Multi-Step Eqs & Inequalities
Solve for x.
x – 1 = 5x + 3x – 8
x = -1
How can you tell if a line on a graph is a function or not?
The Vertical Line Test!
Is (3, -9) a solution to the system?
y = x - 6
y = 2x - 3
No
√10 is a rational or irrational number? Why?
Irrational, not a perfect square
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
The cone is 1/3 the volume of the cylinder.
How many solutions?
6(x - 3) + 10 = 2(3x - 4)
Infinite Solutions
What is the slope of these ordered pairs?
(4, 3) and (-4, -1)
1/2
If a system of equations has no solution, what does the graph look like?
Parallel Lines
Estimate the square root : √150
12.1 - 12.4
Find the Volume of a cylinder if the height is 10 cm and radius 3 cm.
283 cm cubed
Solve. Use the proper inequality sign.
-6x – 3 < -3(x + 8)
x > 7
Find the slope and y-intercept of the following equation. Write the equation in slope intercept form.
-6x + 3y = 12
y = 2x + 4
Write 7.113 x 107 in standard form.
71, 130, 000
The area of a square is 16 square feet. What is the length of a side of the square?
4 feet
Which set of sides would make a right triangle?
4, 5, 6
8, 10, 12
5, 12, 13
5, 10, 12
5, 12, 13
Solve for x.
z = m – x – y
x = -z -y +m
Is this set of ordered pairs a function? If not, why?
{(2, 1), (1, 2), (2, -2), (3, 2), (2, 0)
No, the input of 2 has 3 different outputs. (1, -2, 0)
Solve this system of equations and identify the solution(s).
x + 2y = -12
2x - y = -9
( -6, -3 )
Simplify.
(3x4y5)3
27x12y15
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
150 meters
Solve for x.
-13 + x = 4(5x + 5) – 8x
x = -3
Which association best describes the relationship between the two variables for the following situation?
Pounds of grapes you buy and the amount of money you spend on grapes.
Positive Association
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
8.4 x 1019
Simplify 5-3 x 70
1/125
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
27 feet