Change the sign
Simplify the expression
-(2x+1)
-2x-1
Which of the following is a like term for 3x2?
Select all that apply.
a. 5x2
b. 3y2
c. 3x-2
d. 32
e. 9x2
a, e
Combine like terms in the expression.
2xy+5x-3+4xy
6xy+5x-3
Look at the two expressions. Is the second expression a simplified form of the first?WHy?
4x-2+8x-12x2
12x-10x2
No, the simplified form would be 12x-2-12x2.
Which of the following is the simplified form of -(-5x2+3-4x)?
a. 5x2+7x
b. -5x2+3-4x
c. 5x2-3+4x
c
Which of the following can be combined with 2x-4?
Select all that apply.
a. 2x
b.x4
c. -x
d. 4x4
e. none of the above
e
Simplify the expression.
4x8y2+3x8-4+9x8y2
13x8y2+3x8-4
Which of the following can be combined with 2x-4?
Select all that apply.
a. 2x
b.x4
c. -xd. 4x4
e. none of the above
e
Is the following an expression? Why or why not?
2x+9x5=4
No, expressions do not involve equal signs.
Two terms are given: 2x2 and 5y.Can these two terms be combined? If not, what should be changed in the term 5y to allow it to combine with 2x2?
You can change the 5y to a 5x2
Look at the two expressions. Is the second expression a simplified form of the first? Why?
-(4x)
4x
No, the simplified form would be -4x because the negative sign should be distributed to each term in parentheses.
1. -(2x+9-4y)
2. -(x+9-4x2)
3. 4x+(-4x+9)
-2x-9+4y
-x-9+4x2
9
Can the following expression be simplified? Why or why not?
4x+9-3x2+25y-6x6
No, none of the terms are like terms. They do not have the same variables or exponents.
(4x+3y-2)+(7x2+2y+8)
4x+5y+6+7x2
Can the following terms be combined? Explain why or why not.
3x2y5 and 7xy
No, the exponents are not the same on each term.
Simplify the following expression.
(6x2y3+5x-2x2y3)-(-4x+8xy5)
4x2y3+9x+8xy5
Simplify the expression.
-(2x-8+5y-24x2)
-2x+8-5y+24x2
Simplify the following expression.
(2x2+1)-(4x2+9-2x)
-2x2-8+2x
Look at the following term.
4x2y5z7
Pete figured he could combine it with the following term:
4xyz
Is he correct? Can he combine the two terms? Why or why not?
No, they need to have the same exponents. Coefficients and variables alone are not enough.
A student simplified an expression. His work is shown below.
1. (4x5-2y+8)-(6x5+3-2y)
2. 4x5-2y+8-6x5-3+2y
3. 2x5+4y+5
Did he make a mistake? If he did, what went wrong and how can he fix it?
2x5 should be negative and there should be no more y. -2y+2y=0. The simplified expression should be -2x5+5