Vocabulary
A mathematical phrase that contains operations, numbers, and variables, but no equal sign.
What is an expression?
x - 7 = 5
x = 12
7k - 14 = 42
k = 8
Carla is a waitress at Daybreak Diner, and she earns $5 for each hour she works. Last week, she earned $148 total, including $68 in tips. Write an equation that would represent how much Carla made last week with h, representing the hours she worked.
5h + 68 = 148
-6 - 8 = ?
-14
A mathematical sentence that shows that two expressions are equivalent.
-6y = -30
y = 5
r/4 - 12 = -5
r = 28
Ms. Chedraoui is a dog trainer. For each job she charges $100 for the first hour she works and $75 for each additional hour. Ms. C charged a total of $500 for a job on Sunday. Write an equation that can be used to determine h, the number of additional hours she worked on this job?
100 + 75h = 500
Solve:
3(10 - x) = 42
x = ____
x = -4
The distance a number is from 0
Absolute value
r + 23 = 8
r = -15
-5 + 7k = -19
k = -2
Mr. Maldonado had a gift card with a $300 balance. He then bought several soccer jersey's for his team that cost $15 each. After the purchase, his gift card balance was $120. Which equation can be used to determine the number of Jersey's, j, he purchased?
300 - 15j = 120
If k = -4 , is the following equation true?
k/2 + 11 = 12
No!
A missing element, usually a letter, representing the missing solution to an equation
Variable
w/8 = 2
w = 16
-12 = 24 + 4b
b = -9
Ms. C gave the class a gift card with a $100 balance. The class then decided to order pizza for $5 each. After the purchase, the gift card balance was $35. Which equation can be used to determine the number of pizzas, p, the class purchased?
100 - 5p = 35
-54 ÷ -6
9
The opposite operation is...
The inverse
y - 3.5 = -2.1
y = 1.4
9 = 4a +13
a = -1
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
Let c be the number of comic books Jill started with.
YOU WILL SOLVE THIS ONE!
c = 40 comic books
Find the RANGE of the following set of numbers:
12 8 9 0 8 14 35 16 37 2 19
37