Math review Test 2

16.Find the length of a rectangular lot with a perimeter of 140 meters if the length is 4 meters more than the width

37 Formula= P 2(l) +2 (w) P=2l+2w 140=2(w+4)+2w 140=2w+8+2w 140=4w+8 -8. -8 132=4w 4. 4 33=w 33+4=37

11. If x represents the first of three consecutive odd integers, express the sum of the three integers in terms of x

3x+6 Formula=x+(x+2)+(x+4)

20. A company increased the number of its employees from 540 to 565 What was the percent of increase in employees?

4.6% 565-540/540*100% 25/540=0.046 0.046=4.6%

22. Given the pair of triangles is similar find the missing length

44

7. 1/3x+2=1/6x+4/3

6(1/3x+2)/6(1/6x+4/3) 6x1/3x+6x2=6x1/6x+6x4/3 2x+6x2=6x1/6x+6x4/3 2x+12=x+6x4/3 2x+12=x+2x4 2x+12=x+8 2x-x=8-12 x=8-12 X=-4 Multiply both sides by 6 remove parentheses reduce multiply multiply the numbers move variable to the left side and change it's sign collect like terms then you get the answer.

13. A number subtracted form 12 amounts to the quotient of 20 and -2 Find the number

x=22 12-x=20/2 12-x=10 -12 -12 -x/-1=-22/-1 x=22 Reduce the fraction with -2 Move constant to the right side and change it's sign Calculate the difference change the signs in both sides of the equation.

8. 0.25(80)+0.60x=0.40(80+x)

x=60 20+0.6x=0.4(80+x) 20+0.6x=32+0.4x 20+0.6x-0.4x=32-20 0.6x-0.4x=32-20 0.2x=32-20 0.2x=12 0.2x/0.2=12/0.2 X=60 Multiple remove parentheses Distribute 0.4 through the parentheses move variable to the left and change it's sign Collect like terms Divide both sides of the equation by 0.2 then you get your answer.

2. (y-8)-(y-2)=5y

y=-2 y-8-y-2=5y -8-2=5y=-10=5y -(8+2)=10 -10=5y=5y-10 5y/5=-10/5 Y=-2 Remove the parentheses then eliminate the opposites and then you add the numbers swap the sides then you finally divide both sides by 5.

24. 42x+12>6(6x+3)

(1,€) 42x+ 12>36x+18 42x-36x+12>18 42x-36x>18-12 6x>6 6x/6>6/6 x>6/6 x>1 Distribute through the parentheses move terms collect the like terms Divide both sides by 6 then you get your answer.

23. -7x+6>-8x+9

(3,€) -7x+8x+6>9 -7x+8x>9-6 x>9-6 x>3 Move terms move variables to the left side and change it's sign collect like terms

21. x+6/5=x+8/7

-1 7( x+6)=5(x+8) 7x+42=5x+40 7x-5x+42=40 7x-5x=40-42 2x=40-42 2x=-2 2x/2=2/2 -2/2=-1 X=-1 Cross multiply remove parentheses move variable to the left side and change it's sign collect like terms Calculate Divide both sides of the equation by 2

1. -6(2x-7)-4x+6

-16+48 -12x+42-4x+6 -16x+42+6 -16+48 Multiply the -6 with the 2 and 7 then subtract the x together then add the even numbers together then you get your answer which is -16+48.

12. The sum of four times a number and three is the same as the difference of twice the number and eleven find the number.

-7 4x+3=2x-11 4x-2x+3=-11 4x-2x=-11-3 2x=-11-3=-(11+3) 2x=-14 2x/2=-14/2 x=-14/2 x=-7 Move variable to the left side and change it's sign collect the like terms Calculate Divide both sides of the equation by 2

14. A 10-ft board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is x feet long fine the length of both pieces

10=10 x+3x=10 4x=10-2 4x=8 X=8/4 x=2ft for the shorter piece 3x2+2=6+2=8ft for the longest piece.

19. What number is 83% of 200

166 83%*200=166 Multiply

9. 9x-8+9x+1=4x+14x-10

No solution 9x-8+9x+1=4x+14x-10 18x-8+1=4x+14x-10 18x-7=4x+14x-10 18x-7=18x-10 -7=-10 x=no solution Collect like terms Calculate the sum Cancel equal terms.

18).S= 2πrh+ 2πr2

S - 2πr2 = 2πrh S - 2πr2 = 2πrh S - 2πr2 = 2πrh S - 2πr2 = h 2πr

10. 4(x+5)=(4x+20)

The statements is true 4x+4x5 4x+20 4x+20=4x+20 Multiply parentheses by 4

6. 0.4x-0.6x-5=3

X=-40 0-2x-5=3 0.2x=3+5 0.2x=8 -0.2x/(-0.2)=8/(-0.2) Collect like terms move constant to the right side and change its sign add the numbers Divide both sides of the equation by -0.2 then you get the answer.

25. 5<2t+1<13

[2,6] 2t+1<5 2t+1<13 2t>5-1 2t>4 t>2 2t+1<13 2t<13-1 2t<12 t<6 t € [2,6] To solve a compound inequality separate or it into two inequality solve the inequality move constant to the right then change it's sign Subtract the numbers Divide both sides by 2 find the intersection.

3. 1/3a-1/3=-5

a=-14 3(1/3a-1/3)=3x(-5) 3x1/3ax-3x 1/3=-15 a-1=-15=a=-15+1 a=-14 Multiply both sides of the equation by 3 Distribute 3 through the parentheses reduce the numbers by the greatest common divisor 3 move constant to the right Calculate the sum then you get the answer.

17. A=1/2bh for b

b=2a/h A=1/2bh 2a/h= bh/2*2/h 2a/h=b b=2a/h

4. 7m-3-3(m+1)=-(7m-4)

m=10/11 7m-3-3m-3=-(7m+4) 4m-6=-7m+4 4m+7m-6=4 4m+7m=4+6 11m=4+6 11m=10m 11m/11=10m/11 Remove parentheses collect the like terms move variable to the left and change the sign collect the like term Divide both sides of the equation by 11 the you get the answer.

15. The house numbers of two adjacent homes are two consecutive even numbers of their sum is 418 find the house numbers

x= 208,210 Formula=x+(x+2)=418 x+x+2=418 2x+2=418 2x=418-2 x=416/2=208 x=208 so x+2=210 208+210=418