Solve equations
4-6x=8
x = -2/3
6<=1-5x
x<=-1
The sum of the page numbers of two facing pages in a book is 145. Write an equation and solve.
x + (x+1) = 145
72,73
The perimeter of a square is at most 48 centimeters. Find the largest possible area of the square. Write an inequality and solution set.
4x<=48
x<=12
144
2x + 2(x-3)=54
x=15
-6.9<8.1-1.5x
x<10
The width of a rectangular wall panel is 3 feet shorter than its length. The perimeter of the panel is 54 feet. Write an equation to solve for the length.
2x+2(x-3)=54
The coach of the field hockey team can spend at most $475 on new team uniforms. The coach will order the uniforms online and pay shipping once that costs $6.50. If each uniform costs $29, how many uniforms can the coach order? Write an equation and solve
29x+$6.50<=$475
16 uniforms
3-3.6x=4.2
x=-1/3
3(x+1)-5x>7
x<-2
Mrs. Paul is making her summer plans to visit Florida. She has a budget of $2,660. She plans to spend $80 less than three times the airfare on hotel fees. How much was her airfare? Write an equation and solve.
x+(3x-80)=$2660
x= $685
Ms. Clark rented a booth at a carnival at a cost of $50 to sell handmade terrariums. The cost of making each terrarium was $12. She sold them at a price of $25 each. How many terrariums must she sell to make a profit of at least $500?
(25-12)x-50>=500
x>=42 4/13
15y-4(2y-3)=-2
y=-2
The difference between two positive numbers is 9.5. The sum of the two numbers is more than or equal to 18. Find the smallest possible value of the greater number. .
x+x+9.5>=18
x>=4.25 (small number)
smallest possible value of the greater number is 4.25+9.5= 13.75
Mr. Young is three times older than his daughter, Mya. In 7 years’ time, his daughter will be of his 2/5 of his age. How old is Mr. Young now?
2/5(x+7)=x/3+7
63 years old now
Stephanie needs to score at least 85 marks out of 100 marks in Mathematics to enter her preferred high school. Her Mathematics grade is based on the average of her scores across 6 examinations. For her first four examinations, her scores are 81, 85, 73, and 70. Explain if it is still possible for her to enter her preferred school.
x+81+85+73+70>=510
x>=201
Not possible to score over 100
0.4(x+0.7)-0.6x=-4.2
x=22.4
3/4(8q+3)>=9.45-1.2q
q>=1
Ms. Thomas sold ears of corn for $2 each and hotdogs for $3.50 each. She earned $430 selling ears of corn and hotdogs. She sold 50 more ears of corn than hotdogs. How many ears of corn and hotdogs did she sell altogether?
2(x+50)+3.5 * x=430
She sold 170 altogether
Ella is playing a computer game. She needs to score ore than an average of 80 points for 4 game sin order for her to win the game. She has scored 91 points, 75 points, and 77 points in her first three games. How many points must Ella score in her last game? Write an inequality and solution set graphed on a number line.
(99+75+77+x)/4 >80
x>77