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A+
100
-15=-5e
e=3
100
9=3-2x
x=-3
100
2+x/2=-1
x=-6
100
-2x-2=2
x=-2
100
4=x/-4+1
x=-12
200
-2+3x=2x+5
x=7
200
1-x/4=-6-2x
x=-4
200
Solve the equation and verify. What did both side equal to when verifying?
2x-11=4-3x
-5=-5
200
Solve the equation and verify. What did both side equal to when verifying?
5-x/2=14+x
8=8
200
Solve the equation and verify. What did both side equal to when verifying?
-6x-8/2=6-x
8=8
300
-48=4(-5x+3)
x=3
300
-26=-6x+2(x+3)
x=8
300
Solve the equation and verify. What did both side equal to when verifying?
-4(-5x-3)=92
x=4
300
Solve the equation and verify. What did both side equal to when verifying?
-2x+3(x-3)=-20
-20=-20
300
Solve the equation and verify. What did both side equal to when verifying?
2(4x+4)-48=81+3(-5x-2)
0=0
400
When verifying this problem, what fraction do you get?
b/9=10/3
10/3=10/3
400
When verifying this problem, what fraction do you get?
a/(a-10)=6/9
2/3=2/3
400
When verifying this problem, what fraction do you get?
6/v=8/(v+4)
1/2=1/2
400
When verifying this problem, what do you get?
x/5=(x+4)/7
2=2
400
When verifying this problem, what do you get?
(p+9)/10=(p-10)/9
19=19
500
The trapezoid below has side lengths 2.5 cm and 4.3 cm, and perimeter 13.6 cm. Write an equation that can be used to determine the lengths of the remaining sides. Solve and verify the solution.
x=3.4cm
P=2.5+4.3+2x
13.6=2.5+4.3+2x
500
A rectangle has length 3.7cm and perimeter 13.2cm.
Write an equation that can be used to determine the width of the rectangle. Solve and verify.
Width would be 2.9 cm.
P=2l+2w
13.2=2(3.7)+2w
500
Skateboards can be rented from two shops in a park:
Shop Y charges $15 plus $3 per hour
Shop Z charges $12 plus $4 per hour
Determine the time in hours for which the rental charges in both shops are equal. Solve and verify!
It would take 3 hours for the two shops to charge the same price.
15+3h=12+4h
500
A taxi company charges customers a flat rate of $2.50 plus 1.25 per kilometer. If the taxi driver told you owed $41, how many miles did he take you? Create an equation, solve and verify.
He took me 30.8 km.
c=2.50+1.25k
41=2.50+1.25k
500
A cell phone company offers two different plans.
Plan A: Monthly fee of $30, plus $0.32 per minute
Plan B: Monthly fee of $24, plus $0.40 per minute
Write an equation to determine the time in minutes that results in the same monthly cost for both plans. Solve and verify.
It will take 75 minutes for the two plans to have the same cost.
30+0.32m=24+0.40m