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Review
Systems of Equations
Writing Equations
Which Method
Exponent Laws
100
Solve the following equation. 3x + 5 - x = x - 3
x = -8
100
What is a system of equations?
Two or more equations with the same variables
100
After the math contest, Basil noticed that there were four extra-large pizzas that were left untouched. In addition, another three slices of pizza were uneaten. If there were a total of 51 slices of pizza left, how many slices does an extra-large pizza have?
4p + 3 = 51 Double pts for solving: 12 slices per pizza
100
Which method is the best method to solve the following system of equations? x = 4 - 2y 3x - 2y = 4
Substitution
100
x^3 * x^4
x^7
200
Identify what m and b represent in the equation, y = mx + b
m = slope b = y-intercept
200
How many different types of solutions can a system of equations have? What are they?
three - no solution, infinite solutions, one solution
200
A rectangle has a perimeter of 30 inches. Its length is one less than three times its width. What are the length and width of the rectangle? Write an equation that represents this situation
30 = 2w + 2(3w - 1) Double Points for Solving w = 4 L = 11
200
Which method is the best method to solve the following system of equations? x = -5y + 2 x = 3y - 2
Equal Values Method
200
(3k^5)^2
9k^10
300
Write the following sum as a product. x^2 + 3x + 2 *Use a generic rectangle if necessary.
(x + 2) (x + 1)
300
What does the graph of each of the solutions look like?
no solution - parallel lines infinite solutions - coinciding lines one solution - intersecting lines
300
Herman and Jacquita are each saving money to pay for college. Herman currently has $15,000 and is working hard to save $1000 per month. Jacquita only has $12,000 but is saving $1300 per month. In how many months will they have the same amount of savings?
15000 + 1000m = 12000 + 1300m Double for solving. 10 = m
300
Which method is the best method to solve the following system of equations? 3x + y = 1 -4x - y = -2
Elimination
300
h^9 / h^11
1 / h^2
400
Write the following product as sum. (2x + 5)(x + y + 2)
2x^2 + 2xy+ 4x^2 + 5x + 5y + 10
400
Solve the following system of equations. 5x + 3y = -6 2x - 9y = 18
(0, -2)
400
George bought some CDs at his local store. He paid $15.95 for each CD. Nora bought the same number of CDs from a store online. She paid $13.95 for each CD, but had to pay $8 for shipping. In the end, both George and Nora spent the exact same amount of money buying their CDs! How many CDs did George buy?
15.95c = 13.95c+8 Double points for solving. c = 4
400
Which method is the best method to solve the following system of equations? -6x + 2y = 76 3x - y = -38
Elimination (would take substitution)
400
16x^4y^3 / 2x^4
8y^3
500
| x +16| = 34
x = -50, 18
500
Solve the following system of equations. y = 1/2x + 4 y = -2x + 9
(2, 5)
500
A zoo has two fewer elephants than zebras and five times more monkeys than elephants. The total number of elephants, monkeys, and zebras is 30. Write an equation for this situation.
z + (z-2) + 5(z - 2) = 30
500
Which method is the best method to solve the following system of equations? y = 1/2x + 4 y = -2x + 9
Equal Values Method
500
4xy^3 * 7x^2y^3
28x^3y^6