Lesson 61/62
What is the simplified form of √180?
6√5
Solving systems of linear equations with elimination means what?
Eliminate/get rid of one variable to find the other.
Describe how to know if two lines are perpendicular when only given their equations.
Find the probability of the following event:
rolling a sum of 7 or a sum of 11 with two number cubes
8/36 or 2/9
How do you know when to "flip" an inequality symbol?
When you multiply or divide BY a negative number.
Describe the difference between a histogram and a bar graph.
Histograms use a range of data values and bar graphs use one data value at a time.
When graphing an inequality using < or >, would the circle be open or filled in?
Open
One special case of systems of linear equations is when solved the statement does NOT equal itself (i.e. 7 = 6). What kind of solution is that?
No solution
Simplify: -11√10a + 3√250a + √160a
8√10a
What is the simplified form of √25x3y2?
5xy√x
Sierra found an inverse relationship between her hourly pay rate and the number of hours she must work to earn a set amount.
If she works 7 hours for $8 an hour, how long will she work at $10 an hour to earn the same amount?
5.6 hours
Write an equation in slope-intercept form for the line that passes through (-3, 2) and is parallel to a line with equation y = 4/7x + 5/7.
y = 4/7x + 26/7
Parallel lines have what kind of solution?
No solution - they never cross.
Find the perimeter of a right triangle if the lengths
of the two legs are 4 √9 inches and 2 √64 inches, and
the hypotenuse is 2 √100 inches.
48 inches
Create a stem-and-leaf plot of the data:
65, 70, 69, 61, 56, 52, 43, 42, 51, 60, 63, 52, 60, 54, 50
Describe the difference between inverse and direct variation.
Inverse is dividing by x ("inverted") and direct is multiplying by x.
K is y/x in direct and k is xy in inverse.
What is the solution to 3z + 2 ≤ z - 4 + 2 + z?
z ≤ -4
One special case of systems of linear equations is when solved the statement DOES equal itself (i.e. 7 = 7). What kind of solution is that?
Infinite Solutions
Determine if the inequality symbol needs to be reversed, and then solve.
-2a ≥ -5
Yes, a ≤ 5/2
Describe how to find the median of data in a stem-and-leaf plot.
Solve the following system of equations using elimination:
7x + 3y = -5
2x + 3y = 5
(-2, 3)
An airline allows a suitcase that weighs no more than 50 pounds when it is full. Jared’s empty suitcase weighs 5 pounds.
How much weight can Jared pack in his suitcase? Write an inequality to solve the problem.
x+5≤50
x≤45
What is the probability of rolling at least one even number or a sum of 3 using two number cubes?
18/36 or 1/2
A rectangular swimming pool has a length of √800 feet and a width of √648 feet. What is its perimeter?
76√2 feet