Ratios and Rates
In a drawing, there are three circles, four stars, and three triangles. What is the ratio of stars to the total number of shapes.
What is 2:5 or 4:10
There are 20 students in a class and 14 of these students passed their math test. What percentage of these students passed the test?
What is 70%
What is the greatest common factor of 30 and 48?
GCF = 6
What is the Order of Operations and what are the steps?
A strategy to help us solve expressions.
1. Parentheses
2. Exponents
3. Multiplication OR Division (left to right)
4. Addition OR Subtraction (left to right)
Jess collected m dollars for the children's fund. Delmar collected $57 more than Jess. Write an algebraic expression that can be used to determine how much Delmar collected.
m + 57
What does it mean to find an equivalent expression?
To find or write an expression that has the same value but will look different
Write a unit rate for this situation: 310 heartbeats per 5 minutes
62 heartbeats/minute
55% of what number is 33?
What is 60
What is the least common multiple of 12 and 9?
LCM = 36
Solve.
2z+3 when z=9
21
Tia is 8 years younger than her sister Annie. Annie is y years old. Write an algebraic expression that describes Tia's age.
y - 8
What are the strategies for finding equivalent expressions?
-Factoring/GCF
-Distributive Property
-Combining Like Terms
The science materials cost $65.70 to do the experiment. If 9 students participated in the experiment, what was the unit cost per student?
$7.30 per student
PS 89 has six 6th grade classes. If there are 15 classes total between the 6th and 7th grade, then what percent of the classes are in the 6th grade?
What is 40%
Samantha has 2 1/3 cups of ice cream to make milk shakes. Each shake uses 1/8 cup of ice cream. How many milk shakes can she make?
18 milkshakes
Solve.
27 - 18 +(35 -31) + 42
29
Write the following as an expression, using the variable x.
The sum of 15 times the number x and 7
15x + 7
Find an equivalent expression:
18x + 72
9(2x + 8)
Ivy's Fresh Eggs transports its eggs in crates. It takes 2 trucks to carry 80 crates. What is the number of crates that 8 trucks can carry.
320 crates
For a math test, Jesus correctly answered 34 questions. Jesus got an 85% on the math test. How many questions were on this test?
What is 40 questions
What is the quotient of 16.24 and 3.2?
5.075
Solve.
(5 * 7) * 2 - 56 + 23
22
Write an expression
p divided by 5 decreased by 4
p/5 - 4
Find an equivalent expression:
5(3x+4)
15x + 20
What is 35% of 80?
What is 28
What percent of 80 is 12?
What is 15%
Marcus and his 3 friends have a lawn mowing business. Last summer, they earned a total of $2,432.80. How much money did each friend make?
$608.20
Solve.
300 - (3 + [3(2 + 4) - 5])
287
Write the following expression:
twice r less than 12
12 - 2r
Find an equivalent expression:
4(2x + 7) + 6x - 13 + 3x2
3x2 +14x + 15