Algebra 1 - Solving equations

Solve the equation for x: 7x - 10 = 67

This is an example of a literal equation: 12a + c = b

Solve the equation for x: 6x - 5 = 2(3x + 4)

The sum of three consecutive integers is 84. What are the three integers?

This equation is an identity: t - 27 = -(27-t)

An identity does NOT have infinitely many solutions.

If the perimeter of a garden is 144 inches and the length is 40 inches, what is the width of the frame? Remember the perimeter formula: P = 2L + 2W

Literal equations have only one variable.

Solve the equation for m: 12n - 40 = 4m - 24

Five friends use an online coupon to get $20 off each concert ticket. They spent $400 for all the tickets. What was the original price of one ticket before the discount?

What expression represents three consecutive even integers?

Solve the equation for z: -2(2z + 1) = 26

Solve the equation for y: 6y - 30 = -6 +2y

Tonya's first step in solving the equation 1/2 (2y+4) = - 6 is to use the distributive property on the left side of the equation. Deon's first step is to multiply each side by 2. Which of these methods will result in an equivalent equation?

Solve the equation for s: 0.89s + 12 = 0.95s

If an equation is true for all values of the variable, then it has

A mathematical sentence that states two quantities are equal is called a(n)

Fill in the blank to form an identity: ______ + 14n = 14n + 16

Which of the following is an equation?

If there is no value of x that makes the equation true, the equation has