Equations
Solve:
76 + x = 100
x = 24
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
What operation do the words mean?
SUM and DIFFERENCE
Sum = add
Difference = subtract
Solve:
4w = 48
w = 12
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
What operation do the words mean?
PRODUCT and QUOTIENT
Product = multiply
Quotient = divide
Evaluate:
w/6 = 12
w = 72
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
What is the difference between an equation and an expression?
An equation has an equal sign, and an expression does not.
Evaluate.
3x + 14 = 8
x = 2
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
What is the exponent rule when raising a power to a power?
Ex: (x9)3
Keep the base and multiply the powers.
Evaluate:
14 + 3x = -64
x = -26
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
-11x - 24
Evaluate.
32 x (16 - 23 + 1)
81
Name the constants and the coefficients:
7x - 4 - 9y + 3 - 8x + 25
Constants: -4, 3, 25
Coefficients: 7, -9, -8