Factoring
How can one check that their factored form of an answer is correct?
Distribute it back out!
Solve the following equation. Give your answer as an improper fraction when necessary: -10=10(x-9)
x=8
Graph the following inequality on a number line:
x>-4
Teacher has the answer.
What is 18% of 2800?
504
Give an example of a quadratic trinomial
Answers vary
Factor by Grouping: 15x3-6x2-25x+10
(5x-2)(3x2-5)
Solve the following equation. Leave your answer as an improper fraction when necessary:
6-3(2x-4)=4x+2
x=8/5
Solve the following inequality. Leave answers as improper fraction where necessary: 6-5x<22
x>-16/5
Forty-two students represent 15% of a school’s junior class. How many juniors are in the class?
280 juniors
Make f the subject of the formula:
f=2h+4
Factor out the GCF: 6x2+36x
6x(x+6)
Solve the following equation. Give your answer as an improper fraction when necessary: 11+3x-7=6x+5-3x
No solution!
Solve and graph the following compound inequality:
-5<3x+7<22
-4<x<5, teacher will show the graph solution
A boat uses 35 gallons of fuel to travel 420 miles. Assuming the fuel consumption rate stays constant, write a proportion and solve for x, the number of gallons needed to travel 600 miles.
x = 50
What does the G in GEMA stand for? Give 3 examples of what it could represent.
Answers vary.
y=x2-2x-80
y=(x-10)(x+8)
Solve the following equation. Give your answer as an improper fraction when necessary:
6(x-1)-3(x+2)=2(x-5)+7
x=9
Solve: |2x-4|=10
x=7 AND x=-3
Two numbers are in the ratio 2:5. If their sum is 35, find the numbers. Set up a proportion. Solve.
10 and 25. Students must also show the proportion that they set up.
Create a proportion that has a solution of x=2
Answers vary.
y=6x2-13x-8
y=(2x+1)(3x-8)
Solve the rational equation:
x=-5/13
Solve: -7|9-2x|+9=-12
x=3 AND x=6
A community center recycles 1200 kg of waste over a single month. The ratio of the weight of plastic to the weight of metal is 7:2. Find the exact weight of the metal waste (give your answer as an improper fraction).
800/3 kg
Expand and simplify the following expression:
(x-8)2+26-3x
x2-19x+90