vocabulary
To evaluate an expression means to....
find its value.
Evaluate.
26
64
One day, 28 small and 12 large merchant spaces were rented. Another day, 30 small and 15 large spaces were rented. Write and evaluate an expression to show the total rent collected.
use diagram below
"THE FLEA MARKET"
merchant space rentals
small space- $7.00/day
large space- $9.75/day
Open Daily from 9:00-6:00
28(7)+12(9.75)+30(7)+15(9.75)= $669.25
Use the distributive property to rewrite 12*82. Then evaluate.
(10+2)82= 820+164= 984
What is the saying to help remember the order of operations? And what does each word represent?
Please - Parentheses
Excuse- Exponents
My- Multiplication
Dear- Division
Aunt- Addition
Sally- Subtraction
The rule that lets you know which operation to perform first is called?
Order of Operations
Evaluate.
(8-3)*3(3+2)
75
In 2004, there were 3344 amusement parks and arcades. This decreased by 148 by 2009. Write and evaluate an expression to find the number of amusement parks and arcades in 2009.
3344-148=3196
Rewrite the expression using the Distributive Property. Then simplify.
12(y+3)
12(y+3)
= 12*y+12*3
=12y+36
Grouping symbols such as parentheses (), brackets [], and braces {} are used to...
clarify or change the order of operations.
Terms that contain the same variables, with corresponding variables having the same power are called...
Like terms
Evaluate 2(x2-y)+z2
if x=4, y=3, and z=2.
30
Akira bought one book for $20 and three books for $4.95 each. Write and evaluate an expression to find how much money the books cost.
20+3*4.95= $34.85
Rewrite the expression using the Distributive Property. Then simplify.
4(y2+8y+2)
4(y2+8y+2)
=4(y2)+4(8y)+4(2)
=4y2+32y+8
Each side of the Great Pyramid of Giza, Egypt, is a triangle. The base of each triangle once measured 230 meters. The height of each triangle once measured 187 meters. The area of a triangle is one-half the product of the base b and its height h.
Write an expression that represents the area of one side of the Great Pyramid. Solve.
1/2(bh)
1/2(230*187)= 21,505 m2
Simplest form
evaluate. a=4, b=6, c=8
2a+(b2/3)
20
A pilot at an air show charges $25 per passenger for rides. If 12 adults and 15 children ride in one day, write and evaluate an expression to describe the situation.
25(12+15)= $675
Simplify
17a+21a
38a
John Burns approximately 420 calories per hour by inline skating. The chart below shows the time he spent inline skating in one week.
day | Mon | Tue | Wed | Thu | Fri | Sat | Sun |
time (h) | 1 | 1/2 | 0 | 1 | 0 | 2 | 21/2 |
To determine the total number of calories that he burned inline skating that week, you will need to use?..
Distributive Property
Numerical factor of a term is called...
coefficient
evaluate. g=2, r=3, t=11
3g(g+r)2-1
149
Time Management
Margo uses dots to track her activities on a calendar. Red dots represent homework, yellow dots represent work, and green dots represent track practice. In a typical week, she uses 5 red dots, 3 yellow dots, and 4 green dots. How many activities does Margo do in 4 weeks?
48 activities
Using the expression six times the sum of x and y increased by four times the difference of 5x and y.
a. Write an algebraic expression for the verbal expression.
b. Simplify the expression and indicate the properties used.
a. 6(x+y)+4(5x+y)
b. =6(x)+6(y)+4(5x)-4(y) distributive property
=6x_6y+20x-4y multiply
=6x+20x+6y-4y commutative (+)
=(6+20)x+(6-4)y distributive property
=26x+2y substitution
John Burns approximately 420 calories per hour by inline skating. The chart below shows the time he spent inline skating in one week.
day | Mon | Tue | Wed | Thu | Fri | Sat | Sun |
time (h) | 1 | 1/2 | 0 | 1 | 0 | 2 | 21/2 |
a. How can you represent the time John spent inline skating that week?
b. By what number would you multiply the quantity to find the total number of calories burned?
c. How can you represent the total number of calories burned as one quantity?
a. 1+1/2+0+1+0+2+21/2
b. 420
c. 420(1+1/2+0+1+0+2+21/2)