Real-World Problems
Equations
Inequalities
Simplify Formulas
100

A rectangle has a length of (7x + 11) feet and a width of 7 feet.  A triangle has a base of 10 feet and a height of (8x + 35) feet. the area in square feet of the rectangle is equal to the area in square feet of the triangle.  What is the equation you need to solve?

What is the solution to:


7(7x + 11) = 5(8x + 35)

100

Which value of m makes the equation true?

8m + 7 ─ 6m + 8 = ─18 + 4m + 9 ─ 5m

What is...


m = -8

100

What is the solution set for the inequality

3y ─ 9 > 2y + 17

What is 

y > 26

100

What equation is equivalent to S = Ph + 2B when solved for P?


 

What is

P = (S - 2B)/h

200

A rectangle has a length of (7x + 11) feet and a width of 7 feet.  A triangle has a base of 10 feet and a height of (8x + 5) feet. The area in square feet of the rectangle is equal to the area in square feet of the triangle.  What is the solution?

7(7x+3) = 5(8x + 5)

What is the solution for ...


x = 4/9

200

Which value of x makes the equation true?

3x ─ 4(x ─ 9) = 4x ─ 9




What is...

x = 9

200

Which of these values are part of the solution set for the inequality?

50 + 15w ≥ 100 + 5w

What are all numbers w ≥ 5

200

What equation is equivalent to S = Ph + 2B when solved for B?

What is

B = (S - Ph)/2

300

Container A contains 15 gallons of water. Edgar will begin filling Container A at a rate of 2 gallons per

minute.

Container B contains 72 gallons of water. Diego will begin draining Container B at a rate of 1 gallons per

minute.

After how many minutes will Container A and Container B have the same amount of water?

What is...

15 + 2m = 72 - m

3m = 57

m = 19

300

What value of x makes the equation true?

1/2(6x – 14) = 2 – 4(3x ─ 4)

What is x = 5/3

300

What is the solution set?

3(10 ─ 4x) ≥ ─2x + 45

What is 

x ≤ -3/2

300

Which equation is equivalent to 4x + 5y = 20?

y = -5/4x + 4

y = -4/5x + 4

y = 5/4x + 20

y = 4/5x + 20


What is

y = - 4/5x + 4