1. Midterm Study Guide

2. Distribute the 8 to both terms in side the ( ) First combine all terms that are the same.

3. Midterm Study Guide 5) Which algebraic expression goes with the phrase: 6 less than a number n – 6 Reminder: the phrase less than means you have to switch the first & second terms places

4. Midterm Study Guide 6) A candy store sells packages of candy bars. Mark bought c candy bars for $30. What algebraic expression would show the cost of one candy bar?

5. Midterm Study Guide 7) Write an expression for the perimeter of the given figure. Then simplify the expression. x + 3 2x + 1 x + 3 x + 1 Remember: Perimeter means to add up all the sides. x + 1 x + 3 2x + 1 + 5x + 8

6. Midterm Study Guide + 9 +9 + 4 +4 - 4 -4 5· ·5 y = -4 m = 60

7. Midterm Study Guide 1 st combine like terms Then solve it like another 2-step equation. + 8 +8 6 6

8. Midterm Study Guide -2 -2 1 st multiply both sides by the denominator Then solve like another 2-step equation

9. 12) Billie Joe Bob has received scores of 80, 75, 83, 92, and 75 on math quizzes. What score must Billie Joe Bob get on her next quiz to have an average of 80? Midterm Study Guide 1 st add up all of his current quiz scores 2 nd multiply the average by 6 (6 representing the total # of quizzes taken) 3 rd find the difference between the two # Billie needs a 75% on his next quiz.

10. 13) Identify what it mean to find the absolute value. Midterm Study Guide The distance a number is from zero.

11. 14) Simplify: (3n – 2d + 5) – (6n +4d – 4) Midterm Study Guide 1 st distribute the negative 1 to all three terms 1 2 nd match up the like terms from the first group of ( ) then combine them.

12. 15) Simplify: -4(x – 3) + 5(–8 – x) Given that x = 3, evaluate the expression. Midterm Study Guide -4( 3 – 3) + 5(–8 – 3 ) 1 st substitute the 3 in for each x. Then use order of operations to solve the expression. -4( 0 ) + 5( -11 ) 0 + -55 = -55

13. 16) The perimeter of the triangle is 19 yards. Simplify the algebraic expressions to find the lengths of the sides of the triangle. Midterm Study Guide x -1x x+2 1 st add up all the sides values. x x – 1 x + 2 3x + 1 Then add on =19 & solve for the x value. 3x + 1= 19 - 1 -1 3x = 18 3 3 x = 6 After finding the value for x plug 6 in to find the side’s value. = 6 = 8 = 5

14. 17) A scuba diver is 25 feet below sea level while a seaplane is 85 feet above sea level. How far apart above the scuba diver is the seaplane? Midterm Study Guide Hint: Think of using a tape measure to find the distance of the diver and the seaplane. 25 + 85 = 110

15. 18) Chris bought a hat for $10 and five pairs of socks. The total cost was $22.75. If each pair of socks cost the same amount, how much was one pair of socks? Midterm Study Guide - 10 -10. 5 s = $2.55

16. 20) The temperature was 25 degrees Fahrenheit when Mandy awoke. The temperature dropped 4 degrees per hour. How many hours did it take for the temperature to drop to -7 degrees Fahrenheit? Midterm Study Guide - 25 -25 -4

17. Midterm Study Guide 1 st find the corresponding sides & them up in a proportion 2 nd substitute the values for each of the sides. 3 rd cross product and solve the equation.

18. 22) A building with a height of 14 m cast a shadow that is 16 m long while a taller building cast a 24 m long shadow. What is the height of the taller building? Midterm Study Guide 1 st draw each figure and set up the values in a proportion. 2 nd You can cross product or simplify the fraction (without the variable). 3 rd solve the equation.

19. 23) Point H at coordinate (1,4) is rotated counterclockwise. After the transformation what quadrant will H’ be located? Midterm Study Guide 1 st indicate where the original point is located at (general area is fine) 2 nd Turn the point to the left around origin & you will see that the point will go into Quadrant 2

20. 24) What are the coordinates of the reflection of the triangle over the x - axis? Midterm Study Guide 1 st locate the x-axis 2 nd flip the figure over the x-axis, it will land in Quadrant 2 x