Simplifying Expressions (w/ Factoring & Distributive)
For the angles that Mr. Gregory draws, write and solve an equation for the supplementary angle relationship given.
Angle 1 is (5x + 10)
Angle 2 is (3x + 2)
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x = 21
(Mr. Gregory will rewrite this)
Solve and graph the solution.
x/-6 - 12 > -16
x < 24
Open circle on 24, to the left.
Use the distributive property to give the equivalent expression.
4(2.7x - 3.2)
10.8x - 12.8
-6x + 5 = -41
15 - 1.2x = 1.3x - 3.9
x = 7.56
Which step (or steps) is the mistake? AND correct it.
Step 1) -52 = 0.25(n+8)
Step 2) -52 = 0.25n + 2
Step 3) -50 = 0.25n
Step 4) -2 = n
Step 2 and Step 4
-54 = 0.25n
-220 = n
Graph the following inequality. Remember to use either an open circle or closed circle correctly:
-3x + 7 is less than or equal to -11
Closed circle on 6.
Points to the right.
A quadrilateral has four side lengths represented by the following expressions:
(2x + 5), (1/2x - 5), (5x), (4x - 7)
What is the expression that representes the perimeter?
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9 1/2 x -7
13=0.6x-3.8
x = 28
Mr. Gregory will rewrite this so that it's clearer:
-3/4x + 7/8 = 3/8x + 13/16
x = 1/18
Label each equation as no solution, one solution, or infinitely many solutions. There is one of each type.
1) 2.1(n+5) = n + 1.1n + 25
2) 2.1(n+5) = 2n + 0.1n + 10.5
3) 2.1(n+5) = 2.5n + 15
1) No solution
2) Infinitely many
3) One solution
For the following inequality:
3/4 y - 5 < 4
which of the following numbers is a solution?
9, 10, 11, 12
9, 10, and 11
An equilateral octagon has one side length that is 2x + 7. What expression represents the perimeter?
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16x + 56
0.7(x-4)=5.6
x = 12
0.3(p - 9) = 0.7p + 5
p = -20
Determine the measure in degrees of the angle indicated with an arc using angle relationships.
Two angles in bottom left quadrant. 12x & 3x with arc on 3x.
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18 degrees
Yaretzi is trying to break (not tie) the record for most buckeyes collected at her school. She already has 97 buckeyes and is able to collect 15 buckeyes every week. The current record is 322 buckeyes.
A) Write the inequality for this situation.
B) Solve it.
FOR DOUBLE POSSIBLE POINTS.
C) Graph the solution.
A) 15b + 97> 322
B) b > 15
C) Open circle on 15. Pointing to the right.