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1-100 Operations that “undo” one another are called this.

1-100A Inverse Operations

1-200 These statements say that we must do the same operation on both sides if the equal sign.

1-200A Properties of Equality

1-300 Another way of saying “get the variable all by itself.”

1-300A Isolate the Variable

1-400 A value of a variable that makes an equation true.

1-400A Solution

1-500 The process of finding a value or values of a variable that make an equation true.

1-500A Solving an Equation

You need to complete this step to solve the equation -3x = 18.

2-100A Divide by -3.

2-200 Solve the equation x - (-9) = 26

2-200A x = 17

2-300 Solve the equation

2-300A

2-400 Solve the equation

2-400A

2-500 Solve the equation 3(2x - 4) + 12 = 24

2-500A x = 4

Solve the equation -3x + 9 = 14

3-100A x= -5/3

3-200 Solve the equation 2(4x - 3) = -18

3-200A Solve the equation x = -12/8 = -3/2

3-300 Solve the equation 3(4 - 3x) + 9x = 10

3-300A No Solution

3-400 Solve the equation 7(3x - 4) + 13 = -35

3-400A Solve the equation x = -20/21

3-500 Solve the equation 3(4x - 1) + 2(5 - 4x) = 11

3-500A x = 1

Solve the equation 7x – 4 = 5x + 16

4-100A x = 2

4-200 Solve the equation 2(4x – 3) = -7x - 13

4-200A x = -7/15

4-300 Solve the equation -3(4x – 7) – 6x = 8x – 2x - 27

4-300A x = 2

4-400 Solve the equation 5(4x – 1) + 3 = 4(5x – 2) + 6

4-400A All numbers are solutions

4-500 Solve the equation 3(2x – 1) – (3x – 4) = 5 – 2(3x + 4)

4-500A x = -4/9

Solve for y: 3x – 2y = 4

5-100A y = -2 4 – 3x

5-200 Solve for y: 3(2x – 4y) + 7 = 4x + 3

5-200A y = x - 4

5-300 Solve for y: 5x – 3y + 9 = -7x + 3y - 18

5-300A y = x - 27

5-400 Solve for A: 2A – T = 3B

5-400A A = 2 3B+T

5-500 Solve for H: 3(KH + C) = 6D

5-500A H = 3K 6D – 3C

Five more than three times a number is 23. What is the number?

6-100A Number = 6

6-200 Define a variable and write an equation to represent the following situation: To bowl at Pat’s Lanes, it costs $2.50 for shoe rental and an additional $3.25 per game. How many games can Shari bowl for $15.50?

6-200A x = # games 3.25x = 15.50

6-300 Make up an equation for which all numbers are solutions.

6-300A

6-400 Define a variable and write an equation for the following situation: Barry owes his parents $1,750. If he pays them $50 each month, after how many months will Barry’s debt be down to $500?

6-400A x = # of months 1750 – 50x = 500

6-500 In the following solution, what are the equations 2x – 7 = 5 and 2x = 12 called? 2x – 7 = x = x =6

6-500A Equivalent Equations

Solve the equation Write your answer in fraction form.

X = -69/85

Daily Double Round 1