Unit 1
Is the following a rational or irrational number? Explain.
sqrt(3)
Irrational. It is nonterminating and non repeating decimal, and cannot be turned into a fraction.
What is the equation of a line with slope of 4 and y-intercept of -3?
y=4x-3
What is the domain of the following relations?
(1,4), (-2, -8), (7, 28), (15, 60)
{-2, 1, 7, 15}
IS the product of
sqrt(2) and sqrt(18)
rational or irrational?
rational since it equals 6, which is a terminating decimal and can be written as a fraction.
How many degrees are in a triangle
180
What is the value of P ?
I = Prt
P = I/(rt)
What is the equation of a line in point slope form that has a slope of 2 and goes through the point (-3,6)
y - 6 = 2(x + 3)
What makes something a function? Which test does it pass?
Each input has exactly one output. It passes the vertical line test.
What's the first step in graphing a line in slope intercept form?
Plot the y-intercept
Solve for x.
3x + 2 = 8
x = 2
Solve algebraically.
0.7(x - 5) = 2x - 7.66
x = 3.2
What is the x and y intercepts of the following equation?
Would this have a positive or negative slope?
5x - 4y = 60
x-intercept is (12,0)
y-intercept is (0,-15)
Positive slope, since when they points are graphed and connected it is rise 15, run 12.
Give an example of a relationship that has a discrete domain.
Answers may vary...
Solve for x.
3/2x-5<=3/5(x-8)
x<=2/9
Which type of transformation makes an object bigger or smaller?
A) Reflection
B) Translation
C) Dilation
D) Rotation
C) Dilation
Solve the inequality;
-2(x+9) >= 4
x<=-11
Maria earns $5 for every shirt that she sells. She spent $52 on materials to make the t-shirts. What equation models the profit of situation? Define the slope and the y-intercept in the context of this question.
y=5x-52
slope: $5 per t-shirt
y-intercept: $52 out of her pocket to make the t-shirts
What value of n would make the relationship a function?
(n,8) (8,1) (7,6) (2, -1) (5,6)
Any number besides 2, 5, 7 or 8.
Order the numbers from least to greatest;
sqrt(33) , 5.7, 49/8
5.7, sqrt(33), 49/8
If the point (2,7) is translated right 3 units, what is the coordinate of the image?
(5,7)
Sophia earns $18 an hour for babysitting and $22 an hour for mowing lawns. She wants to buy a laptop that is on sale for $189. If she has babysat for 5 hours, how many lawns must she mow in order to have enough money to buy the new laptop?
Write an inequality and state how many lawns must be mowed.
18 x + 22 y >= 189
She must mow at least 5 lawns
What is the equation of a line that goes through the following points? (4,2) and (-1,5)
y-2=-3/5(x-4)
y-5=-3/5(x+1)
y=-3/5 x + 4.4
Evaluate the following expression;
x =-2
3x^2-4x+10
30
Sam buys 8 tickets for her family to go to the circus. She has a discount coupon for $2.50 off each ticket. If in total she spends $70, what is the original price of each ticket before the discount?
$11.25