Name:_______________________________________________Date:_____________
8MA BOOTCAMP LEVEL 6
formative
WRITE and SOLVE an equation for each problem below.
1.
Speedy Gonzales challenges Cousin Slow Poke to a race. Speedy gives his
cousin a head start of 100 feet. Cousin Slow Poke travels 9.75 feet in 3.25
minutes. Speedy travels 51 feet in 17 minutes. When will Speedy Gonzales
pass Cousin Slow Poke to win the race?
2.
Fred and Velma are arguing about who solves more mysteries. Shaggy, keeper
of Scooby Snacks, but also of mystery solving data says, “Fred has solved 32
mysteries in 48 days. Velma has solved 54 mysteries in 81 days.” At this rate,
after how many days will they have the same number of mysteries solved?
3.
Chatty Cathy is considering two cell phone plans. Gabby-tel charges $120 for a
phone and $30 each month. Yap Yap Mobile charges $40 for a phone and $45
each month. Assuming service and quality is equal otherwise, when are the
charges the same?
4.
For which values of P and Q does the following equation have infinitely many
solutions?
Px  12  Qx  12
Select all that apply.
 P  12 and Q  12
 P  0 and Q  0
 P  15 and Q  15
5.
 P  88 and Q  88
 P  54 and Q  54
 P  91 and Q  91
Which values of P and Q result in an equation with no solutions?
Qx  11  18 x  P
Select all that apply.
1
and P  11
18
 Q  18 and P 18
 Q
 Q  50 and P  40
 Q  11 and P  11
6.
For each set of values for P and Q , determine if the values yield one, none, or
infinitely many solutions.
Px  20  Qx  20

P  7 and Q  7

P  7 and Q 
1
7


P  7 and Q  7
P  12 and Q  12
Determine the number of solutions for each equation.
7.
5  2  4 x   2x  13  2x  5  4 x
8.
1

5  x  3   4  3  2 x   8  x  1  x  6
2

9.
3
10.
115  5 x 2  6
11.
Write and solve an equation, using the distributive property and combining like
terms on both sides of the equal sign, which has one solution.
12.
Write and solve an equation, using the distributive property and combining like
terms on both sides of the equal sign, which has no solution.
13.
Write and solve an equation, using the distributive property and combining like
terms on both sides of the equal sign, which has infinitely many solutions.
14.
Write and solve an equation that has two solutions.
15.
Complete the equation so that it has no solutions.
x   2  3 x   8  ____x  ____
16.
Complete the equation so that it has infinitely many solutions.
3  4  5 x   6 x  ____x  ____
3x
2
4 9 x
5
9