Math test 8-10.6

2 ³√16x+5 ³√54x

19 ³√2x

2p¹/³ (use radical notation. Don't simplify)

2 ³√p

Answer using interval notation: |5x+4|<10

(-14,5 ,6/5)

Write using interval notation: -4<x≤3

(-4,3]

Write using interval notation: x≤-2

(-∞,-2]

Answer using interval notation:|x-9/8|≥7

(-∞,-47]∪[65,∞)

Answer in interval notation and the graph the solution on a number line: 4-2x≥12 or 3x-5≥7

(-∞,-4]∪[4,∞) (number line on answer key)

Write using interval notation: x<1 or x≥5

(-∞,1)∪[5,∞)

Answer in interval notation and the graph the solution on a number line: 4x+2<10 and 1-2x≥11

(-∞,5] (number line on answer key)

Answer using interval notation: |9-x|≥3

(-∞,6]∪[12,∞)

Find the midpoint of the segment with endpoints (1,-8) and (0,6)

(1/2,-1)

Find the midpoint of the segment with endpoints (9,2) and (3,-5)

(6,-3/2)

Write using interval notation: x>x

(6,∞)

(√7+5)(√7-5)

-18

(√3+3)(√3−5)

-7-3√3

p-²/⁵ (use radical notation. Don't simplify)

1/⁵√p²

10-√3/10+√3

103-20√3/97

12x ⁴√x³-2x ⁴√x³

10x ⁴√x³

7 ³√17+5 ³√17

12 ³√17

196½ (simplify)

14

15/√5

15√5/5

A car is moving at a constant speed. After 1 hour, the car passes the 24 mile marker, and after 7 hours the car passes the 318 mile marker. What mile marker does the car pass after 4 hours?

171

3√15+17√15 (simplify and radical form)

20√15

3/7-√2

21+3√2/47

√175 × √25 (simplify and radical notation)

25√7

√360xy/3√5 (simplify and radical notation)

2√2xy

√36/3

2√3

Find the distance between the points (2,-1) and (4,-5)

2√5

³√135 (simplify)

3 ³√5

16⁵/⁴ (simplify)

32

(27x⁶y¹²)¹/³ (simplify)

3x²y⁴

√80 (simplify)

4√5

√50/2 (simplify)

5

³√175 × ³√25 (simplify and radical notation)

5 ³√35

³√125x¹²

5x⁴

5/√7 (rationalize the denominator)

5×√7/7

√125 (simplify)

5√5

√147/3 (simplify and radical notation)

7

√3x+7√108x+8√75x

83√3x

Give the domain and range of the following function 4b

D:(-∞,∞) R:(-∞,∞)

Give the domain and range of the following function 4a

D:[4,∞) R:[0,∞)

If F(x)=x²+2, find f(2) and f(-3)

F(2)=6, F(-3)=11

Does this graph represent a function (yes or no) look at problem 3a

No

Does this graph represent a function? Yes or no look at 3b

No

Given the table, does f(x) represent a linear function? Question5b

No the slope is not equal.

Answer in interval notation: 2-3x<-16 and 4x+2<-6

no solution

Does the graph represent a function yes or no look at 3c

Yes

Given the table, does f(x) represent a linear function? Question 5a

Yes, it is a consistent slope. Equation: f(x)=4x+4

Answer using interval notation:|1-4x/7|≤2

[-13/4 , 15/4]

Answer in interval notation: 4x-4>1 or -1/5x≤3

[-15,∞)

Answer using interval notation: -3<7-9x/9≤3

[-20/9 , 34/9)

(Use answer key for diagram) 27b

a=9

(Use answer key for diagram) 27a

c=5√2

(12-6x)²=900

x=-3,x=7

³√2x+5=3

x=11

|4x+6|+7=16 (Leave as fraction)

x=3/4, x=-15,4

Solve: √2x+5 -√x-2=3

x=38,x=2

√7x+8=8

x=8

|x-5|-7=-4

x=8, x=2

³√xy⁵ × ³√x⁷y²⁰ (simplify and radical notation)

x²y⁸ ³√x²y

⁴√x¹²/y⁸

x³/y⁸

(x⁶y⁸)½ (simplify)

x³y⁴

³√x¹⁵y²⁵z¹⁰

x³y⁵z²

√x³y² × √x⁵y (simplify and radical notation)

x⁴y√y

√x¹⁶ (simplify)

x⁸

x⁴/³ (use radical notation. Don't simplify)

³√x⁴

(2p+1)¾ (use radical notation. Don't simplify)

⁴√(2p+1)³