Solving Equations
What is the value of m in the equation 2m− (m+ 1) = 0
m = 1
What is (x3)3?
x9
Andy is 25 years younger than his father. The sum of their ages is 53. What is Andy’s age?
Andy is 14
The expression 15 – 3[2 + 6(–3)] simplifies to
63
A teacher asked the class to solve the equation 3(x + 2) = 21. Robert wrote 3x + 6 = 21 as his first step. Which property did he use?
distributive property
The solution to −2(1 − 4x) = 3x + 8 is
x = 2
What is the product of 10x4y2 and 3xy3 ?
30x5 y5
The sum of two times a number and 4 is the product of 12 and 3. What is the number?
The number is 16
Find the equivalent expression to 3x2 - 5x + 26 -(2x2 + 3x - 14)
x2 - 8x + 40
Give me an example of the multiplicative Identity Property
5(1) = 5
What is the value of x in the equation 5(2x − 7) = 15x − 10?
x = -5
The expression 24x6y3 / 6x3y is equivalent to
-4x3y2
The sum of a number and twice the sum the number and 3 is 12. What is the number?
The number is 2.
Which expression is equivalent to 2(x2 - 1) + 3x(x - 4)?
5x2 - 12x -2
When solving p2 + 5 = 8p + 7, Kate wrote p2 + 12 = 8p. The property she used is
the addition property of equality
What is the value of x in the equation x/ 2 + x/ 6 = 2?
x = 3
The expression (2a2b3)(4ab5)(6a3b2 ) is equivalent to
-48a6b10
Find two consecutive integers such that ten more than twice the smaller is seven less than three times the larger.
The numbers are 14 and 15
If y = 3x3 + x2 - 5 and z = x2 - 12, which polynomial is equivalent to 2(y + z)?
6x3 + 4x2 - 34
Which property adds the opposite to get a value of zero?
Additive Inverse
3(x - 4) -2(3x + 4) = 4(3 - x) + 5x + 4
x = -9
The product of 4x2/7y2 and 21y3/20x4 , expressed in simplest form, is
3y/5x2
FREE 200 POINTS
FREE 200 POINTS
The expression (2x + 1)2 - 2(2x2 - 1) is equivalent to
4x + 3
Justify each step in the equation 2(x -4) + 3x = 9
Step 1: 2x - 8 + 3x = 9
Step 2: 2x - 3x - 8 = 9
Step 3: -x - 8 = 9
Step 4: -x = 17
Step 5: x = -17
Step 1: Distributive
Step 2: Commutative
Step 3: Combine like terms
Step 4: Additive Property of equality
Step 5: Multiplicative Property of equality