Chapter 4

Proportions

100

At the store 1/4 of the aisles are for produce. If 12 aisles are for produce, how many aisles are there in total?

48 total aisles

200

Jake can decorate 8 cookies in 20 minutes. How many cookies can he decorate in 35 minutes?

14 cookies

300

Jayden loves trading cards. Every weekend he walks to the store and buys some. Last week he bought 3 packs for $12.72. This week he bought 1/2 a pack for $2.12. Next week he plans to buy 5 packs. How much will it cost him?

$21.20

400

The store sells 6 shirts for $75. The basketball team needs 14 shirts. The store charges the team $180. Is this correct?

No, 14 shirts cost $175. The store overcharged $5. 

500

Based on the order pair (5 shirts, $32), how much would 7 shirts cost?

$44.80

Factoring

100

Find the GCF: 13x + 78

13

200

Find the GCF: 4x+12xy

4x

300

Factor the expression: 

-4x + 16 

4(-x+4)

400

Factor the following expression: -6x + 3xy

3x(-2 + y)

500

Factor the expression: 12x²+3x⁴

3x²(4 + x²)

Combining Like Terms

100

Create an equivalent expression: 

7+3x+9x

12x + 7

200

Create an equivalent expression: 

4y +(-6)-(-9y)+14

13y + 8

300

Create an equivalent expression: 

-8x + 6 - 9 + -8x

-16x + -3

400

Create an equivalent expression: 

4(3x-6)+(-5x)

7x + - 24

500

Create an equivalent expression: 

5 - 3(7x-2)+(-6x)

-27x + 11

Substitution

100

 3b-5²  

when b = -4.5    

-38.5

200

|-9.3m + 6|      

when m = 6 

49.8

300

4.6x/16y 

when x=4 and y = - 1/2

18.4/-8    or      -2.3

400

 4g +h  

when g = 0.4  and h = 2

3.6

500

 x²+y² 

when x=7   and y =(-3)

58

Often Missed

100

4b-4²  

when b = -2.5    

-26

200

x²+y² 

when x=6   and y =(-2)

40

300

Factor the expression: 16x²+4x⁴

4x²(4+x²)

400

At the store 1/5 of the aisles are for snacks. If 3 aisles are for snacks, how many aisles are there in total?

15 aisles