One-Step Equations/Inequalities
3=1+a
What is 2
-10-3b=20
What is -10
-2 = -7m + 6m
What is 2
-2k+22=4(8k-3)
What is k = 1
The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find both numbers
What is 13, 67?
Let x = smaller number, Let 5x + 2 = 80
x + 5x + 2 = 80
6x = 78
x = 13, 5(13) + 2 = 67
Solve for x:
-5=5x
What is -1
-55= -5(-9+m)
What is 20
93= -3(6x+4)-3
What is x is -6
2+x=1+6(7x+7)
What is x=-1
The larger of two numbers is nine less than four times the smaller number. If the sum of the two numbers is 76, find both numbers.
What is 17 and 59
Let x = smaller
Let 4x -9 = larger
x + 4x - 9 = 76
5x =85, x = 17, 4(17) - 9 = 59
(x/2) < -7
What is x<-14
-4 + (b/6) = -6
What is b = -12
-168=-7(-5+3x)-8x
What is x = 7
5(7n+8)+5n=4+4n
What is n=-1
The length of a rectangle is two more than three times its width. If the perimeter of the rectangle is 92 meters, find the dimensions.
What is 11 meters, 35 meters
Let x = width, let 3x + 2 = length
2(x) + 2(3x+ 2) = 92
2x + 6x + 4 = 92
8x = 88
x = 11
(v/8)=(5/8)
What is 5
5 = -3+4n
What is n = 2
-4(5x-8)= -108
What is x=7
4r+39=5(5-2r)
What is r=-1
Find two consecutive ODD numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number.
What is 29, 31
Let x = 1st Odd Consecutive Number, Let x + 2 = 2nd Consecutive Odd Number
x + 2 + 2(x) = 4(x) -27
3x + 2 = 4x - 27, 2 = x - 27, 29 = x, 31 = x + 2
Joe ran 17 miles less than Alayah. Joe ran 11 miles. How many miles did Alayah run?
What is 28
A cookie jar starts off with 32 cookies in it and each day 2 cookies are eaten. After a certain number of days there are 14 cookies left in the jar. Write an equation to represent the situation AND find the number of days that have passed.
32-2c=14
c is 9
In science class, Noah needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes and the other two experiments required the same number of test tubes. How many test tubes did each of the other two experiments require? Write an equation AND solve.
2+2x=8
What is 3
Solve for x:
-2x+3=-3
What is x=3
Maria and Tim sold candy bars for a fundraiser. Maria sold seven less than twice the number of candy bars that Tim sold. In total Tim sold 137 candy bars. How many candy bars did Maria sell?
What is ... 89 Candy Bars.
Let x = Tim's sales, let 2x - 7 = Maria's sales
x + 2x - 7 = 137
3x = 144, x = 48, 2(48) -7 = 89