6th Grade Benchmark Review

Decimal and Fraction Operations

100

3.67 x 1.9

6.973

200

What is 12.034 - 8.257

3.777

300

5^2 + 3.5* 0.12

25.42

400

3/8 -: 2/3

9/16

500

2 1/3 -: 1/9

21

Evaluate Algebraic Expressions

100

What is the value of the expression 3x + 5 when x = 2?

11

200

Evaluate when a = 6 and b = 10

2(b-a)

8

300

Evaluate when x = 2 and y = 3

x² + y² -2(x + y)

10

400

If p= 6, n= 7, and m= 4, evaluate  p² + 5(n) – m

67

500

If y = 4

what is the value of

2y² + 3y - 5

39

LCM and GCF

100

Find the Greatest Common Factor and Least Common Multiple of 10 and 15.

GCF is 5

LCM is 30

200

Find the Greatest Common Factor and Least Common Multiple of 4 and 6.

GCF is 2

LCM is 12

300

Find the Greatest Common Factor and Least Common Multiple of 9 and 12.

GCF is 3

LCM is 36

400

Find the Greatest Common Factor and Least Common Multiple of 24 and 36.

GCF is 12

LCM is 72

500

Destiny has a box of 18 chocolate bars and a pack of 12 cookies.

If Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins, what is the greatest number of snack bags that she can make?

6 bags

Order of Operations

100

3 + 4 x 5

23

200

(5 x 4) – 6 ÷ 2 + 9

26

300

1² + 2² x 3² - 4²

21

400

56 ÷ (4+4) + 3²

16

500

(4-1)² + (5+ 1)²

45

Algebraic Expression

100

What is a variable?

A letter that represents an unknown number.

200

5(3w + 5y - 6)

Simplify this expression by using Distributive Property.

15w + 25y -30

300

8 + 4x - 2 + y 

1. Identify the constant(s)

2. Identify the variable(s)

3. Identify the coefficient(s)

Constants: 8 and 2

Variables: x and y

Coefficients: 4 and 1

400

8 + 4x - 2 + y 

Simplify the expression by combining like terms.

4x + y + 6

500

Simplify the following expression by distributing and combining like terms.

5(3x+4) + 8x + 7

23x + 27