Algebra & Patterning Unit Review

Integers/Algebraic Expressions

100

Calculate the Sum: 

(-18) + 35 =

17

200

Find the Algebraic Expression:

Sixty- six subtracted from a number.

n-66

300

Find the Algebraic Expression:

Four times a number decreased by 12

4n -12

400

Solve:

102-(-81)= 

183

500

Find the product:

5 x (-8)=

-40

Algebraic Expressions

100

____________ is the symbol or letter used to represent a value.

Variable

200

Find the algebraic expression for the following sequence:

10, 14, 18, 22, ......        

4n + 6 =10

300

Find the Algebraic Expression:

Eight divided by twice a number

2n ÷ 8

400

Find the algebraic expression for the following sequence:

9, 4, -1, -6, ......    

-5n + 14=9

500

Find the Algebraic Expression:

Forty- three added to a number squared

n² + 43

Simplify or Substitute

100

Calculate: (x + 7) ÷ 3y

When: x= 2, and y= 3

9

200

Calculate: x² - 5

When: x = 6

31

300

Simplify and Collect the Like Terms: 

–4 + 8p – 6p – 5 + 20p

22p – 9

400

Calculate: √j

When: j= 49

7

500

Simplify and Collect the Like Terms: 

2(5a + 10) – 3(2a + 1) + 4(a + 5)

8a + 37

Distributive Properties

100

Use the distributive property to simply the expression:

2(4 + 9w)

18w + 8

200

Use the distributive property to simply the expression:

4(-6z + 4)

-24z + 16

300

Use the distributive property to simply the expression:

-(4m-4)

-4m + 4

400

Use the distributive property to simply the expression:

x(x + 4x + 11)

5x² + 11x

500

Use the distributive property to simply the expression:

-2 (3p +2) -3 (5p- 7)

-21p + 17

Solving for X/ Word Problems

100

Is the following relation linear? How do you know? 

Term #       Term Values

1               4

2              5.5

3               7

4             8.5  

Yes, this relationship is linear because the pattern rule does not change, it increases by the same value/amount each time. 

200

Solve for X:

2x + 6 = 14

x= 4

300

Solve for y:

y²= 121

y= 11

400

Solve for n:

5n + 15= 30

n= 3

500

Solve. Remember your let and therefore statements!!

Oceanside Bike Rental Shop charges 15 dollars plus 7 dollars an hour for renting a bike. Tom paid 43 dollars to rent a bike. How many hours did he pay to have the bike checked out ?

Tom paid to have the bike checked out for 4 hours.