Expressions and equations
Solve for x.
3x-2=16
x=6
How many solutions does this system have:
{y=2x +5 , 2y=4x + 10}
infinitely many
Write 6.12 x 102 in standard notation.
612
What is a function?
A function is when every input has exactly one output.
Write an equation for the problem:
Sally buys chips at $0.50 per bag. She also buys juice for $2.50. If she spent a total of $5, how many bags of chips did she buy?
0.50x +2.50=5
True or false:
If equations have different slopes they are parallel lines.
False
simplify 63 x 65
68
Is this a function? (3,2) (4,6) (4,5) (5, 7). Justify your answer.
No, the input of 4 has 2 different outputs.
What is the equation for the Pythagorean Theorem?
a2+ b2 = c2
Solve for x:
-2 (x + 4) + 4x - 2 = 20
x=15
For y = 5 + 3x is (3,7) a solution?
No
the square root of 95 is between what two whole numbers?
9 and 10
is y=3x a linear function?
yes
What is perimeter and how do you find it?
Perimeter is the distance around a shape. You add al the sides to find perimeter.
Write and solve an equation for the problem:
Joe went shopping and bought 3 shirts for $25 each and 2 jeans. He spent a total of $165. If the jeans cost the same amount, what was the price of 1 pair of jeans?
3(25) +2x=165
They cost $45 each
For y = 3x, when x =4, what is y?
12
What is an irrational number?
A number that cannot be written as a fraction. It is nonterminating and nonrepeating.
What kind of function is y= x3
Non-linear function
A rectangle has a perimeter of 30. Its length is 3 longer than twice the width. Write an equation for the perimeter and find the width of the rectangle.
2w = 2(2x+3)= 30
w=4
Solve the following equation:
x2 + 33 - 10 = 42
x=5
In the system y= 4x +2 and y=4x+5 . How many solutions are there?
No solution
Solve: (3.2 x 108 )x (2 x 102) . Your answer should be in scientific notation
6.4 x 1010
How can you tell if a graph is a function or not?
Vertical line test
Find the volume of a Cylinder with a diameter of 6cm and height of 10cm.
*you have to have the correct units
282.6cm3