. How tall is the oak tree?
30 feet tall
-20 + 5p -7z
How many terms are in the expression?
3 terms
Write an equation for the description.
The sum of 14 and a number is equal to 17
x+14 = 17
Solve d = rt for t
t = d/r
Write an inequality that represents the description.
Joe's height, h, is shorter than 5 feet.
h < 5
x/6 + 4 = 15
x = 66
The scale on a map of Virginia shows that 1 inch represents 30 miles. The actual distance from Richmond VA to Washington DC is 110 miles. On the map, how many inches are between the two cities? Round to the nearest hundredth.
3.67 inches
8x-20y-10
What are the coefficients in the expression?
8 and -20
Write an equation for the description.
Ten times the sum of half a number and 6 is 8.
10(n/2 +6) = 8
-10 = xy+z
(-10-z)/y = x
Write an inequality that represents the description.
Dave has $23 to spend on an $5 book and three birthday cards (c) for his friends.
3c + 5 ≤ 23
4(x+3)-2 = 6
x = -1
Convert 8 millilters to fluid ounces.
(1 mL = 0.034 fl oz.)
0.272 fl oz.
3x + 4y -10 +6z
What is the constant in the expression?
-10
Kenya plans to make a down payment plus monthly payments in order to buy a new motorcycle. At one dealer she would pay $2500 down and $150 each month. At another dealer, she would pay $3000 down and $125 each month. After how many months would the total amount paid be the same for both dealers? What would that amount be?
At 20 months the amount paid at both dealers will be $5500
Solve for OV
A = (FV-OV)/T
OV = -AT + FV
OR
OV = FV-AT
3(x-2) > -3
x > 1
5x-2 = 3x+4
x=3
The dwarf sea horse swims at a rate of 52.68 feet per hour. Convert this speed to inches per minute.
10.536 inches per minute
The price of a sandwich is $1.50 more than the price of a smoothie, which is d dollars. What does the expression d + 1.5 represent?
The price of a sandwich
The perimeter of a rectangle is 72 meters. The width of the rectangle is 4 meters less than its length. Find the length and width of the rectangle.
The length is 20 meters and the width is 16 meters.
The formula c = 5p+215 relates c, the total cost in dollars of hosting a birthday party at a skating rink to p, the number of people attending. If Allie's parents are willing to spend $400 for a party, how many people can attend?
37 people
Solve and graph the solution to the inequality.
6x - 2(x+2) ≤ 2 - 3(x+3)
x ≤ -3/7
8(b+1)+4 = 3(2b-8)-16
b = -26
Tortoise A walks 52 feet per hour and Tortoise B walks 12 inches per minute. Which tortoise travels faster?
Tortoise B is faster
Write an algebraic expression to model the given context.
The price p of an item less a discount of 20%
p - 0.20p
OR
0.80p
Mari, Carlos, and Amanda collect stamps. Carlos has five more stamps than Mari, and Amanda has three times as many stamps as Carlos. Altogether, they have 100 stamps. Find the number of stamps each person has.
Mari has 16 stamps, Carlos has 21 stamps, and Amanda has 63 stamps.
The formula for the area of a triangle is A = (1/2)bh. In this b represents the length of the base and h represents the height. If a triangle has an area of 192 square inches and a height of 12 inches, what is the measure of the base?
32 inches
A crane cable can support a maximum load of 15,000kg. If a bucket has a mass of 2,000kg and gravel has a mass of 1,500kg for every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane?
g ≤ 8.67 cubic meters