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11/08/19 Cumulative Review 8th-grade math
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Gravity
Key Concepts:
Terms in this set (148)
x=12
Solve for x:
1/2 x + 3 = 9
y=x+1
Write an equation for the given line in slope-intercept form.
x=4
What is the equation of the line?
3.0 x 10²
Write in Scientific Notation: 300
x=- 5
What is the equation of the line?
x=30
Solve for x:
1/3 x - 2 = 8
y=2x
What is the equation of the line?
y=4
What is the equation of the line?
y = -2/3x - 2
Write an equation for the given line in slope-intercept form (solved for y).
1.41
The square root of 2 is approximately _______
4x⁶
Simplify using the laws of exponents:
(-2x³)²
y = 1/3x
Write an equation for the given line in slope-intercept form (solved for y).
y=- 5
Write an equation for the graph.
18.7
leg=7m hypotenuse =20m find the missing side, round to tenth
y = - x
Write the equation of the line.
13 or -13
Simplify
y = x
Write the equation of the line.
y = 3x
Write the equation of the line.
5.72×10⁹
Write in Scientific Notation:
5,720,000,000
-5
Simplify
x=-4
Write the equation of the line.
x = 100
Solve for x:
x/5 - 5 = 15
y=-4
Write the equation of the line.
1.73
Approximate the Square root of 3.
x=2
What is the equation of the line?
x = 16
¾ x = 12
y=2
What is the equation of the line?
8x⁶
Simplify using the laws of exponents:
-4x³(-2x³)
x = 8
Solve for x:
¼ x = 2
x = 25
2/5 x = 10
y=-2
Write the equation of the line.
x = 18
x/6 = 3
x = -1
2 (x + 2) = 2
y=4x-2
Write the equation of the line.
x = 2
3 (5x - 2) + 2 = 26
9.9
hypotenuse is 14 and the legs are the same size. Find the length of each leg. (calculator permitted)
x=-5
5 (n + 2) = 3n
y=-½x-4
Write the equation for the line.
y = x + 6
x=1
5 (7x - 13) = -30
y = 2x + 4
Write the equation of the line.
x=32
x-7 = 25
y = x + 3
Write the equation of the line.
x=5
-3x + 12 = -3
y=x
Write the equation of the line.
x = 10
3x -30 =0
27x⁹
Simplify using the laws of exponents:
(3x³)³
x = 6
5(x+2) = 40
No Solution
12(2x + 11) = 12(2x + 12)
y= -x
Write the equation of the line.
x = -3
-4x + 2(5x - 6) = -3x - 39
m=1
What is the slope of the line?
x = -7
-11 + 10(x + 10) = 4 - 5(2x + 11)
6.3
legs are 3 and √31. Find the hypotenuse calculator permitted
x=-6
Solve for x:
3(x + 3 - 3) = -18
m=-1
What is the slope of the line?
25
legs of 24 and 7, what is the hypotenuse? calculator permitted
m=2
What is the slope of the line?
x=3
2(4x - 3) - 8 = 4 + 2x
m=-3
What is the slope of the line?
10
a=24 and c=26, what is the length of b? (calculator permitted)
x=-4/5
8 = 8x + 2(x + 8)
1
Simplify
m=1/3
What is the slope of the line?
x = -2/3
5(2x + 6) = -4(-5 + 2x) + 3x
x³
Simplify:
-x(-x)(x)
2.4327 x 10⁴
Write in Scientific Notation:
24,327
2.4327 x 10⁷
Write in Scientific Notation:
24,327,000
m=1/2
What is the slope of the line?
Two Solutions
How many possible solutions?
m=3
What is the slope of the line?
4.2
Side of a square is 3 inches-how long is the diagonal? (calculator permitted)
3.0 x 10¹
Write in scientific notation:
30
-12x²
Simplify:
3x(-4x)
x⁵
Simplify:
(x²)(x³)
4.5
Cody runs 4 miles south and then 2 miles west how far is he from his house? Calculator permitted
m=1/4
What is the slope of the line?
3.32
Approximate the Square root of 11
5.3 x 10⁻²
Write in Scientific Notation:
0.053
y = -³/₄ x
What is the equation of the line?
15
If a square has an area of 225 cm^2, what is the measure of its side?
y = ³/₂ x - 6
What is the equation of the line?
x⁸
Simplify:
x(x⁷)
10.6
Point A (3,2) and point B (-5, -5) what is the distance between A and B?
28.9
A 30 foot ladder is placed 8 feet from the base of a wall, how far up the wall will the ladder reach (calculator permitted)
5.74
Approximate the Square Root of 33
14 or -14
Simplify
One Solution
How many solutions?
5.3 x 10⁻⁶
Write in Scientific Notation:
0.0000053
5.72×10²
Write in Scientific Notation:
572
7.8 x 10⁻³
Write in Scientific Notation:
0.0078
x = 0
Solve for x:
10x + 9 - 11 - x = 2(2x + 4) - 3(2x - 2)
-11
Simplify
3.0 x 10⁵
Write in Scientific Notation:
300000
-18x⁴
Simplify:
3x²(x²)(-6)
7
If a square has an area of 49 inches squared, what is its side length?
11.4
Point C(0,0) and point D(7, 9) what is the distance between C and D? calculator permitted
7.8 x 10⁻¹
Write in Scientific Notation:
0.78
7.28
Approximate the Square Root of 53
x²
Simplify using the laws of exponents:
x(x)
5.72×10⁻¹
Write in Scientific Notation:
0.572
3
Simplify
x=-2
-12 = 2 + 5x + 2x
10.58
Approximate the Square root of 112
12x⁶
Simplify:
(3x)(4x⁵)
8x⁵
(-2x³)(-4x²)
NO REAL SOLUTION!
√-4
x=-12
-10x + 9x = 12
5.72×10⁻⁴
Write in Scientific Notation:
0.000572
5
If a cube has a volume of 125 cm^3, what is the length of one side?
-27x⁶
(-3x²)³
2
If a cube has a volume of 8 cm^3, what is its side length?
2000x⁶
2x³(10x)³
8x³y³
(2xy)³
x⁴y⁴
Simplify using laws of exponents.
8x³
Simplify using laws of exponents.
a⁵
Simplify using laws of exponents.
6x⁴
Simplify:
-2x(x²)(-3x)
x⁶/y¹⁰
Simplify using laws of exponents.
x¹³
Simplify using laws of exponents.
9x²
Simplify using laws of exponents.
4c⁵
Simplify using laws of exponents.
x⁵y⁵
Simplify using laws of exponents.
36x²
Simplify using laws of exponents.
a⁸
Simplify using laws of exponents.
a¹⁸b⁶
Simplify using laws of exponents.
rational; because it simplifies to 4
Determine if it is rational or irrational and justify your claim.
irrational; because it is not a perfect cube
Determine if it is rational or irrational and justify your claim.
rational; because it simplifies to 1 which is a rational number.
Determine if it is rational or irrational and justify your claim.
irrational; because it does not terminate or repeat.
Determine if it is rational or irrational and justify your claim: 0.12372910...
rational; because it is a perfect square
Determine if it is rational or irrational and justify your claim.
irrational; because it is not a perfect square.
Determine if it is rational or irrational and justify your claim.
8.49
Approximate the Square Root of 72
rational; because it simplifies to a repeating decimal.
Determine if it is rational or irrational and justify your claim.
x⁷
Simplify:
(x⁴)(x³)
5/6 or -5/6
Simplify
x²⁴
Simplify using laws of exponents.
9
Simplify using laws of exponents.
a⁸b¹²
Simplify using laws of exponents.
2c⁷
Simplify using laws of exponents.
15x⁸
Simplify using laws of exponents.
x⁷y⁷
Simplify using laws of exponents.
x¹⁰
Simplify using laws of exponents.
a⁴
Simplify using laws of exponents.
x⁴/y¹⁰
Simplify using laws of exponents.
12x⁵
Simplify using laws of exponents.
x¹¹
Simplify using laws of exponents.
x²⁰
Simplify using laws of exponents.
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