4a+ 23=29
a=2
Liam is building a staircase with blocks. The first step has 2 blocks, the second step has 5 blocks, the third step has 8 blocks, and the pattern continues.
what is the pattern rule
start at 2 and add 3 each time
t + t
2t
Show me which column represents x and y?
column 1: x
column 2: y
12,18,24,32
start at 12, add 6 each time
10b- 37= 3
b=4
Sarah is saving money to buy a new bicycle. She starts with $10 in her piggy bank. Every week, she adds $5 to her savings.
10 + 5w =
10 + 5(5) -
10+ 25= 35
38y +18f =
38 y +18f
show me the x and y axis
left to right = z
up and down = y
94,67,40,13
start at 94, subtract 27 each time
7t-12=2
t=2
Kyle bought 4 erasers for $6, 8 erasers for $12, and 12 erasers for $18. Using this pattern, how much would it cost for 14 erasers? Show your work
# erasers
4
8
12
16
Explanations will vary
Cost ( $)
6
12
18
Therefore, 14 erasers would cost $21 Remember to check over your work before handing in!
4 erasers cost $6, 1 eraser cost $1.50. So 14 erasers cost $21
58t +12t - 8s =
70 t-8s
what makes a linear pattern
a pattern that increases/decreases by the same constant rate (+/-)
x>2
open dot on the 2 and arrow----->
5y +17=71
y=71
A dentist visit costs $195 and each filling costs $89. Let f be the number of fillings the dentist needs to fill.
write an expression
195 + 89f
7t +8y +8t -7y =
15 t +y
show me an example of multiplication and division with a variable
2m and 2/m
x≥ 8
closed dot on 8 arrow ------->
25/x + 10=15
x=5
Hanna bought donuts for her friends: chocolate and vanilla. Altogether she bought 12 donuts. She bought twice as many chocolate than vanilla donuts. How many chocolate and vanilla donuts did she buy? Show your work.
V + 2V = 12
3V = 12
V= 4
52t + 30t -37y -8s = ?
82 t -37 y -8s
solve using balancing model
8t= 16+8
t=16
2x> 4
1) solve equation
2) open dot on 2 and arrow ---->