Part A - write 3 to the sixth power in expanded form
Part B - Write 6 x 6 x 6 in exponential form
Part A - 3 x 3 x 3 x 3 x 3 x 3
Part B - 6³
Part A:
The sum of 12 and an unknown number
Part B:
25 less than z
Part A:
12 + x
Part B:
z-25
Write an equivalent expression with as few factors as possible (simplest form):
Part A: 2x ⋅ 3 ÷ 6y(4)
Part B: ⅓ ⋅ ⅗ ⋅ 4y
Part A: 6x/24y
Part B: 12y/15
Evaluate when x = 3 and y = 5
2x + 6y
x = 3 and y = 5
2x + 6y
2(3) + 6(5)
6 + 30
ANSWER = 36
Luna cuts out paper rectangles. The width of each rectangle is 4 inches more than the length.
Part A: Define the two variables
Part B: Write an equation to represent the relationship between width and length
Part A: let w represent width, let l represent length
Part B: w = 4 + l
find the value of:
(2/3)³
8/27
Part B: 10 less than the quotient of 3 and x
Part A: 1/2(6 + x)
Part B: (3 ÷ x) - 10
Use the distributive property to find an equivalent expression:
Part A: 2(3x - 6)
Part B: x(4 + 7)
ANSWERS
Part A: 2(3x - 6) = 6x - 12
Part B: x(4 + 7) = 4x + 7x
Evaluate & SHOW WORK!:
x - 6 = 32 43 + y = 66
x - 6 = 32 43 + y = 66
+6 +6 -43 -43
------------- ------------
x =38 y=23
Identify the independent and dependent variables
x = 56y
x = dependent
y = independent
Part A: Write an equivalent expression to show the relationship between multiplication and addition:
2 + 2 +2 + 2 +2 + 2 +2 + 2 + 5 + 5 + 5
Part B: Evaluate
Part A:
(8 x 2) + (5 x 3)
Part B:
31
Jenna has $20. She spends some of that at the store.
Part A: Define the variable
Part B: Write an algabraic expression to represent the situation
Part A: Let m represent the $ she spends
Part B: 20 - m
Use the distributive property and GCF to factor the following expressions:
Part A: 30 + 18
Part B: 8x - 40
ANSWERS
Part A: 30 + 18 = 6(5+3)
Part B: 8x - 40 = 8(x - 5)
Evaluate and show work!
3x = 45 x/4 = 14
3x = 45 x/4 = 14
/3 /3 4(x/4 = 14)4
-------- ----------------
x = 15 x= 56
A recipe says to roast the chicken for 18 minutes per pound.
Let m represent minutes
Let p represent the number of pounds of chicken
Part A: Write an equation to represent the relationship between the two variables
Part B: Label the independent & dependent variable
A recipe says to roast the chicken for 18 minutes per pound. Let m represent minutes. Let p represent the number of pounds of chicken.
Part A: m = 18p
Part B: m is the DEP and p is the IND
Evaluate:
5+ 12 ÷ 3 ⋅ 9 - 7
5+ 12 ÷ 3 ⋅ 9 - 7
5 + 4 ⋅ 9 - 7
5 + 36 - 7
41 - 7
ANSWER =34
Timmy earns $15 per hour he babysits.
Part A: Define the variable
Part B: Write an algebraic expression to represent the situation
Part A: Let h represent the hours he babysat
Part B: 15h
Combine like terms:
15g + 5 + 4x + 3g + 2g + 3 + x
15g + 5 + 4x + 3g + 2g + 3 + x
ANSWER = 20g + 5x + 8
Write an equation to represent the description. Then solve the equation:
The product of 3 and 4 has the same value as the quotient of x and 2.
3 ⋅ 4 = x/2
12 = x/2
ANSWER x = 24
Using the equation from the previous problem, complete the table that represents the relationship
m = 18p
pounds | minutes
1 |
2 |
5 |
10 |
pounds | minutes
1 | 18
2 | 36
5 | 90
10 | 180
Evaluate:
2(50-3 ⋅ 2²)
2(50-3 ⋅ 2²)
2(50-3 ⋅ 4)
2(50 - 12)
2(38)
ANSWER = 76
Six friends split the total cost of some pizza and a pitcher of soda. The pizza costs $27.
Part A: Define the variable
Part B: Write an algabraic expression to represent the situation
Part A: Let p represent the pitcher of soda
Part B: (27 + p) ÷ 6
Distribute & combine like terms:
4(x+2) + 5(3x +1)
4(x+2) + 5(3x +1)
4x + 8 + 15x + 5
ANSWER = 19x + 13
Miss Perez has less than 4 candy bars
Part A: Write an inequality to represent the situation using the variable c
Part B: Graph the inequality on a number line
Part C: Check if the following numbers are solutions: 0, 2, 4, 6
Miss Perez has less than 4 candy bars
Part A: c < 4
Part B: See Board!
Part C:
0 <4 YES
2 < 4 YES
4 < 4 NO
6 < 4 NO
Maggie is having a bake sale. She starts with $5 in her cash register. She sells each item for $2.
Part A: Fill out the table
# of Items Sold (I) | Total Cash in the Register (T)
________0_________|______________________
________1 ________|_______________________
________3_________|_______________________
________5_________|_______________________
Part B: Create an equation using the variables I provided
Part C: Identify the IND and DEP variables
Part A: Fill out the table
$5, $7, $11, $15
Part B: Create an equation using the variables I provided:
(I ⋅ 2) + 5 = T
Part C: Identify the IND and DEP variables:
IND = I
DEP = T