Rational vs Irrational Numbers
Solving Equations & Combining Like Terms
Systems of Equations & Inequalities
Polynomials
Functions
100
Is the following number rational or irrational?
√25
Rational
100
Solve by combining like terms:
17x² + 8 - 9x +14 - 2x² + 6y + 3x
15x² - 6x +6y +22
100
What is the solution to the following system of equations?
(-2,1)
100
Classify the polynomial by terms and degree
8x + 2 - 6x2
Quadratic trinomial
100
Is it a function?
Yes - none of the X values repeat
200
Is the following expression rational or irrational?
√49 + √8
Irrational
200
Evaluate the following expression:
(3 − 6n5 − 8n4 ) − (−6n4 − 3n − 8n5)
2n5 - 2n4 + 3n + 3
200
Is the point (5,-1) in the solution to this system of inequalities?
Yes because it falls in the overlapped area
200
Put the following polynomial in standard form
7x - 9 + 4x2 - 6x5
6x5 + 4x2 + 7x -9
200
Exponential - multiply between y values
300
State whether 7 - √2 is rational or irrational. Explain how you know
Irrational because the √2 is irrational
300
Add the following:
3√11+7√11
10√11
300
Change the following equations to be in slope intercept form (hint: y needs to be by itself)
2x - 7y = 14
y = 2/7x - 2
300
Multiply the following polynomials
(8p − 2)(6p + 2)
48p2 + 4p − 4
300
What type of function is this?
Exponential growth
400
Determine if the product of 3√2 and 8√18 is rational or irrational. Explain your answer.
Rational because 18x2 = 36 which is a perfect square
400
Solve the following equation:
−8x + 32 = 4(−2 − 4x)
X = -5
400
Write a system of equations:
Chase and Sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60.
5f + 3b = 5.70
2f + 10b = 3.60
400
Factor the following polynomial
49x2 − 25
(7x + 5) (7x - 5)
400
How can you tell the difference between a linear, exponential, and quadratic function?
By the pattern
500
Is the product of two irrational numbers always irrational? Justify your answer.
No because √8 multiplied by √2 = √16 which is rational
500
Evaluate the following for V
5(2.5v + 9) = - 17.5 - 6.5v
V = -3.29
500
Solve the following system of equations with elimination:
5f + 3b = 5.70
2f + 10b = 3.60
F = 1.05
B = 0.15
500
Factor the following polynomial
x2 + 9x + 20
(x+4)(x+5)
500
Solve the following quadratic
2x2 + 5x + 3 = 0
x = -1 OR x = -3/2