PreAlgebra/Algebra Name:_______________________Semester One Final Review – Part One Date:___________ Hour:________

Final Review: Part OnePlease complete every problem on this review. Even though there are answers available, don’t just copy answers to a problem you get wrong. Make sure you know how to complete a problem that you did wrong.

SC1: I can substitute in an expression and simplify. I can find the perimeter and area of a figure.SC2: I can write an exponent as a set of products. I can substitute in expressions with exponents. I can find the area and volume of figures using formulas.1. Evaluate the expression x3−3 y3+8 when x = 2 and y = -2.

2. Evaluate the expression x2−3 y2+8 when x = 3 and y = -3.

SC4: I know the order of operations. I can simplify problems using order of operations.

3. Simplify 13−5∗28∗(42−7)

4. Simplify 15−6∗28∗(32−6)

SC7: I can determine what words mean what operations and symbols. I can write a phrase as an expression or equation. I can write equations or inequalities to go with a real life application.5. Write an inequality for ‘the difference of seven and a number is less than twelve.’

SC8: I can identify like terms. I can combine like terms. I can use the distributive property to simplify expressions.6. Simplify 3x + 3 – 4x + 1

7. Simplify 2x + 7 + 5x – 3

8. Apply the distributive property and simplify: 3 y2− y (4 y+8 )+2 y.

9. Apply the distributive property and simplify: 5 y2− y (2 y−7 )+2 y

SC12: I can solve equations with more than one step.10. Solve the equation for x: 3 x−2+6=12−5 x

11. Solve the equation 5x – 2 + 7 = 25 – 5x.

12. Solve the equation for x: 4x – 5(x + 2) = 5(6 – x)

SC13: I can solve equations with absolute values and more than one step.13. Solve the equation for x. |x|=16

14. Solve the equation for x. |x+9|=14

15. Solve the equation for x. |x|=−8

SC14: can rearrange an equation for a different variable. I can use a rearranged equation to solve a real life problem.16. Using the formula for the volume of a rectangular prism, v = abh, solve for h.

17. Solve for y: 4x + 3y = 10

18. Solve the given equation for d: d+4a

=14

19. Solve for y: 7x + 3y = 21

SC17: I can give an ordered pair to represent the location of a point. I can determine what quadrant a point lies in. I can determine if a point is a solution to an equation. I can plot a point.20. What are the coordinates of

points C, D & B?

21. Plot the points A and B on the graph provided. A (-2, 4) B (2, -4)

SC19: I can find the slope from a graph using rise over run. I can find the slope between two points. I can find the slope from a table.22. Find the slope of the line through the points (7, 4) and (-2, 4)

SC20: I can determine if lines are parallel or perpendicular based on their slope. I can determine if vertical or horizontal lines are parallel or perpendicular.

23. Are the lines y=2x−3 and y=−12x−3 parallel, perpendicular, or neither?

24. Are the lines y = -4x + 1 and y = -4x – 3 parallel, perpendicular, or neither?

SC21: I can determine the y-intercept of a line looking at the equation. I can find the slope, y-intercept and x-intercept looking at a graph. I can graph an equation with the slope and y-intercept. I can graph a real world situation using the slope and y-intercept.25. What is the x-intercept of the line shown?

26. What is the x-intercept of the line 9x + 4y = 18?

27. Graph the line x = -4

SC22: I can find the x and y-intercepts from an equation and plot the points on a graph. I can write an equation in standard form from a story problem.28. What is the x-intercept of the line 2x – 3y = 6?

29. What is the y-intercept of the line shown?

SC24: I can write an equation given different pieces of information. I can write an equation given a graph.30. A hotdog stand sells foot-long hotdogs for $2.25 and 6 inch hotdogs for $1.75. If the stand

makes $54 one day, write the equation which models the situation.

31. The temperature is increasing from early in the morning to later in the morning. Find the rate that the temperature is increasing. At 4 am it is -2 degrees and at 8 am it is 3 degrees.a. Find the rate of change between 4 am and 8 am.

b. The temperature continues to increase linearly, write an equation that represents this situation.

32. What is the equation in slope intercept form, of the line shown in the graph below?

33. What is the equation, in slope intercept form, of the line shown in the graph below?

34. What is the equation of the line shown in the graph?

PreAlgebra/Algebra Final Exam Review – Part One Answers

1. 40

2. -10

3. 1/24

4. 1/8

5. 7 – x < 12

6. –x + 4

7. 7x+ 4

8. –y2 – 6y

9. 3y2 + 9y

10. x = 1

11. x = 2

12. x = 10

13. x = 16, x = -16

14. x = 5, x = -23

15. No Solution

16. h= vab

17. y=−43x+ 10

3

18. d = 14a – 4

19. y=−73x+7

20. C (-6, -4) D(0,-3) B(-3,1)

21. See Mr. Dicken or Ms. Gerst to

check your answer.

22. Slope: 0

23. Perpendicular

24. Parallel

25. (2,0)

26. (2,0)

27. See Mr. Dicken or Ms. Gerst to

check your answer

28. (3,0)

29. (0,4)

30. 2.25 x+1.75 y=54

31. a. 1.25(5/4) degrees per hour.

y = 1.25x-7

32. y = -2x + 4

33. y = 3x + 2

34. y=2