Equivalent Expressions
Are 3x + 1 and 2x + 2 equivalent expressions? Explain your thinking.
They are not equivalent expressions because they will not always give the same result for every value of the variable.
Use the distributive property to simplify:
3(x + 4)
3x + 12
Evaluate 32.
9
(3+5) * 2
16
Name ALL of the coefficients from the following expression:
2x - 4y * 9(z+3)
2, 4, 1
Are x and 1x equivalent expressions?
Yes they are equivalent expressions because they give the same result for every value of the variable.
Use the distributive property to simplify:
4(5x - 1)
20x - 4
Evaluate 33 - 42.
11
33 - 24
11
Name ALL of the terms from the following expression:
2x - 4y * 9z + 27
2x, 4y, 9z, 27
Are x + x + x and 3x equivalent expressions?
They are equivalent expressions because they give the same result for every value of the variable.
Use the distributive property to simplify:
12(2x-5)
24x-60
Evaluate 6x3 if x = 3.
162
75 - (7-2)2 /5
70
Name ALL of the variables from the following expression:
2x - 4y * 9(z+3)
x, y, z
Are 4x and 4x equivalent expressions?
They are not equivalent expressions because they do not give the same result for every value of the variable.
Use the distributive property to simplify:
2(3x + 4) + 3(5x + 7)
21x + 29
Evaluate
2w2 + 5w
if w = 4.
52
16*(1/2)3
2
Name the constant from the following expression:
2x - 4y * 9
9
Are x3 and (x)(x)(x) equivalent expressions?
They are equivalent expressions because they give the same result for every value of the variable.
Use the distributive property to simplify:
7(x + 3) + 9(2x - 5)
7x + 21 + 18x - 45
25x - 24
Evaluate.
32 + (16 - 23 + 1)
18
64 / 2 * (1/4)2
2
What is the constant in the simplified expression?
2x - 4y * 9(z+3)
27