Simplify the Expressions
–4 + 8p – 6p – 5 + 20p
22p-9
YOU CAUGHT A LUCKY BREAK QUESTION!
What is the value of 5a + 2b when a = 2 and b = 6?
22
9x + 1 = 10
x =1
Some students want to order shirts with their school logo. One company charges $4 per shirt plus a setup fee of $53. Another company charges $8 per shirt plus a $29 fee. For what number of shirts would the cost be the same?
6 shirts
What is the difference between substitution and elimination?
The substitution method is the process of replacing the variable with a value, whereas the elimination method is the process of removing the variable from the system of linear equations.
12n – 8 – 2n + 10 – 4
10n -2
y = 2x -1
What is the slope and y-int of this graph?
m = 2
b = -1
1 + 2x = 35
x = 17
Solve for y:
y = 8x - 6
x = -1
y = -14
What is the difference between the x and y intercept?
The x intercept is the point where the line in a graph crosses the x axis. The y intercept is the point where the line crosses the y axis.
YOU CAUGHT A LUCKY BREAK QUESTION!
-4 + 6 =
2
Fill in the table for the question: y = -2x +2
x | y
-2
-1
0
1
2
x | y
-2 6
-1 4
0 2
1 0
2 -2
4x-3 = 17
x = 5
The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and adult tickets cost $4 each. If the total receipts were $1,740, how many of each type of ticket were sold?
380 student — 150 adult
What is a solution?
A value, or values, we can put in place of a variable (such as x) that makes the equation true.
8(2k + 1 + 3k
40k + 8
Given the table, find the linear equation
X Y
-3 -1
-1 5
1 11
3 17
y = 3x + 8
7x-4x = -13-7-x
x = 2
x + y = 5
2x - y = 7
x = 4, y = 2
What is the difference between an equation and an expression?
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
10x – 8x + 2 + 10
2x +12
A line on a graph contains points (2,2) and (0,0) on the graph. What is the linear equation of the graph
y = x
16(5-4x) = -5-x
x = 5
You and a friend go to Taco Bell for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?
Soft tacos - $1.25, Burritos- $2.50
When do we have no solutions?
When there is no value, not even 0, which would satisfy the equation and make it true.