One-Step Equations
4 = -8 + x
x= 12
6x – 13 = 11
x= 4
Solving Equations
4x + 4x - 4 + 3 = 7
x = 1
Solving Equations
x - 2 = 6
x = 8
Write an equation that represents 3 more than 2 times a number equals 13.
2x + 3 = 13
Or
3 + 2x = 13
x + 12 = 0
x= -12
3x + 5 = 14
x= 3
Solving Equations
2+2 + 5x = 29
x = 5
Solving Equations
-5p + 1 = 6
p = -1
JJ has $50 in his bank account. He plans to save $20 each week until he reaches his goal of $500 in his account. Write an equation that can be used to find the number of weeks he needs to save. Be sure to define a variable.
w (or another letter) = number of weeks
50 + 20w = 500
or
20w + 50 = 500
3 = -2 – x
x= -5
x/2 + 13 =-8
x= -42
Solving Equations
-45 = x + 3 + 1
x = -7
Solving Equations
2n+10 = 4
n = 2
CC is planning to buy 8 toy ducks from her math teacher. Her teacher is discounting each duck by $0.50. CC spends a total of $12 on the ducks. Write an equation that could be used to find the original cost of each duck. Be sure to define a variable.
d (or another letter)= original price of a duck
8(d - 0.5) = 12
or
8d - 4 = 12
2/5x = -40
x= -100
x/2 + 5 =10
x= 10
Solving Equations
14 = 3(a + 6) + 2
a = -2
Solving Equations
5(m-3) = 4
m = 19/5
The length of a rectangle is 2 more than 4 times its width. The length is equal to 18 inches. Write and solve an equation to find the width.
w = width
4w + 2 = 18
w = 4 inches
-16 = 1/2x
x = -32
2/3x - 6 = -3
x= 4.5
Solving Equations
-21 = 7(5k - 8)
k = 1
Solving Equations
3(𝑥 − 9) = −3
x = 8
Possible equations
3w + 3w + w + w = 32
2(3w) + 2(w) = 32
8w = 32
width = 4 inches and length = 12 inches