6th Grade Unit 3 Review

Order of Operations

100

What does each letter in PEMDAS represent? 

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

200

4³ + 1

65

300

15² - 3⁴

144

400

3² + (2³ + 4) 

21

500

24.6 + 4³ x (8.2 - 2) 

421.4

Translating Expressions

100

the quotient of x and 5

x / 5

200

3 fewer than p 

p - 3

300

Mark saves 3 dollars each week. How much money will he save in w weeks? 

3w

400

The quotient of twice t and x

2t/x

500

the cube of s increased by 5

s³ + 5

Equivalent Expressions

100

Are these expressions equivalent? 3x + 2 and 3(x + 2)

NO!

200

Are these expressions equivalent? 4d + 2e and 6de

NO! 

300

Are these expressions equivalent? f + f + f + g and 3f + g

YES!

400

Are these two expressions equivalent? 12x² + 5x + 10 and 17x² + 10 

NO!

500

Are these expressions equivalent? 6(2x + 5y) and 12x + 30y 

YES!

Evaluating Expressions

100

 x² if x = 4

16

200

12x - 7 if x = 4

41

300

y³ + 1 if y = 5

126

400

5z + 3n - z³ if z = 1 and n = 7

25

500

y² / 2x + 3n - z if n = 7, x = 4, y = 8, and z = 1

148

Simplifying Expressions

100

14x - 2x

12x

200

x + x + x 

3x

300

4(3x + 4) 

12x + 16

400

5(4x + 3) - 2x

18x + 15

500

6(3x + 8) + 32 + 12x 

30x + 80