Exponents and Expressions
Writing Algebraic Expressions
Distributive Property
Expressions
Fraction and % review
100
Write (4/5) •(4/5) •(4/5) •(4/5) •(4/5) •(4/5) using an exponent
What is (4/5)6
100
Write five less than eight and one-half times the number of acres of land Samantha has as an algebraic expression. Use a as your variable.
- 8 1/2𝑎 −5 ,
- 8.5𝑎–5 ,
- −5 +8 1/2𝑎 ,
or
- −5 +8.5𝑎
100
Two students are rewriting the expression 8(6 +ℎ). Melanie rewrites the expression as 48 +ℎ. Michael rewrites the expression as 48 +8ℎ. Which student is correct?
Who is Michael
100
Indicate whether or not the two expressions are equivalent using substitution.
4𝑥2 +3 +8𝑥 and 5𝑥2 +3𝑥 +3 +5𝑥 −𝑥2
1/2𝑥 +2 1/2𝑦 +𝑥 +2 and 1/2𝑦 +1/2(2𝑥+5) +𝑥
What is
1) equivalent
2) not equivalent
100
Georgia said she could make 11 out of 20 blankets for a craft show. She has already made 3 blankets. What percent of the 20 blankets does she still have to make?
what is 40%
200
Which expressions are equivalent to 85? Select all that apply.
8 ·5
8 ·8 ·8 ·8 ·8
32,768
40
5 ·5 ·5 ·5 ·5 ·5 ·5 ·5
390,625
What is
8 ·8 ·8 ·8 ·8
32,768
200
Write the algebraic expression to each verbal phrase.
- fifteen fewer than the librarian’s number of books, 𝑏
- the product of two and the number of books, 𝑏, increased by seven
- twelve times the number of books, 𝑏, decreased by 5
- six more than one-third of the librarian’s number of books, 𝑏
What is
b -15
2b + 7
12b - 5
6 + b/3
200
Mr. Burton asks his students to use the Distributive Property and mental math to multiply 15 ·3 1/5.
Find 15 ·3 1/5 using the Distributive Property.
What is 48
200
Simplify the expression 4𝑎2 +1/3𝑎 +5 +𝑎2 +4 +1/3𝑎.
what is 5𝑎2 +2/3𝑎 +9
200
What percent of the grid is shaded?
What is 42%
300
Roma is studying the growth of mold spores on a piece of bread. She puts 3 spores on the piece of bread and records the number of spores over time. She records the results over 12 hours in the table shown and notices a pattern.
Number of Hours Number of Mold Spores
3 3 •3
6 3 •3 •3
9 3 •3 •3 •3
12 3 •3 •3 •3 •3
Predict the number of mold spores growing after 18 hours.
__ spores
What is 37 or 2,187
300
The width of a picture frame is 1/4 the length. Write an algebraic expression of four terms for the perimeter of the picture frame. Use m as your variable.
What is
m +1/4m +m +1/4m,
300
Use the GCF to factor 45𝑥 +75.
What is 15 (5+3x)
300
Evaluate the expression 16𝑎 +𝑏 when 𝑎 =3/4 and 𝑏 =3.
What is 15?
300
Sarah has 2/3 of a yard of fabric. Each scarf needs 1/9 yards of fabric. How many scarfs can she make?
What is 6 scarfs.
400
Identify what step should be performed first to evaluate the expression?
42 ·(1 1/3+5) −10 ·2
what is 1 1/3 +5
400
Identify the terms, like terms, coefficients, and constants in the expression 5𝑠 +1/3 +7𝑠2 +9𝑠 +8.
What is
Coefficients: 5,7,9
Like Terms: 5s and 9s
Constants: 1/3 and 8
Terms: 5s, 1/3, 7s2 , 9s, and 8
400
Find 3(7x - 6) using the distributive property
What is 21x - 18
400
Simplify the expression 3𝑎2 +1/4𝑎 +3 +𝑎2+4 +1/4𝑎.
what is 4a2 + 1/2a + 7
400
What is 3 3/5 x 4 1/2?
What is 16 1/5?
500
Evaluate the expression (1/3)2 •(3 •7 −3) +23
What is 10?
500
Raven is selling makeup for a new skincare line. She sells face wash for $27, face lotion for $22, and an exfoliating scrub for $31.50. She also sells a sample size makeup trial for $4. At her first skincare party, Raven sold 6 bottles of face wash, 3 lotions, and 5 sample size makeup trials. Write an expression to represent the total cost for the products sold.
What is (6 • 27) + (3 • 22) +(5 • 4)
500
Ms. Nagrant asks her students to use the Distributive Property and mental math to multiply 12 ·4 1/6.
Find 12 ·4 1/6 using the Distributive Property.
What is 50?
500
Evaluate the expression when w=5, x= 1/6, y=9, and z=3
18x + y - z + w
What is 14
500
What is 2/3 x 8/5 divided by 4/3
What is 4/5