One-Step Equations
12 = 8 + x
x= 4
6x = 12
x= 2
is x=1 a solution for the following
4x + 3 = 7
Yes
4(1) + 3 = 7
4 + 3 =7
7=7
Ms. Washburn has students in her 5th grade math class. She has 26 students in her 6th grade math class. Total she has 50 students. WRITE an equation with a variable for how many students are in her 5th grade class.
s + 26 = 50
What is the 4 Basic Operations?
Add, Subtract, Multiply and Divide
x + 12 = 0
x= -12
(3/5)x = 15
x= 25
(5/3)(3/5)x = 15(5/3)
x=5(5) or x=75/3
x=25
is x=2 a solution to the following equation?
4 + 5x = 29
no
4+5(2)=29
4+10=29
14 does not = 29
Colin has 17 fewer baseball cards than Demi. Demi has 28 cars. Write 2 different Equations to determine how many cards Colin has.
n = 28 - 17
n + 17 = 28
28 - n = 17
In order to solve an equation what must you do to the operation?
The inverse or opposite
5 = 2 +x
x= 3
x/2 =8
x= 16
Is x=50 a solution to the following equation?
45 = x + 5
no
45 = (50)+5
45 does not = 55
Carl solves 3 times as many math problems as Allison. Together they solved 28 math problems. Write an equation to find how many math problems Carl and Allison each solved.
3x + x = 28
4x = 28
The sum of two angles is 90 degrees. One angle has a measurement of 32.8 degrees. What is the measurement of the other angle (x)?
57.2 degrees
90-32.8= 57.2
5x = 80
x= 16
3/4(x) = 21
x= 28
3/4(x)(4/3) = 21(4/3)
x=7(4) or x=84/3
x=28
is a=2 a solution to the following equation?
14 = (3a + 6) + 2
yes
14= (3(2) +6) + 2
14= (6+6) +2
14=(12)+2
14=14
Write an equation for:
the product of x and 12 is 48
12x = 48
When solving an equation what procedure do you do in reverse?
Order of Operations or PEMDAS
16 = x-2
x= 18
x/3 + 6 = 12
x= 18
x/3 + 6-6 = 12-6
x/3 = 6
x/3 (3) = 6(3)
x=18
is k=3 a solution to the following equation?
49 = 7(5k - 8)
49 = 7(5(3)-8)
49=7(15-8)
49=7(7)
49=49
Write an equation for:
24 is the difference between x and 7, increased by 13
x - 7 + 13 = 24
x + 6 = 24
The area of a rectangle is 120 square inches. Its length is 15 inches. What is it's width?
8 inches
120/15=8