Review
What is the GCF of 12 and 10?
60
What is the main difference between an expression and an equation?
An expression doesn't have an equal sign while an equation does have an equal sign.
3b (2c + 4)
6bc + 12b
Miguel’s scooter can travel at a maximum speed of 45 miles per hour. Write an inequality for s, at which Miguel’s scooter can travel.
s ≤ 45
Solve and Check:
2.25 + x = 8.75
x= 6.50
The change, in yards, in a football team’s position on the field for each of their last four plays is shown below.
– 4, 7, –7, 0
Compare the changes in yards from least to greatest.
-7 < -4 < 0 < 7
Use PEMDAS so solve the following expression:
42 + (8-3) x 10
66
Factor:
36bc - 12b
12(3bc-b)
A box of cookies costs $4. Freeman has $34. The inequality below can be used to find the numbers of boxes of cookies, x, Freeman can buy with $34.
4x ≤ 32
How many boxes of cookies Freeman can buy with $34?
x ≤ 8
Solve and Check:
3.2b= 13.76
b=4.3
What set of expressions are equivalent?
b + b + b and b3
3(4x + 5) and 12x + 5
3x + 8 - x + 2 and 10 + 2x
3x + 8 - x + 2 and 10 + 2x
Solve the following expression when w=5 and r=2.
4w + 6r - 22
28
Distribute:
6x (5y + 3)
30xy + 18x
r ≥ 55
3x + 17y + 7 - 2x + 3 y - 4
x + 20y + 3
There are 18 cats and 15 dogs at the animal shelter. What is the ration of dogs to cats in simplest form?
5/6
Kelly reads for 30 minutes each day. She wants to determine how many minutes she will read over the course of several days.
Identify the independent and dependent variables.
Write an equation to find the number of minutes she will read over d days.
Ind: Number of days she reads
Dep: Total minutes she reads
Equation: 30d= t
Factor:
25f + 15 h
5 (5f + 3h)
Cara never has less than 4 glasses of water each day.
Write an inequality and graph it on a number line.
g ≥ 4
Solve and check:
c/3.6 = 2.2
c= 7.92
Write the following expression in algebraic form.
a number r less than 2 times w
2w - r
Distribute:
5ab (4c + 7)
20abc + 35ab
x+4≥ 12
x ≥ 8
Are these expressions equivalent? Why or Why not?
a^4 = a+a+a+a
No,
a^4 + a*a*a*a