ALGEBRA II Solving Equations
What is the value of y in the equation 4y - 2(1 - y) = -44?
-7
In a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third angle is four times the measure of the second angle. If the total number of degrees in a triangle is 180, what is the measure of the largest angle?
104 degrees
When 122 is decreased by five times a number, the result is equal to the number increased by 20. What is the number?
17
A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. What is the length of the longest piece?
27 feet
Sandra makes and sells bracelets. It costs her $2 to make each bracelet, plus a one-time cost of $15 for supplies. She plans to sell each bracelet for $5. Let x represent the number of bracelets. Which equation can be used to find the number of bracelets she needs to sell to break even?
2x+15=5x
The sum of three consecutive even integers is 108. What is the largest number?
38
Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for x?
3x+4=5x
An isosceles triangle has two sides of equal length. The third side is 6 less than twice the length of one of the other sides. If the perimeter of the triangle is 45 cm. Which equation can be used to solve for x?
3x-6=45
Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the problem?
5x - 9 = 2x + 23
What is the value of x in the equation 6(x + 1) - 5x = 8 + 2(x - 1)?
7/4
The sum of three numbers is 45. The second of the three numbers is three more than twice the first number, x. The third number is two more than the first number, x. Which equation can be used to solve for the first number, x?
x + (2x+3) + (x+2) =45
What is the solution to the equation 6y -2(y + 1) = 3(y - 2) + 6?
y=2
