Two-Step Equations
6x – 13 = 11
x= 4
Solving Equations
4x + 3 = 7
x = 1
Write the equation modelling the sentence:
Two times the difference of a number and eight is equal to nine times the number increased by 4.
You do NOT need to solve
2(x-8) = 9x +4
How many operations does a one step equation have?
What are the 4 Basic Operations?
Add, Subtract, Multiply and Divide
3x + 5 = 14
x= 3
Solving Equations
4 + 5x = 29
x = 5
if 5x-3 = 27, find the value of 4-3x
-14
When solving a two step equation how many terms are usually on the same side?
Two
In order to solve an equation what must you do to the operation?
The inverse or opposite
x/2 + 13 =-8
x= -42
Solving Equations
-45 = 3x + 4 - 2x
x = -49
The length of a rectangle is 2 less than 5 times the width. The perimeter is 44. Find the dimensions.
W = 4
L = 18
Which of these is a multi step equation?
4x+3-11
-4x+2-7
5(y+2/5)=-13
4m+7m
5(y+2/5)=-13
What are the possible number of solutions when solving an equation?
One, no solution, and all real numbers
x/2 + 5 =10
x= 10
Solving Equations
14 = (3a + 6) + 2
a=2
Find three consecutive odd integers such that four times the first is five less than the product of three and the third.
1st = 7
2nd = 9
3rd = 11
Which of the math properties is used to move a value to the other side of an equation?
Commutative Property
Associative Property
Identity Property
Property of Equality
Property of Equality
Order of Operations or PEMDAS
x/3 - 6 = -3
x= 9
Solving Equations
-21 = 7(5k - 8)
k = 1
The smaller of two numbers is 2 less than the larger number. If 4 times the larger is subtracted from 5 times the smaller, the result is 10. Find the numbers
Smaller = -2
Larger = 0
What is the other name for the multiplicative inverse and what is the multiplicative inverse on -3?
Reciprocal
-1/3
When solving something like 8.88=4.44(x-7), what do you do first?
Distribute