Math B Unit l- Data
Streneth of Passins Students
Errors of Non-Passing Students
Teacher Reflection:
Action PIan
Overall:
EL
RFEP
SPED
Focus
Student
>q
Math B: Unit
l
5. Select the best solution to the given
Test Form A
equation.
l0-2x-42
Direction: Read aII questions and
show all work to receive credit.
Cluster 1: Solving Equations (EE7)
7.
Solve:
!20=x*64
a. x:54
c. x: -54
a.x--L6
c.x-26
b. x
d. x
-
56
LB4
2. Select the solution that best
represents this problem.
- -34
- -14
b.
d.
2x*x*8-21
r:34
r:'l.,4
7. Which of the following is the
simplest version of:
71+ 4(x * 3) - 1s
3. Solve:
!--!s
6
a.a--90
c.a--27
d..x-5.2
Cluster 2: Solving Multi-Step
Equations (EE7)
6. Solve:
-10 + r: -24
a. r
c. r
b.x---26
b.a-90
d.a:-9
4. Solve the following equation:
4x-2:B
:1-0
:
c. 15x*3 10
a. 4x
*
L4
b. 4x + 23 -- 70
d. L5x*45 : 10
b0
B. Error Analysis:
6-2(x*4)-32
4(x+4)=32
4x*76=32
4x -16
x= 4
Identiff if there is an error in the
problem. If there is, explain. (1 point)
10. Mrs. Nino wanted to take all the Btt
graders to Six Flags Magic Mountain,
which will cost a total of $3,300. She
opens a savings account and deposits
$900 and wants to add $400 to that
savings account every month. About
how many months will it take her to
save up the amount needed to pay for
the trip for the entire Be grade class?
Work:
If incorrect provide the correct work
and solution to the given problem.
(2 points- correct work, 1 point-correct
solution)
a. 5 months
c. 6 months
Work:
b. 7 months
d. 4 months
Cluster 3: Solving Equations with
Variables on Both Sides (EE7)
11. Solve the following equation.
!4x-3-5x*15
9. Find the correct solution to the
given problem?
1x
5
- 2:3
x: -2
4
c.X:a.
3
b. x--Z
d.
x: --43
bl
12. Select the best answer for the given
equation:
4y-B+2y-3y+16
14. Which of these is a correct
statement? Select all that applies.
a. 5x
* 4 - -x *
- 2solution.
b. x
c.4x
!5x+
Z2,hasno solutions.
B
-
9r, has one
+5+Bx:25*2x,has
infi nitely many solutions
a.!=-24
c.y=3
b.y-B
d.!=24
13. Prove that the following p.oblurn
has infinitely many solutions. Provide
evidence with work and justiffyour
d. 9 + 3x - 7: 10
many solutions.
*
3x, has infinitely
answer.
Work [2 points)
9(x+2)=3(3x+6)
15. Write an equation that will have no
solutions to the given problem. Justify
your answer.
Equation: (2 points)
3(x-4)+2xJustify: (2 points)
Justification: (2 points)
How do you know your answer is
correct?
z)-
16. Extra Credit (Cluster 3):
17. Extra Credit (Cluster 2):
Which of the following equation/s will
have infinitely many solutions as an
answer? Select all that applies.
Use the problem below to answer the
a.
4x-2=3x-2*x
following questions.
George needs $200 for a new phone.
George has $35 saved and he gets $5
per week from his mom and $10 per
week from his dad for allowance.
I.
Choose the equation that would best
represents the given scenario. [1
pointJ
b.
2(3x+5):6x-t0
a. 200+35-10x*5x
b. 70x*35-5x+200
c. 10 + 5 *35x -200
d. 5x*70x*35=200
II. Using the equation you chose, how
long would it take until George can buy
points)
a new phone? (3
5x*4-7x-2
d.
4x*B-4(x+2)
33
Bth
Grade Honors Unit 1 Exam
Solve each equation.
1)
-7m*20 --l7m-10
A)1
c) -3
B) -1
D)3
3l'2"25r-81
!1
c)+
Br 19
D+)
Ar
'10
'34
L+z -21
2)
'24
4
1
A)-;
c)4
B),
D) -4
1
3y
-
5y
-
(2y -6)
- 8Y -z(eY - 6)
A)1
cl -3
Bl 3
D) -1
24
5) 6+2(l- x)= 4(x+5)
Bth
Grade Honors Unit 1 Exam
7J Select all equations that have
infinitely many solutions.
A)1
B)-1
AJ
5x*10: 5x+20
B)
aQx-5)= 8x-20
CJ
5x+8- x-20+4x-12
c)-2
D)2
LL
6)'55
-;(9x-20)-3x:=x-6
D) 15x-(10 +5x)-20x-10
-f
A)
-2
c)
B)
2
D)ry
))
b6
Bth
BJ
An equation is shown.
*roo.+
33)
Grade Honors Unit 1 Exam
10) A 39 cm board is cut into three
pieces. The first piece is twice the
second. The third piece is five less than
the second. What is the length of the
shortest board?
-!Ot*+zt)
Does the equation have one solution,
infinitely many solutions or no
solutions? Explain your answer.
AJ There is no value for x that would
make 15 equal 28. So the equation has
no solutions.
B) The solution to the equation
,t
tr.
Since the solution is a fraction, the
equation has one solution.
A)
17
cm
B)lLcm
C)
lt
cm
D)6cm
C) The solution to the equation is -21.
Since the equation has one negative
solution, the equation has one solution.
DJ Since
*r**r:trr5x;,
the
equation is true for all values of x and
the equation has infinitely many
solutions.
11J Eduardo went to a Fresno State
football game with some friends. They
bought 6 snacks of equal price and four
drinks that cost a total of $12. How
much did each snack cost if they spent
$42? Write an equation and solve.
linear equation in one variable
(the variable x).that can be
transformed into an equivalent
equation in which of these forms has
more than one solution?
Select all that apply.
9J A
AJx-1
B)
1:1
c)
l:2
D)2--2
E)2-3
A) $3
c) $s
B) $4
D) so
3\e
Grade Honors Unit 1 Exam
15J Ellie is six years older than Maisy.
12J Consider the equation: c - ax-bx
Zoe is twice as old as Ellie. The sum of
If a-b,c* 0 and a,b,and c are nonBth
their ages is 50. How old is Zoe?
negative integers, then the equation
has how many solutions?
A) No Solution
BJ One Solution
CJ Infinitely Many Solutions
13J Sam is mowing a field. The given
diagram shows that he mowed nine
thirteenths of the field in l- hours.
Arc4 o, tfur f tc{d
Which equation can be used to find the
area of the field?
t3
A),gEo = 342
342= a
c)
-.9
I
'13
-a -342
Bl
D)
141 Which value is the
inverse of the sum of
9
-
t3
o342-
a
A)8
c) 24
B) 22
D) 28
16) On March 3'd, the cost of gas was
$3.18 per gallon. After March 3'd, the
price of gas rose at a rate of $0.04 per
day for the next three weeks. If d
represents the number of days after
March 3rd, write and solve an equation
to find how many days it took for the
gas price to reach $3.54?
multiplicative
?n9l
37
At'21
-38
cl'2r38
On which date did the price reach
$3.s4 ?
2L
Dl'392l
A) March
11
C) March 13
March
12
DJ March 21
B)
38
BJ
31
Bth Grade Honors Unit 1 Exam
19J A square and a triangle are shown.
17J Write a number in each box to
create an equation that has no solution.
8x-3x*2-x:l
i:
[-_l
:x + !i
x+S
8(x+ 4)=40
8x+32-40
8x-8
x:1
Identify if there is an error in the
problem. If there is explain. [1 pointJ
t:iqur* s
t'igure A
1B) Error Analysis:
l0 -2(x + 4) - 49
The perimeter of the square and the
triangle are the same.
Fill in the following.
1fi'-
i
i
The perimeter of each is
If incorrect, provide the correct work
and solution to the given problem.
(2 points - correct worh 1 pointcorrect answer)
Work
i8
Bth
Grade Honors Unit 1 Exam
20J-Determine whether the following equations have one solution, infinitely many
solutions or no solution. Show your work.
4x-3=4x-3
Ll
LJ
5a*2*3a
r*\
\:l
LJ
*
r-\
#
LI
t1
()
i,r
3(?q
1)
= *1 +6y
2(4+3m):?tm+2)
2(3e-1):-6(3+9/g)
*
i]
bq
Task 1; Demonstrate how you would solve
zx *r _ 7 using
Algebra Tiles.
Task 2: Demonstrate how you solve 4x-z= x*4
using
Algebra Tiles.
+D