Solving Equations
Solve for x:
2x = 10
x = 5
What is 33?
27
What is a solution for x < 0?
Oceanside Bike Rental Shop charges 18 dollars plus 7 dollars an hour for renting a bike. Mary paid 46 dollars to rent a bike. How many hours did she pay to have the bike checked out?
4 hours
Put this polynomial in standard form and state its degree:
x4 + 2x6 + 3x
2x6 + x4 + 3x, degree of 6
Solve for x:
15x = 8
x = 8/15
What is 150?
1
What is a solution for x + 4 > 20?
Answers may vary (any real number greater than 16 will be accepted)
On Monday, 405 students went on a trip to the zoo. All 9 buses were filled and 9 students had to travel in cars. How many students were on each bus?
44 students
Put this polynomial in standard form and state its degree:
5y8 + 15y3 + y10
y10 + 5y8 + 15y3, degree of 10
Solve for x:
5x + 2 = 17
x = 3
What is 12-1?
1/12
Simplify 3x - 2 > 7.
x > 3
Keith had seventy-one dollars to spend on six books. After buying them he had eleven dollars. How much did each book cost?
10 dollars
Factor 15x + 30.
15(x + 2)
Solve for x:
-3x - 7 = 17
x = -8
What is x3 * x-1?
x2
Simplify -2x < 8.
x > -4
Dan spent half of his allowance going to the movies. He washed the family car and earned eight dollars. What is his weekly allowance if he ended with sixteen dollars?
16 dollars
Factor 7y3 + y.
y(7y2 + 1)
Solve for x:
-2x + 5 = -3x -2
x = -7
What is 2m4 * 4m-2?
8m2
Simplify -4x -3 < 13 and give a solution for the inequality.
x > -4, answers may vary (any real number greater than -4 will be accepted).
The sum of three consecutive numbers is 126. What is the smallest of the three numbers?
(Hint: set your variables to equal each number!)
41
Factor 16y4 + 12y2.
4y2(4y2 + 3)