Algebraic Equations

An inverse operation is

• reversing the sign in an inequality
• using the opposite operation to solve equations
•  A number’s distance from zero

Choose an expression that is equivalent to the following
6n + 2(3 - 5n)

• n + 6
• 6 - 4n
• 16n + 6

Choose the first step in solving the following equation.
-3y - 12 = 14

• add 3 from both sides
• add 12 to both sides
• subtract 12 from both sides

• -3m + 36
• -9m + 36
• 3m + 36

- 3( 4 - 2x) = 6

• x = 1
• x = -3 
• x = 3

Which expression represents the phrase below?          83 less than a number n

• 83 - n
• n - 83
• 83/n
• n/83

If n stands for the unknown number, which expression represents the phrase below?     the sum of a number and three, divided by seven

• n + (7 ÷ 3)
• (7 ÷ 3) + 3
• 7 ÷ (n + 3)
• (n + 3) ÷ 7

The Hamied family styaed at a hotel for n nights. The cost was $80 per night plus a one-time fee of $20 because they brought their dog. Which expression represents the total cost of their hotel stay?

• 80 + 2n
• 80n + 20
• 80 + 20n
• 80 + 20 + n

Which is equivalent to the expression below?    4a + 5 - a + 2

• 10a
• 11a
• 3a + 7
• 4a + 7

What is the value of this expression when c = 4?    4c + 3c - 2c

• 20
• 28
• 36
• 40