One-Step equations (+ or -)
a + 3 = 8
a=5
a + 3 = 8
- 3 -3
a = 5
3x = 15
x = 5
3x = 15
3x/3 = 15/3
x = 5
The sum of x and -5 gives 18
x + (-5) = 18
How many terms are below?
3x + (-5) = 14
2 terms: 3x and -5
Simone is making 3 batches of muffins. Each batch needs 1/2 cups of milk. Write an equation for how many cups of milk Simone will need for making these muffins.
Options:
1/2 + 1/2 + 1/2 = x
3(1/2) = x
x/3 = 1/2
x + (-8) = 12
x=20
x + 8 = 12 (KSS situation)
+ 8 +8 (KSS)
x = 20
-4a = -16
a=4
-4a = -16
-4a/-4 = -16/-4
a = 4
g divided by -6 is 14
g/-6 = 14 (order matters with division!)
How many variables are below?
4s - 8a = 11c
3 variables: s, a, c
Samuel is racing Mercy over 100 meters. Mercy won the racing in 13.4 seconds. Samuel ran 0.5 seconds slower than Mercy. Write an equation showing how you could figure out how fast Samul ran.
Options:
13.4 + 0.5 = x
x - 0.5 = 13.4
a - 9= 16
a=25
a + 9 =16
- 9 -9
a = 25
x/5 = 10
x=50
x/5 = 10
5(x/5) = 10(5)
x = 50
13 times p is equal to -43
13p =-43
How many coefficients are below?
4s - 8a = 11c
3 coefficients: 4, 8, 11
Fred weeded half of his families garden on Sat., and did another 1/4 of the garden on Sunday. Write an equation showing how much weeding Fred still needs to do.
Options:
1.0 - (1/2 + 1/4) = x
(1/2 + 1/4) + x = 1.0
x - (-9) = 13
x = 4
x - (-9) = 13 (KSS situation)
x + 9 = 13
-9 -9
x = 4
x/-6 = 12
x= -72
x/-6 = 12
-6(x/-6) = 12(-6)
x= -72
One half of g makes -24
g/2 = -24 (order matters with division!)
How many expressions are below?
8d - (-6) = 34
2 expressions (each side of the equal sign):
1. 8d - (-6)
2. 34
Tyler made $36 mowing lawns during his first week of summer vacation. At the end of three weeks he had made $91. Write an equation that shows how much money made during weeks 2 and 3 combined.
Options:
$36 + x = $91
$91 - x = $36
$91 - $36 = x
a + 8 = -9
a = -17
a + 8 = -9
- 8 -8 (KSS situation)
a = -9 + (-8)
a = -17
x/-7 = -14
x = 98
x/-7 = -14
-7(x/-7) = -14(-7)
x = 98
5 less than n makes -12
n - 5 = -12 (order matters with subtraction!)
Are the following below an equation or an expression, and how do you know?
1. 6f = -4
2. 4x + -12
1. Equation, because it has an equal sign between the two expressions--to the left and right of the equal sign
2. Expression, because it doesn't have an equal sign separating anything
Michelle made 20 fidgets for her 5 friends to enjoy. Write an equation to show how Michelle would give all of her friends the same number of fidgets.
Options:
20/5 = x
5x = 20
20/x = 5