Vocabulary
A letter used to represent an unknown quantity or number
Variable
x/2 = 5
x = 10
2x + 5 = 19
x = 7
2(3x + 4) = 26
x = 3
Mary bought 3 pizzas and a sandwich for $27. The sandwich cost $6. Write a two step equation to solve for p, the number of pizzas.
3p + 6 = 27
a number that does not change within a given expression or equation... or the extra piece in equation word problems
Constant
1/3x = 6
x = 18
4x - 6 = 14
x = 5
4(2x - 1) = 36
x = 5
James has a shoe collection. He had 12 pairs of shoes when he started his collection and he saved 5 pairs each week. At this point in time, he has 67 pairs of shoes. Write a two step equation to find p, the number of pairs he has in his collection.
5p + 12 = 67
the number attached to a variable
Coefficient
x/4 = -3
x = -12
-3x + 2 = 20
x = -6
3(x - 1) = 18
x = 7
Mike bought 8 pencils and a notebook for $18. The notebook cost $10. Write a two step equation to find how much a pencil, p, costs.
8p + 10 = 18
numbers, letters or both that are separated by addition and subtraction in an algebraic expression or equation
Algebraic Terms
-1/5x = 3
x = -15
-4x - 3 = 5
x = -2
-5(2x - 3) = -25
x = 4
Dave earns 15 points each time he visits the arcade. He currently has 140 points on his card. Write a two step equation to find v, the number of visits he would need to make to the arcade to have 320 total points.
15v + 140 = 320
What is the equation for a proportional relationship?
y = kx
-x/6 = -2
x = 12
-6x - 13 = -7
x = -1
-3(-2x + 6) = -30
3b + 25 = 145