Equivalent Expressions
Equivalent? Explain
3x - 10 and 3(x - 10)
No. If simplified they are not the same (or if x=1 they are -7 and-27)
3w - 4t - 10w + 6t
-7w + 2t
or 2t - 7w
6(x - 7)
6x - 42
Subtract:
(3x + 15)-(3x + 14)
1
In a hot dog eating contest, Jake ate h number of hotdogs. Matt ate 4 fewer than Jake. Write an expression for how many hotdogs Matt ate.
h - 4
Equivalent?
2x + 3 - 5x - 4 and -1 - 3x
Yes. When simplified they are the same.
(4x - 7) + (3x + 12)
7x + 5
-8(3x + 2) + 10
-24x - 6
Subtract:
2(3x + 15)-(3x + 14)
3x + 16
A triangle has sides (2x - 3), (4x) and (x + 10). Write a simplified expression for the perimeter.
7x + 7
Equivalent?
-2(x - 5) and -2x + 10
Yes. They are both -2x+10 when simplified.
(Put in any number for x and they will equal the same thing.)
8x - (3x + 9)
5x - 9
-5x - 2 (3x - 2)
-11x+4
Subtract:
-2(3x + 15)-(3x + 14)
-9x - 44
Jerry's mom is 4 more than twice his age. If Jerry's age is x, write an expression for his mom's age.
2x + 4
If x=2, y=-4, and z=3 find,
3x - y + z
13
15 + (2x - 10) + 3
2x + 8
9 - 3(2x - 4) + 5
-6x + 26
Subtract:
(-6p - 7.8) - 2(3.6 + 6p)
-18p - 15
A rectangle has sides of (3x + 1) and (5x - 3). Write a simplified expression for the perimeter of the rectangle.
16x - 4
If a=4, b=-5 and c=2, find
a/c + b
-3
(-4x + 12) - (7x - 8)
-11x + 20
4x + 6 - 2(x + 9)
2x - 12
Subtract:
2/3(3/4x-1/2)-(-1/2x+2/3)
x - 1
Melissa bought 3 fewer notebooks than her friend, Sabrina. Sabrina bought n notebooks and each notebook costs $4. Write an expression for how much Melissa would pay.
4(n - 3)