Expressions and Equations

translating

100

the sum of 6 and a number

6+n

200

the quotient of s and 8

s/8

300

Janet collected r amounts of rocks. Sally collected 4 times as many rocks as Janet. Sally collected 12 rocks. Write an equation to represent how many rocks Janet collected. 

4r=12

400

Robert bought some shirts. Then, he bought 12 more shirts. Now, he has 53 shirts. Write an equation to represent the total number of shirts he bought. Let s represent the number of shirts Robert had before he bought 12 shirts. 

s+12=53

Evaluating

100

3s when s=12

36

200

2x + 23 when x = 8

39

300

x²   when x=

1/5

1/25

400

s + frac{1}{8} when s= frac{2}{3}

frac{19}{24}

Equivalent Expressions

100

combine like terms:

2x+6y+x+3y+2

3x+9y+2

200

simplify using the distributive property:

3(4x+2)

12x+6

300

are these expressions equivalent?

8n+8    4(n+1)+4n+4

yes because when you simplify 4(n+1)+4n+4=8n+8

400

simplify:

5x²+3x+4y-x+3y+3

5x²+2x+7y+3

Equations

100

x+5=30

x=25

200

3x=21

x=7

300

y/7=4

y=28

400

(1/5)x=2/3

10/3 or 3 1/3

Inequalities

100

which of the following make this inequality true.

x<3

a. 1  b. 2  c. 3  d. 4

a,b

200

does this set make this inequality true? x<1/2

{1/3, 1/4, 0}

yes

300

x<x² 

if x= 1/3,

is this a true statement?

no

400

4<x<10

which numbers make this inequality true?

x=5,6,7,8,9