Vocabulary
Give an example of a variable
Any letter is correct
Which operation do you perform when using the Distributive Property?
Multiplication
What does the word combine mean?
to add together
What would you do first to solve this?
3(3x + 4) - 9 = 30
Distribute the 3 to the 3x and the +4 to get 9x + 12.
Write an equation to represent:
Four time a number plus 5 is the same as 10 more than eight times the number.
What is the coefficient in 3x - 4 = 12?
3
Distribute:
3(x + 4)
3x + 12
Which term in this expression could be combined with 3x?
2x + 9y -10 - 8c
2x
Solve:
3x + 5x + 9 = 33
x= 3
Write an equation to represent:
Sam can buy a video game console for $72.45 and retn a game for $7.95 per week, or she can rent a console and the same game for a totla of 22.44 per week. How many weeks would Sam need to rent both the video game and the console to pay as much as she would if she had bought the console and rented the game instead?
let x = number of weeks
72.45 + 7.95x = 22.44x
Give an example of a constant
Any number
Distribute:
-2(3x - 5)
-6x + 10
Combine:
3x + 12 - 4x + 6
-1x + 18
Name the 3 specific steps that you need to do when solving multistep equations.
1. Distribute what's outside parentheses to what's inside.
2. Combine like terms.
3. Use inverse operations to 'cancel out' variables, constants, and coefficients.
Write an equation for:
Joe walks into a store and notices all gum costs the same amount of money. He picks up 12 packs of one brand and 7 packs of another brand. He receives $5.75 in change from a $20 bill. How much is each pack of gum?
Let x = $ per pack of gum
12x + 7 x + 5.75 = 20
20 - 12x - 7x = 5.75
20 - (12x + 7x) = 5.75
What is the variable in 3x - 4 = 12?
x
What number will you distribute in:
8 - 2(7x + 9) =20
-2
Name a pair of like terms in the expression below.
3x - y +12 - 10y + 4x -2
3x and 4x OR -y and -10y OR 12 and -2
Solve:
4x - 4 = 2x + 4
x = 4
You went shopping at a hardware store and bought a few screwdrivers and several boxes of screws. You bought twice as many boxes of screws as you did screwdrivers. If in total you purchased 12 items, how many of each item did you buy? Solve.
2x = # boxes of screws
x + 2x = 12
4 screwdrivers & 8 boxes of screws
What is the coefficient in 7 - x = 19?
-1
Perform the distribution:
10 - (x + 2) = 14
10 - x - 2 = 14
Perform the CLT
3x - 5 + 7x = -12 + x + 3
10x - 5 = x - 9
Solve for x:
8 -2(x + 5) = 3x - 17
x = 3
The length of a rectangle is 3 less than 4 times the width. The perimeter is 34 ft. Find the length and width.
let w = width
4w - 3 = length
w + w + 4w - 3 + 4w - 3 = 34
width 4 ft & length 13 ft