Vocab and Basics
In the expression 4x - 3 + 8x - 5y + 2 - 9y, what are the variable terms?
4x, 8x, -5y, and -9y
Simplify 2x - 5 - x + 19 - 7x
-6x + 14
Simplify 3(4x - 1)
12x - 3
Simplify 3(2x - 4) - 8x + 3
-2x - 9
Give the expression 22x - 99 in factored form
11(2x - 9)
In the expression 5x - 8 - x + 7, what are the coefficients
5 and -1
Simplify 5a + 2b - 12 - 4b - 2a - 11
3a - 2b - 23
Simplify -7(6x - 5)
-42x + 35
Simplify -5(3a - 4) + 3(4a - 1)
-3a + 17
Give the expression 45x - 60 in factored form
15(3x - 4)
Where should the constant term always go in an expression?
At the end of the expression
Simplify -m - 4w + 6 - (-2w) + 5 - 7m
-8m - 2w + 11
Simplify (6c - 40)8
48c - 320
Simplify 5w - 4(2w - 11) - 3w + 6
-6w + 50
Give the expression 24a - 72 in factored form
24(a - 3)
In the expression 2a - 3b + 7a - 4 + 2b - 5 + b, how many groups of like terms are there, and what terms are in each group?
There are three groups: 2a and 7a, -3b, 2b, and b, and -4 and -5.
Simplify 2r - 6s - 15 + 6s - r + 6 - r
-9
Simplify 5(4w - 3y + 9x - 1)
BE CAREFUL HERE!
20w + 45x - 15y - 5
13 -(4x - 3y + 2) - 5y + 2x - 17 + x
-x - 2y - 6
It takes Sean t minutes to run around the track one time. It takes John 2 minutes longer to run around the track. Give an expression for how long it would take Sean and John to run 8 laps around the track in factored form.
16(t + 1)
Bob and Jeff are simplifying the expression 4x - 3 + 2x - 7. Bob says the answer is 6x - 10. Jeff says the answer is 6x + (-10). Who is correct? Be specific!
They both are. Bob is using subtraction while Jeff is using addition, but the result is the same expression.
Simplify 4t - 3v +9z - 15 - 2v + 2 + 7t - 3v - t + 3z
10t - 8v + 12z - 13
Simplify -(2a - 4b - 3c + 7)
-2a + 4b + 3c - 7
Simplify 1/3(6x - 18) - 2/5(20x - 10) - 18 - x
-7x - 20
Chris has m dollars. Bob has three times the amount of money as Chris. Jeff has 4 more dollars than Bob. They all invest their money. Jeff doubles his money. Chris loses 3 dollars. And Bob's money stays the same. Give the expression of how much money they have now in both SIMPLIFIED FORM and FACTORED FORM
Simplified form: 10m + 5
Factored Form: 5(2m + 1)