Algebra Review Week 1

Order is Everything

100

25 - 15 + 5

15

200

48 ÷ 12 x 4

16

300

50 ÷ 2 + 3

28

400

60 - 5² x 2

60 - 5² x 2

60 - 25 x 2

60 - 50

=10

500

50 + 2(20 - 2 x 7)

62

Distribution Central

100

Rewrite the following in distributed form: 

5(6 + 9)

5 x 6 + 5 x 9

200

Rewrite the following in distributed form:

14 (10 + 5)

14 x 10 + 14 x 5

300

Rewrite the following in factored form using the distributive property: 

9 + 45

9(1 + 5)

400

Rewrite this expression in distributed form.

11(b + 7)

11xb + 11 x 7

500

Rewrite the following in factored form: 

15c + 30

15(c +2)

or

5(3c +6)

There's No Substitute

100

Solve the following if a=48

a/8

6

200

Evaluate if b=8

4(13 - b)

4(13-8)

=4 x 5

=20

300

Solve the following if d=8 and e=6

2(d +2e)

2(d +2e)

=2(8 + 2 x 6)

=2(8 +12)

=2 x 20 

=40

400

Solve the following if c=3

2^c + 4c

2³ +4(3)

=2x2x2 +4(3)

=8 + 12

=20

500

Solve the following if f=6 

(4f)/3 + f^2

(4*6)/3 +6^2

(4*6)/3 + 36

24/3 +26

8+36=44

Equivalent...or Not

100

What is an equivalent expression to s + s + s?

3s

or

2s + s

200

Create an equivalent expression to the following by combining like terms: 

2j + 4m - j + 6

j + 4m +6

300

Combine like terms to create an equivalent expression: 

17 + 5g + 11g + 9

5g +11g + 17 +9

16g + 26

400

Are the following expressions equivalent? 

5(3m +12)

and

15m + 60

Yes, they are equivalent.  The distributed form of the first expression is: 

5*3m + 5*12=15m + 60

500

Are the following expressions equivalent? 

2b + 24

2(b+11)

No, they are not equivalent.  We can prove it by applying the distributed property.  Equivalent expressions have the same factored and distributed forms. 

The first expression in factored form is 2(b +12).

The second expression in distributed form is 

2*b +2*11=2b +22

Algebraic Vocabulary

100

True or false: variable are always letters

True

200

True or false: a coefficent is added or subtracted from a variable

False.  Coefficients multiply variables.  In the expression 3m, 3 is the coefficient that is multiplying the variable m. 

300

What is the constant in the following expression? 

7y + 9

9 is the constant.

400

How many terms are there in this expression? 

4b + 3

Two terms: 4b and 3

500

Name all parts of this expression: 

7c + 5d + 25

7 and 5 are coefficents

c and d are variables

25 is a constant

There are 3 terms