FINAL EXAM REVIEW - Algebra I

Arithmetic

1. Simplify Expressions - What is the value of 20(2)+5/2?
2. Evaluate Expressions - What is the value of (X^2 + T^2) / 3Z + 5 if X=2, T=1, and C = 10?
3. Simplify Expressions - What is the simplest form of -2(2X + 6Y) + 5Y^2 + 3(Y^2 + X)?
4. Solving Equations

5. Solve Equations - What is the solution to the equation -4(X-6) = 5(2X + 4)?
6. Literal Equations - Solve for X in this literal equation: aX + 4 = b

Word Problems and Writing Equations

• Use the 4-corner design recipe
• Determine the dependent and independent variables
• Use table patterns used to write equations to solve word problems.
1. The perimeter of a rectangle is 80 feet. The length is 4 times the width. What is the width?
2. If you charge \$6 an hour for cleaning, which ray on the graph best represents the earnings after T hours?
3. What is an equation that would determine the number of balls in the Nth term?
4. What is the mean, median and mode and which would be used?
5. Graphs

6. What quadrant contains the point (1, 1), (-2,2) (-3,-3) (4, -4)?
7. What ordered pair located point A?
8. Which table of data best represents the points on the line?
9. Which linear function best describes the graph shown?

Slope and Y-intercept

• Use table to find pattern to determine the slope.
1. What describes the effect on a graph of F(X) = 10X + 5 if the Y-intercept is changed to -6?
2. What is the slope of a line passing through (2,8) and (5,10)?
3. What is the slope of the line pictured?
4. Linear Equations

5. Which ordered pair is the solution for the equation y = 5X + 3?
6. What is the equation in slope-intercept form for the line through the points (4, -6) and (7,-10)?
7. Which is the correct equation in slope-intercept form for the line graphed?
8. What is the graph of the line 6X - 4Y = 8?
9. Which line is parallel to 3X - 2Y = 6?
10. Which of the following is the slope-intercept form of the equation 5Y - 10X = 15?
11. What are the slope and Y-intercept of the graph of Y = -4X + 3?
12. Which of the following is an equation of a line through (4,6) with a slope of 3/4?
13. Domain and Range

14. What is the domain and range for the function in the graph?
• Hint: Draw and look at the end points. (line (make-posn -3, 2)(make-posn 7, -4)
15. Given this domain {-3, 0} what is range for the function: f(X) = X^2 -5?
• Hint: Evaluate X^2 - 5 with -3 and 0, the range will be the answers.

Transformations

1. The trapezoid in the graph is to be dilated by a scale factor of 1/2, which graph shows this transformation?
2. The rectangle is the graph below will be dilated by a scale factor of 3, which graph shows this dilation?
3. The graph shows 2 triangles. Which statement is true when transforming the triangles?
4. What type of transformation was preformed on the trapezoid, Reflection, Dilation, or Translation?
5. A triangle undergoes a reflection across the Y-axis. Which is the new image figure?
6. After a translation of 5 units left and 4 units down, what are the new coordinates of each vertex?

Summary

 Total Multiple Choice 50 Free Response Arithmetic 8 Slope 4 Graph -3X + Y = 8 Solving Equations 7 Linear Equations 9 Graph -2/3 X + 9 = Y Word Problems 10 Domain & Range 2 Draw right triangle & give slope, equation of sides Graphs 4 Transformations 6 3 word problems