1. Use the algebra tiles to help you solve the equation 4 x plus 5 equals 13 .
2. Use the algebra tiles to help you solve the equation 3 x minus 5 equals 7 .
3. Complete the steps to solve the equation − negative 15 x minus 14 equals negative 89 .
4. Complete each step to solve the equation 6 x plus 16 equals 58 .
a. Apply the Subtraction Property of Equality.
b. Apply the Division Property of Equality.
5. Solve the equation 7 x minus 7 equals 56 .
6. When three times a number is decreased by 4, the result is 14.
a. Write an equation that you can use to find the number. Let n represent the number.
b. What is the number?
7. Multiple Representations Three times a number, added to 4, is 40.
a. Write an equation that you can use to find the number. Let n represent the number.
A. 4 minus 3 n equals 40
B. 3 n minus 4 equals 40
C. 4 n plus 3 equals 40
D. 4 plus 3 n equals 40
b. What is the number?
c. Draw a model of the equation.
8. In 2000, the number of federal hazardous waste sites in State X was 8 less than twice the number of sites in State Y. Suppose there were 34 such sites in State X. Write and solve an equation that represents the number of hazardous waste sites, n, there were in State Y.
9.
a. Writing Solve the equation 3 x plus 2 equals 17 using algebra tiles.
b. Describe a real world situation that could be modeled with the given equation and algebra tiles.
10.
a. Reasoning Solve the equation 8 x plus 2 equals 26 .
b. How is solving a two-step equation similar to solving a one-step equation?
11. Think About the Process Use the algebra tiles to help you solve the equation 4 x minus 12 equals 16 .
a. What is the first step in solving the equation using algebra tiles?
A. Divide each side of the model by 4.
B. Add twelve + 1 tiles to each side of the model.
C. Add twelve − 1 tiles from each side of the model.
D. Multiply each side of the model by 4.
b. The solution is .