Midterm Study Guide

Midterm Study Guide

1) Simplify 2) Simplify

0

Midterm Study Guide

3) Simplify

4) Simplify

Distribute the 8 to both terms in side the ( )119889+16 119889+24

iquest17119889+24

First combine all terms that are the same119897+4 119896119910+4 119897+4 119896

iquest5 119897+8119896+119910

Midterm Study Guide

5) Which algebraic expression goes with the phrase 6 less than a number

n ndash 6Reminder the phrase less than means you have to switch the first amp second terms places

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

or

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 x + 32x + 1+

5x + 8

Midterm Study Guide

8) Solve 9) Solve + 9 +916

+ 4 +4 12

- 4 -4

5 5

y = -4 m = 60

Midterm Study Guide

10) Solve 1st combine like terms6119899minus8=40Then solve it like another

2-step equation+ 8 +86119899=48

6 6119899=8

Midterm Study Guide

11) Solve

8minus2 119897=minus24

minus2 119897=minus32 -2 -2119897=16

1st multiply both sides by the denominator

Then solve like another 2-step

equation

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

1st add up all of his current quiz scores

80+75+83+92+75=405

2nd multiply the average by 6

(6 representing the total of quizzes taken)

80 ∙6=480

3rd find the difference between the two 480minus405=75

Billie needs a 75 on his next quiz

13) Identify what it mean to find the absolute value

Midterm Study Guide

The distance a number is from zero

14) Simplify (3n ndash 2d + 5) ndash (6n +4d ndash 4)

Midterm Study Guide

1st distribute the negative 1 to all three terms

1

minus6119899minus4119889+42nd match up the like terms from the first

group of ( ) then combine them

3119899minus2119889+5minus3119899minus6119889+9

The final answer is

15) Simplify -4(x ndash 3) + 5(ndash8 ndash x) Given that x = 3 evaluate the expression

Midterm Study Guide

-4(3 ndash 3) + 5(ndash8 ndash 3)

1st substitute the 3 in for each x Then use order of operations to solve the expression

-4(0) + 5(-11)0 + -

55= -55

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 -1 x

x+2

1st add up all the sides

valuesxx ndash 1 x + 2

3x + 1

Then add on =19 amp 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 sidersquos value

= 6

= 8

= 5

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

18) Chris bought a hat for $10 and five pairs of socks The total cost was $2275 If each pair of socks cost the same amount how much was one pair of socks

Midterm Study Guide

10+5 119904=2275- 10 -10

5 119904=12755 5s = $255

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

25minus4 h=minus7- 25 -25 minus4 h=minus32

-4 -4h=8

21) find the unknown length

Midterm Study Guide

119861119862119864119865=

119860119862119863119865

1st find the corresponding sides amp them up in a proportion

1199094=

123

2nd substitute the values for each of the sides

3 119909=48 3rd cross product and solve the equation

119961=120783120788 119946119951

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

1416=

11990924

1st draw each figure and set up the values in a proportion

78=

11990924

2nd You can cross product or simplify the fraction (without the variable)

119961=1207841207831199508 119909=168 3rd solve the

equation

23) Point H at coordinate (14) is rotated counterclockwise After the transformation what quadrant will Hrsquo be located

Midterm Study Guide

1st indicate where the original point is located at (general area is fine)

2nd Turn the point to the left around origin amp you will see that the point will go into Quadrant 2

24) What are the coordinates of the reflection of the triangle over the x - axis

Midterm Study Guide

1st locate the x-axis2nd flip the figure over the x-axis it will land in Quadrant 2

x