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WorksheetsEquations and inequalities review
Total questions: 9
Worksheet time: 25mins
Renting movies from DirectV costs $5 per movie plus a monthly fee of $15.00. DishTV charges $7 per movie and no monthly fee. The monthly cost to rent movies depends on the number of movies, m, rented. Which inequality represents the situation when the monthly cost at DirectV is less than the monthly cost at DishTV?
7m+15 > 5m
7m + 10<5m
5m +15 < 7m
5m -15 > 7m
What value of x makes this equation true?
0.5x + 2 = 0.8x - 7
x= 0.3
x =21
x = 3
x = 9
The model represents an equation.
Write the equation.
3 + 2x = -1+6x
3 + 2x = 6- x
30x + 2 = -6x +1
3x + 2 = x - 6
Solve the equation from the model.
x = (a)
Zadie has $80 and she saves $6 of her allowance each week. Sanaa has $145 and she spends $7 each week. How long will it be when Zadie has the same amount of money as Sanaa? Write an equation for this situation.
4x + 2 = 4.5x
80x + 6 =145x -7
80 + 6x = 145 - 7x
Zadie is never going to save money and Sanaa will spend way more than $7 a week!
Solve for x
80 + 6x = 145 - 7x
(a)
Elsik High School's enrollment decreases at an average rate of 55 students per year, while Hastings High School's enrollment increases at an average rate of 70 students per year. Elsik has 2176 students and Hastings has 1866 students. If enrollments continue to change at the same rate, when will the two schools have the same number of students? Write an equation to solve this problem.
55x + 1866 = 70x - 7176
1866 + 70x = 2176 + 55x
2176 - 55x = 1866 + 70x
2176 +1866= 55x + 70x
5x + 24 = 9x -17
Solve for x
x = 1.75
x = 13.2
x = 0
x = 10.25
Dean has already saved $120 towards a vacation. He earns $10 an hour working as a cashier. Alfredo has already saved $200 towards his vacation and earns $8 an hour as a waiter. When will Dean have more than Alfredo? Write the inequality.
8x + 120= 10x +200
10x -120> 8x+ 200
120 +10x > 200 + 8x
130x> 208x
