Combining Like Terms
Simplify the expression.
18m - 9v + 6v - 7m
11m - 3v
Is the following a true statement? If false, what would make the statement correct?
5(3x + 6) = 15x + 6
False = distribute 5 to 6 making it 30.
50 = -2.5x
x = -20
x/-2 - 10 = -35
x = 40
Mark's brother is 5 years older than Mark. Their combined ages add up to 23 . How old is Mark?
9 years old
Simplify the expression.
5g + 7h – 4 – 2g - 1
3g + 7h - 5
2(2.5x + 8) = 26
x = 2
2.4x + 9 = 63
x = 22.5
-2x + 7 = -32
x = 19.5
A van is rented for a family vacation. The van rental is $75 per day, plus a $160 insurance fee. Write an equation that could be used to find x, the number of days the van could be rented, if the family wants to spend exactly $760 for the van rental.
75x + 160 = 760
Simplify the expression.
1.8y - 9.3y - 6.3y
-13.8y
5(6x + 9)
30x + 45
x + 1.6 = 8.2
6.6
10 + 3y = 22
y = 4
Simplify the expression.
-3a + b - 4a + 2b
-7a + 3b
Simplify the expression.
20c + 8d + 10c – 5d
30c + 3d
1.5(6t + 2)
9t + 3
x/5 = 13
65
r/2-8=16
r = 48
3x + 2(4x + 7)
11x + 14
Simplify the expression.
8b – 5 + 4b2 + 2b
4b2 + 10b - 5
6(3b + 7) + 5b
23b + 42
3/4 x + 6 = 33
x = 36
2/3x + 10 = 16
x = 9
Factor this expression (undo it)
10x + 35
5(2x +7)