Like Terms
3f+3+2f=18
5f+3=18
5f=15
f=3
What is equivalent to 116+18?
134
5x=20, what does x equal?
20 ÷ 5=4.
x=4
Solve this problem.
a+84-8=115
a+76=115
a=39
What does independent and dependent mean?
Independent - does not rely on anything else for its value
Dependent- relies on the other variables to find its value.
4+d+7=?
11+d
What is equivalent to 6(x+32)?
6x+192
Which value in the set (3,5,6,7 ) is a solution of the equation 6x=42.
Only solution is 7.
Solve the equation.
v/7=18
Flip fraction 7.18 which is 126.
v=126
Which value is independent and which is dependent. Explain.
v=s+5
V is dependent upon what S is
S is independent, because it does not rely on V
6b-2b+17=37
4b+17=37
4b=20
b=5
Use the distributive property to write two different expressions that equal 10. Each expression should be the product of a number and a sum.
Sum: 1+9, 2+8, 3+7, 4+6, 5+5
Product: 1⋅10, 2⋅5
Which value in the set (5,6,7,8,9) is a solution of the equation 22-g=13.
Only answer is 9
Dominic has 40 comic magazines. This is 20% of the magazines he has. How many magazines does Dominic have in all?
20% ⋅ 5 = 100%
So 40 ⋅ 5 = 200
He has 200 comic books.
An animal reserve is home to 8 meerkats. It costs the reserve $1.50 per day to feed each meerkat. Write an equation with two variables that can be used to determine that total cost of feeding the reserve's meerkats for any number of days.
d=days
c=cost
days ⋅ $1.50 ⋅ 8meerkats = cost
(d⋅1.50)⋅8=c
15/5 + 6k=9
3+6k=9
6k=6
k=1
The cost of a roller coaster ride is $5.00 for the first time and $3.00 for each additional ride. Rewrite the expression 5.00+3.00(r-1) for the cost of the roller coaster ride in dollars as a sum of two terms, where r represents the rides taken.
5.00+3.00(r-1)
5.00+3.00r-3.00
2.00+3.00r
Which value in the set (11,12,13,14) is a solution of the equation 9y=126?
Only solution is 14
Cory has 50 marbles. Cory wants to know how many marbles is 32% of 50.
m=marbles 32% = 0.32
0.32m=50
m=16
Which points would be correct in the equation?
x ÷ 23=y
A. (90,4)
B. (138,6)
C. (46,3)
D. (207,8)
B.) 138 ÷ 23 = 6
15h+12-9h+5+8h=143
14h+17=143
14h=126
h=9
a.) Rewrite the expression 11(5-6n+2) as a difference.
b.) Fill in the blanks for 50+110. GCF.
_____ ⋅ (5+____)
a.) 55-66n+22
77-66n
b.) 10⋅(5+11)
a.) Solve the problem. x+y=46, when x is 17.
b.) What if y was -6, what would x be? Tricky!
a.) x = 17 and y=29
b.) x = 52 and y=-6
Brad collects donations in May and June. In May he collects $623.60 in donations. In June, Brad collects $12.80 each. At the end of June, Brad has $905.20. Find the number of donations Brad collected in June.
623.60+12.80d=905.20
12.80d=281.60
d=22 donations
One paperclip has a mass of 1.5g. Each box contains 100 paperclips. Write an equation with two variables that can be used to determine the total mass in grams of the paperclips in any number of boxes.
100 paperclips . 1.5g per paperclip = 150g/box
mass of 1 box is 150g
b=# of boxes
m=total mass of paperclips
m=150b