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