Download HW Solving Multi-Step Equations 2 KEY - MELT

Homework: Multi-Step Equations 2
Name _____KEY_____________________
Solve each equation. Show all your work. Be sure to check your answer in the original
equation.
1. 3x  2x  5
2. 3 y  2  2 y  4
x 5
y2
4. 5r  1  7(r  1)
5.  x  4  3x  8
r 3
x2
3.  2n  1  3(n  2)
n  1
6. 2(10  3t )  4(t  4)
t  18
Your aunt is deciding between two different babysitters. Ashley charges $18 plus an
additional $8 per hour. Mark charges $10 plus an additional $10 per hour.
7. What does Ashley charge for 2 hours?
$34
What does Ashley charge for 3 hours?
$42
8. What does Mark charge for 2 hours?
$30
What does Mark charge for 3 hours?
$40
9. Let h represent the number of hours spent babysitting.
Write an expression for the amount Ashley charges for h hours.
18+8h
Write an expression for the amount Mark charges for h hours.
10+10h
10. For how many hours of babysitting would both sitters cost the same? Use a complete
sentence for your answer. Write an equation and show your work to solve.
18  8h  10  10h
18  10  2h
8  2h
4h
The sitters would cost the same for 4 hours of babysitting.