Simplification
Expressions
Inequalities
Linear Equations
Word Problems
100

Simplify 6(3-4x)+22

40-24x

100

Evaluate (r+s)^2 -2rs when r=1 and s=3.

10

100

Suppose x>y. In this case, must we always have 4x>4y

Yes, 4x will always be greater than 4y when x>y

100

x-12+42=289

x=259

100

7 more than twice what number equals 35

14

200

Simplify 6[18(2x-3)+11]

216x-258

200

Evaluate (r+s)^2 -2rs when r=4 and s=2.

20

200

Suppose that x>y. Which is greater, -2x or -2y?

-2x<-2y

200

8t+9=65

t=7

200

To participate in the annual sports day, Mr. Timmy would like to have nine students in each group. But fewer than 54 students are in class today, so Mr. Adams is unable to make as many full groups as he wants. How many full groups can Mr. Adams make?

Mr. Timmy can make 6 full groups.

300

Simplify 3(x+5)−2(x+3)−x+50−9

50

300

Evaluate (r+s)^2 -2rs when r=3 and s= -3.

18

300

Describe the value of y that makes 3(5-2y)>2y-9 true.

y<3

300

Solve 5t = -13.

t= -13/5

300

A florist makes a profit of $6.25 per plant. If the store wants to profit at least $418, how many plants does it need to sell?

67

400

Simplify 45 - [38 - {80 / 4 - (8 - 12 / 3) / 4}]x

26x

400

2w(-6w - 1)-5(-9 - 9w)

-12w^2+43w+45

400

My town has to cell phone providers. The provider DontTalkMuch charges $80 per month plus 1 dollar an hour. The provider TalkLots charges $20 per month plus 4 dollars per hour. How much do you have to use your phone in a month for DontTalkMuch's deal to be better for you?

You have to use your phone >20 hours a month for DontTalkMuch's deal to be better for you.

400

7x-4+3x=2x-4x-8

x=1/6

400

Six plus half of a number equals four plus one-third of the same number. What is that number?

-12

500

Simplify 125^1/3(6x+18)(625^1/2)/5

150x+450

500

Evaluate 8(h+3)+3(2h+7)-4(4h+3g)-9(3g-5h-5)

43h-39g+90

500

I have 308 football cards. Timmy has 532 football cards. Starting tomorrow, Timmy will give each of his four closest friends, including me, one football card from his collection every day. How many football cards will I have on the first day I have more cards than Timmy?

I will have 353 football cards and Timmy will 352 after 45 days.

500

2(z+3)-5(6-z)=8(3z+3)-4(1-2z)

z=44/19

500

Alex wants to save $10,000 for a car in 5 years. He already has $2,000 and plans to deposit an equal amount at the end of each year into a savings account. How much must he deposit every year to reach his goal? 

Alex should deposit $1,600 each year.

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