7th Grade Math Review: Chapter 1

1.1 Describing Patterns

100

Describe the pattern. Then write the next three

1, 5, 25, 125,...

Multiply the previous number by 5: 625, 3125, 15,625

200

Describe the pattern. Then write the next three numbers.

100, 91, 82, 73,...

subtract 9 from the previous 

64, 55,46

300

Describe the pattern. Then write the next three numbers

2, 3, 6, 11, 18,...

add 1, then add 3, then add 5, then add 7, and so on: 27, 38, 51

400

Consider the patterns 12, 21, 30, 39,.... Will the 15th number have a value that is less then 100? less then 200? Explain

you are adding 9 each time. by the 15th number you added 9 fourteen times, and 14X9=126. The 15th number is 12+126=138, which is greater than 100 and less then 200.

500

Each pattern below uses the same rule. Find the rule.

2,11,38,119... 3,14,47,146... 4,17,56,173...

Multiply the previous number by 3, then add 5

1.2 Variables and Expressions

100

Copy and complete: A ____ is a letter used to represent one or more numbers.

variable

200

X+14 when X=8

(8)+14= 22

300

6/S when S=3

6/(3)= 2

400

mx when m=13 and x=3

(13)(3)= 39

500

Copy and complete the statement using <,>, or = when x=7 and y=15

3x ___ Y+6

3(7) = (15)+6

21 = 21

1.3 Powers and Exponents

100

Write the product as a power

3X3X3X3X3

3⁵

200

Write the product as a power

K x K x K x K

k⁴

300

Write the number as a power

49

7²

400

Write the number as a power

625

5^{4 or} 25²

500

copy and complete the statement using <,>, or =

3⁵ ____ 5³

>

1.4 Order of Operations

100

6+7X4

6+7X4

6+28

34

200

(1+6)(5-2)²

(1+6)(5-2)²

(7)(3)²
(7)(9)

63

300

9/3X3⁴

9/3X3⁴

9/3X81

3x81

243

400

16/(3²-1)

16/(3²-1)

16/(9-1)

16/(8)

2

500

Copy and complete the statement by placing parentheses to make the statement true.

20-3²X2+8=30

(20-3²)X2+8=30

1.5 Equations and Mental Math

100

Tell whether the given value of the variable is a solution of the equation

16+Y=22, when Y=8

No

16+8=24

200

Tell whether the given value of the variable is a solution of the equation

9=z-12, when z=20

No

8=20-12

300

solve the equation using mental math

10X=120

10(12)=120

X=12

400

Solve the equation using mental math

20-b=3

20-(17)=3

b=17

500

Solve the Equation using mental math

4-2a=0

4-2(2)=0

4-(4)=0

a=2