Math

Solve For x

100

2x+10=5+3x

x=5

200

9x-7=-5x+35

x=3

300

3y+5x+3²=5y+20

y=2

x=3

400

3/2x-2=13/4x-9

x=4

500

3(x-⅔)=3/4x +2¼

answer as a mixed fraction

x=1 8/9 

Exponents

100

Evaluate this expression (-3)^3

-27

200

20^4×20^-5

0.05

1/20

300

(5/7)^5 × (5/7)^–6

7/5

400

simplify: 

2x⁴y⁻¹/x⁻⁶y³

2x¹⁰y⁴

500

simplify:

(3x²y³)⁴/(2x³y²)³

81y⁶/8x

Substitution

100

y-6x=5

2y+2x=80

x=5

y=35

200

y=6x−11

−2x−3y=−7

x=2

y=1

300

x+y=20

4000x+7000y=95000

y=5

x=15

400

-3x+3y=4

-x+y=3

no solution

500

x−y=z

3z+4y=2x+8

y+2z=2−x

x=5/2

y=11/2

z=-3

Inequalities

100

√231 ? 15.2

<,+,>

<

200

x/2+1=5

solve for x

x=8

300

5x-8≥32

Find the smallest integer that satisfies each inequalties below

x>8

400

2(2x-9)≥22

x>10

500

18x+8>14x+30

Find the smallest value of x that satisfies each inequality below

x>11/2

word problems

100

James sold twice as much cups of lemonade in the afternoon than in the morning. If he sold 360 cups of lemonade that day, how many cups did he sell in the morning and how many in the afternoon?

120 in the morning

240 in the afternoon

200

Micheal scores 95, 87, 85, 93, and a 94 in the past 5 math tests, what does he have to score if he wants a 90 point average?

86

300

A bookstore sells novels for $12 each and magazines for $3 each. If Mia bought 7 items in total and spent $48, write a system of equations to model this situation and find out how many novels and magazines she bought.

3 novels

4 magazines

400

A company sells pens for $3 each and notebooks for $5 each. In one week, they sold 120 items for a total of $420. How many pens and how many notebooks did the company sell?

90 pens

30 notebooks

500

A car travels 60 miles in 1 hour and 20 minutes. If the car maintains the same speed for the entire trip, how long will it take to travel 195 miles?

4 hours 20 minutes