6th Grade
Which expression is equivalent to 12(3 + m)
a. 36m
b. 36 + m
c. 36 + 12m
d. 3m + 12m
See Board for drawing, then answer the following:
Choose True or False for each statement:
1. <AHB and < AHG are vertical angles.
2. <EHF and <DHE are adjacent angles.
3. The measure of <FHG is equal to the measure of <DHF.
4. The sum of measures of <BHC and <CHD is equal to the measure of <FHG.
1. False
2. True
3. True
4. True
-3x + 3y = 12
y = x + 4
Is this one solution, no solution, or infinitely many solutions?
Infinitely many solutions
.6252 / .003
208.4
Which of the following are equivalent to
(10 x 18) + (10 x S)
a. 190 x S
b. 20 x 18S
c. 180 + 10S
d. (10 + 10) + (18 + S)
e. 10(18 + S)
e. 10(18 + S)
See drawing on board, then answer below:
The measure of <BEC is _____ degrees.
The measure of <ABE is _____ degrees.
<BEC = 70 degrees
<ABE = 160 degrees
y = 2x + 7
y - 2x + 7
one solution, no solution, or infinitely many solutions?
infinitely many
Change from improper to mixed number:
17/9
1 8/9
Write an expression equivalent to 5x2 - 15x using the blanks below:
____ ( ______ - ______ )
5x (x - 3)
OR
5(x2 - 3x)
OR
x(5x - 15)
See drawing on board and take the following information into account. Then, select the best/one answer below:
In the diagram, <ABD and <BDC are supplementary, the measures of <EDF = 9x, and the measure of <ABD = 2X +105
Which equation can be used to find the value of x?
a. 9x = 2x + 105
b. 2x + 105 + 9x = 180
c. 2x + 105 + 9x = 90
d. 2x + 105 - 9x = 90
B. 2x + 105 + 9x = 180
y = -3/4 x - 2
y = 3/4 x + 1
one solution, no solution, or infinitely many solutions?
one solution
-127 + 54 =
-73
Matching: Match the expression with an equivalent expression. *See board for options
1. (7 x 6) + (7 x Y)
2. y(6 + 7)
3. (6 x Y) + (6 x 7)
4. y(6 + y)
1. 7(6 + Y)
2. (Y x 6) + (Y x 7)
3. 6(Y + 7)
4. (Y x 6) + Y2
See the picture on the board. What is the value of X?
x = 8
y + 4x = -5
2y = -8x - 20
one solution, no solution, or infinitely many solutions?
No solution
-12 - (-16) =
4
Clara states that r2 + 5r + 3r is an equivalent expression to 9r. Why is Clara's statement incorrect?
*choose all that apply
A. The expression r2 + 5r + 3r simplifies to r2 + 8, which is not equivalent to 9r.
B. When you substitute 1 for r in both expressions, r2 + 5r + 3r has a value of 10 and 9r has a value of 9. These values are not equal.
C. The expression r2 + 5r + 3r simplifies to 10r, which is not equivalent to 9r.
D. When you substitute 2 for r in both expressions, r2 + 5r + 3r has a value of 20 and 9r has a value of 18. These values are not equal.
E. When you substitute 4 for r in both equations, r2 + 5r + 3r has a value of 48 and 9r has a value of 36. These values are not equal.
F. The expression r2 + 5r + 3r simplifies to r(r + 8), which is not equivalent to 9r.
D, E, F
See the picture on the board. What is the measure of <CFD?
<CFD = 60 degrees
8x + 4y = 16
8x + 2y = 8
one solution, no solution, or infinitely many solutions?
one solution
3/8 + 1/9 =
35/72