Writing Expressions/Equations
two more than a number
x + 2 or 2 + x
What is the first mathematical step in solving the equation 2x + 7 = 14?
Subtract seven on each side (inverse operation)
How many solutions?
3x + 2 = 3 + 3x
Describe what the inequality would look like on a number line:
x < 7
An open circle on the number 7 with an arrow pointing to the left.
seven less than three times a number
3n-7
What is the first mathematical step in solving the equation: 3x - 9 = 2x + 7
Combine the variable terms on the same side of the equal side using the inverse operation. (subtract 3x on each side OR subtract 2x on each side)
How many solutions?
2x + 2 = 2 + 2x
Infinite solutions
Describe what the solution to the inequality would look like on a number line:
X - 2 > 14
An open circle on 16 with an arrow pointing to the right.
seventy-six is three more than twice a number
2n+3=76 or 3+2n=76
When solving the equation 3x + 12 = 50, what step would you do AFTER subtracting twelve on both sides?
Divide by 3 on each side to isolate the variable.
How many solutions?
3x + 2 - 2x = x + 7
No solutions
What all numbers below would satisfy the inequality:
x is greater than or equal to 12.
13, 11, 12, 15, 10, 9, 27
13, 12, 15, 27
five times the difference of a number and ten
5(n-10)
What is the first mathematical step to solve the equation 2(3x+5)=15, and what is the result of that first step only?
Distribute the two, resulting in 6x+10=15
How many solutions?
4x - 7 + 2x = 5x - 7
One Solution
What all numbers below would satisfy the inequality:
3x < 15
15, 12, 5, 7, 4, 3, 2
4, 3, 2
twice the sum of a number and 8
2(n+8) or 2(8+n)
When solving the equation 3a + 4 + 2a = 10, what will be the step AFTER combining like terms?
Subtract 4 on each side using the inverse operation
How Many Solutions?
1/2(4x+14) = x + 7 + x
Infinite solutions
Write the inequality for the scenario using the variable c for cookies.
Lulu is allowed to eat no more than 2 cookies before dinner.
c <= 2