Solving Equations
Constants, Like Terms, and Coefficients
Properties
Simplifying Expressions
Word Problems
100
-5x = 60
x = -12
100
Identify the Constants: 6x + 3 - y
3
100
6 x 4 = 4 x 6
Commutative Property of Multiplication
100
3x + 3x
6x
100
Suppose you have 30 CDs. You know that you have 11 more CDs than your friend. Write an equation to find the number of CDs your friend has. Then solve.
n + 11 = 30 n = 19
200
x/7 = -49
x = -343
200
Identify the coefficients: 6x + 3 - y
6 and -1
200
(7+3)+9 = 7+(3+9)
Associative Property of Addition
200
2c +2 +5c
7c + 2
200
Together, Louisa and Jill scored 30 points in the basketball game. If Jill scored 12 points, how many points, p, did Louisa score? Write an equation and solve.
12 + p = 30 p = 18
300
x + 54 = 98
x = 44
300
Identify the like terms: 6x + 3 - y + 3x
6x and 3x
300
7 + 0 = 7
Identity Property of Addition
300
5(b+8)
5b + 40
300
Write an equation for: 13 multiplied by h is 104. Then solve.
13h = 104 h = 8
400
x - 32 = 7
x = 39
400
Identify the like terms: 5a + 9 - 4a + 14
5a and -4a 9 and 14
400
8 x 1 = 8
Identity Property of Multiplication
400
Is 9 = 5+4 true, false, or an open statement?
true
400
A farmer sees 13 of his cows in the barn. He has a total of 26 cows. Let c represent the number of cows outside. Could c = 10? Write an equation and use substitution to determine if the given value is a solution.
13 + c = 26 13 + 10 = 26 No
500
-9x = -72
x = 8
500
Identify the Constants: 5x + 4y - 5 + 1
-5 and 1
500
g = 0 + g
Identity Property of Addition
500
If c = 2c - 4, can c = 10?
NO
500
Use the distributive property to multiply: 8(6r - 10)
48r - 80