You MUST Show ALL Work to Receive Credit

Name______1st Six Weeks DCA Review Algebra 1

Date______Period______

You MUST show ALL work to receive credit.

1. Simplify the expression.

2. Simplify the expression .

3. Use the expression to answer the following questions.

How many variables are in the expression? What are the variables?

What is the coefficient of x?

What is the coefficient of y?

What is the constant?

How many terms are in the expression?

4. Write the equation modeled with the Algebra Tiles?

5. What is the first step you would do to solve this equation?

6. Kelly solved the equation shown below. Where did she make her first mistake and what was her mistake?

Given:

Step 1:

Step 2:

Step 3:

Step 4:

7. Solve 9m – 15 = 4m – 12

8. Solve

9. Solve

10. Solve

11. Write and solve an equation to find the value of x in the triangle below. Then find the measure of all the angles.

12. Find the measure of .

13. Compare the values of x in Column A and Column B. Which statement is true?

Column A Column B

A The value of x in Column A is greater.

B The value of x in Column B is greater.

C The values of x are equal.

D The relationship cannot be determined

from the information given.

14. The Klein Oak Strutters are baking and selling cookies. The ingredients and supplies cost $227. The Strutters sold 984 cookies and made a profit of $1,003. If x represents the price of each cookie sold, write an equation could be used to find x. Then solve for x.

15. The side length of an equilateral triangle is represented by. If the perimeter of the triangle is 69 cm, find the value of x.

16. The lengths of the rectangle is represented by 3x+6 and the width is represented by 2x – 1. The perimeter of the rectangle is 60 inches what are the dimensions of the rectangle?

17. A new pool is being filled with water. The water increases 0.25 feet every hour. How many hours will it take to fill a pool to a depth of 10 feet?

18. Solve for b.

19. Solve for y.

20. The temperature at the North Pole is no more than and no less than . Write a compound inequality that represents the temperature at the North Pole.

21. Solve the inequality 3y+3 – 2y > -1 and graph the solutions.

22. Which value of x is in the solution set of the inequality ?

A -5

B -4

C -3

D -2

Solve and Graph.

23.

24.

25. Melissa wants to spend no more than $120 on school clothes. She wants to buy some sweaters that are on special for $30 each. Write an inequality that could be used to find the number of sweater, x, Melissa can buy.

Then solve.

26. For her cellular phone service, Vera pays $32 a month, plus $0.75 for each minute she talks on the phone. She also pays $12 a month for unlimited texting. Vera’s budgets at most $128.75 for her cell phone service each month. What is the maximum number of minutes she can talk each month?