Math 1 Module 2 Review

Writing & Interpreting Equations

100

Five added to six times a number is the same as the quotient of 32 and the number.

6n+5=32/n

200

The product of six and the sum of a number and nine equals two times the number subtracted from four.

6(x+9)=4-2x

300

Write a sentence that represents the following equaiton: x²−9=16

x squared minus 9 equals 16

x squared minus 9 is 16

9 less than x squared is 16

400

25 less than the cube of x is equal to four times the sum of y and five.

x³-25=4(y+5)

500

Anthony has saved $35 of the $140 he needs to purchase a new bicycle. He plans to save $15 each week, until he has enough money to buy the bicycle. Write an equation to find the number of weeks it will take Anthony to save enough to buy the bicycle.

15w+35=140

One Step/Multi Step Equations

100

Solve both equations:

h−12=5

z+4=22

h=17

z=18

200

Solve both equations:

36+x=63

−5d=65

x=27

d=-13

300

Solve both equations:

43−(−c)=32

6m+12=−6

c=-11

m=-3

400

Solve both equations:

43=8z+11

x/2-12=24

z=4

x=72

500

A photographer sells his photographs for $20 each at an art show. He spent $185 to print the photographs and made a profit of $55 at the art show. Write and solve an equation to find p, the number of photographs sold.

20p-185=55

p=12

Variable on Each Side

100

Solve the equation:

6v–4=–3v+59

v=7

200

Solve the equation:

−t+7=3t+15

t=-2

300

Solve the equation: 

(4x+10)/2=-3x

x=-1

400

Solve the equation:

6+3(y+4)=2(y+1)+11

y=-5

500

Solve both equations to state if there is one solution, no solution, or identity. If there is one solution, state what the solution is. 

5p+7=−7+5p

4(x+3)=4x+12

no solution

identity

Absolute Value

100

Solve the equation:

|x+3|=2

x= -5, -1

200

Solve the equation:

|d−4|=−2

no solution

300

|2w+5|=5

x= -5, 0

400

Solve the equation:

-4|y+3|-12=-36

y= -9, 3

500

Depending on the size of song, Kara's phone holds an average of 4000 songs, give or take 150 songs. Write and solve an equation to determine the maximum and minimum number of songs Kara's phone can hold. 

|x-4000|=150

x= 3850, 4150

Proportions & Formulas

100

Solve the proportion:

7/15=42/n

n=90

200

Solve the proportion. Round your answer to the nearest hundredth.

(5d+1)/7=(6d-5)/15

d=-1.52

300

Carla traveled 320 miles in 5 hours. At this rate, how far will Carla travel in 7 hours? 

448 miles

400

Solve the equation for t:

10s+6t=rt+12s

t=(2s)/(6-r)

500

Sang buys hats and t-shirts for his friends while on vacation. The total cost C in dollars of buying h hats and t t-shirts is C = 10h+15t. 

Solve the equation for h. Find how many hats he can buy if he buys 4 t-shirts and can spend $120. 

h=(C-15t)/10

6 hats