Problems You Should Know FOR SURE
True or False? Why?
8x + 3 = 11x
False. Not like terms!
j - 3.5 = 8.1
What is j = 4.6?
Is -4 a solution?
m > -2
What is 'no'?
coefficient
What is the number a variable is multiplied by?
Is 0.6 a solution?
4.2 = 7y
Yes
3/4m = 12
What is m = 16?
0.6a = 24
What is a = 40?
Graph:
s > 3
Closed dot on the three, arrow to the right
constant
What is a number on its own?
Is 12 a solution?
8 = y/2
No
Write & graph an inequality: Jasper can participate on sports teams if he keeps an average of 75 or above in all his classes.
g > 75
open dot on 75, arrow to the right
p/2.2 = 4.4
What is p = 9.68?
How would you graph:
12 < t
Open dot on the 12, arrow to the left
Equation
What is a math statement including an equal sign?
Is 8 a solution?
35/4 = x + 3/4
Yes
Jake walked to raise money for charity. Peter walked 3/5 of the distance that Janice walked. If Peter walked 18 miles, how far did Janice walk?
Write and solve an equation.
What is
3/5x = 18 and
30 miles?
A big tank holds 3 times as much water as a small tank. If the big tank holds 74 gallons more than the small tank, how much water does the small tank hold?
37 gallons
This is the reason why we use an open dot vs closed dot when graphing inequalities.
Open dot: does not include the number as a solution, but you can get infinitely close to it.
Closed dot: includes the number as a solution
Inequality
What is a math statement comparing two values with <, >, <, >
Is 5 a solution?
25 > 5k
No
A club knits caps for a charity. They knitted 26 more caps in August than they did in September. If the club knitted a total of 250 caps in August and September, how many caps did they knit in September?
What is 112 caps?
If 1/4 of a number n is h, what is two times n?
8h
Theresa saves $60 each week. She needs to save at least $2,400 for a trip. How many weeks will she need to save? Write and solve an inequality.
What is 60w > 2,400?
And...
w > 40
Inverse operation
Define and give two examples
What is the opposite operation?
addition/subtraction
multiplication/division
Name the three smallest whole number solutions.
m/4 - 5 > 31
144, 145, 146