
Vocabulary: In your own words, what does it mean to isolate a variable?

Vocabulary: In your own words, what is an inverse operation?
Match the operation with its inverse.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
inverse of multiplication | arrow_right_alt | subtraction |
inverse of addition | arrow_right_alt | addition |
inverse of division | arrow_right_alt | division |
inverse of subtraction | arrow_right_alt | multiplication |
What is the first step to solve this equation?
Solve this equation.
What is the first step to solve this equation?
Solve this equation.
What is the first step to solve this equation?
Solve this equation.
Put these operations in the order by which you perform them to simplify an expression. (first to last)
multiplication
parentheses ( )
division
addition
exponents
subtraction
To solve an equation we need to undo operations to isolate a variable. So, we need to undo PEMDAS. This means we need to work in a different order.
Put these operations in the order by which you perform them to solve an equation. (first to last)
multiplication and division
parentheses ( )
addition and subtraction (outside parentheses)
Put the steps to solving this equation in the right order.
divide both sides of the equation by 3
Before we start solving, we identify the variable a, so we can solve for it the variable
add 7 to both sides of the equation
the result is x=7
Solve this equation.
What is the first step to solving this equation?
What is the second step to solving this equation?
Solve this equation.
Solve this equation.
17 + 3k = 26
Solve this equation.
4b - 5 = -33
Solve this equation.
8 + 9c = - 10
Solve this equation.
12y + 25 = - 35
Solve this equation.
15h - 9 = - 54
Solve this equation.
8 - 10x = - 32
Solve this equation.
- 16 - 2j = - 34
Solve this equation.
Solve this equation.
Solve this equation.
Solve this equation.
Solve this equation.
Translate this expression.
“eighteen less than a number”
Translate this expression.
“twice a number plus four”
Write each expression in words
-4x+13
Which words or phrases have the same meaning as multiplication?
Directions: Give the perimeter of each figure as a simplified expression.
Evaluate each expression using the variable replacements.
The expression 6x² gives the surface area of a cube, where x is the length of one side of the cube. Find the surface area of a cube with a side length of 5 meters. (Be sure to use the correct unit in your answer)
Use your notes from page 5 to list the 3 steps you use to solve multi-step equations.
1.
2.
3.
Put the steps in the correct order to solve this multistep equation.
undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160
undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
The solution is a = 5
Use distribution to multiply (7a+5) by -4 to get -28a - 20
Solve this multi-step equation. Show your work (SYW)
Put the steps in the correct order to solve this multistep equation.
undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4
Simplify like terms to get the equation -7x - 3 = 25
undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
The solution is x = -4
Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
Solve this multi-step equation. Show your work (SYW)
Put the steps in the correct order to solve this multistep equation.
Simplify like terms to get the equation 13k - 6 = 7
undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1
Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7
Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7
The solution is k = 1
Solve this multi-step equation. Show your work (SYW)
Solve this multi-step equation. Show your work (SYW)
Solve this multi-step equation. Show your work (SYW)