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Solving by Combining Like Terms
Solving by Using the Distributive Property
Challenge Equations
Equation Grab Bag
Review
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Simplify. 8(b + 7) = 7(b + 8)
b = 0
100
4x + 9 = 33
x = 6
100
The square root of 20 is between what 2 integers?
What is 4 and 5
200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Simplify. 4(2x + 6) - 5 = 8(x + 2)
no solution
200
x + 3x = -8
x = -2
200
An integer that is NOT a whole number.
What is a negative number
300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
Simplify. 3(x + 4) + 2x = 5(x + 3) - 2
Identity - all real numbers
300
4(y - 2) + y = -13
y = -1
300
Estimate the square root of 105 to within a tenth
What is 10.2
400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
3(2x + 5) + 2(3x - 2) = 10(x+1) + 2x + 1
Identity - all real numbers
400
-6(m + 1) + 18 = 24
m = -2
400
Write a variable expression for the following: Seven less than the product of two and a number is eight.
2x - 7 = 8
500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
5 - 3(2x - 6) - (2x - 4) = 27- 6x
x = 0
500
7k - 8 + 2(k + 12) = 52
k = 4
500
When you count by ones from any integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?
n + n+1 + n+2 = 48 3n + 3 = 48 3n =45 n = 15 the numbers are 15, 16, and 17