Solving Equations

The sum of three numbers is 131. The second of three numbers is seven more than twice the first. The third number is 12 less than the first. What equation can be used to solve the problem?

C x+(2X+7)+(x-12)=131

What is the value of x in the equation 2x - 3 = 9 - 4x?

D 2

What is the solution to the equation 6y -2(y + 1) = 3(y - 2) + 6?

C y=2

What is the value of x in the equation 6(x + 1) - 5x = 8 + 2(x - 1)?

A 0

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?

B 3x+4=5x

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?

B 5x - 9 = 2x + 23

Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have?

B 11

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?

B 3x+4=5x

What is the value of x in the equation 0.2(x + 1) + 0.5x = -0.3(x - 4)?

C 1

Which equation is equivalent to 3[x + 3(4x - 5)] = 15x - 24?

C 39x - 45 = 15x - 24

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?

C 104

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?

C 2x+15=5x

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?

C. x+(2x+3)+(x+2)=45

What is the solution to the equation x/3+x/6=7/2

D x=7

What is the value of y in the equation 4y - 2(1 - y) = -44?

D -7

A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer piece of rope?

D 44 feet

What is the solution to the equation 1/3(x-2)=1/5(x+4)+2

D x=26

The sum of three consecutive even integers is 108. What is the largest number?

D 38