MTHM 095 Test 1 Review

Graphs

100

If I have the point (5, -3) Tell me the points that are 1)Symmetric about the y-axis 2)Symmetric about the x-axis 3)Symmetric about the origin

1) (-5, -3) 2) (5, 3) 30 (-5, 3)

200

What quadrant is the point (-4, -3) in?

3rd Quadrant

300

What are my x and y intercepts for the function y=4x+2

x int: (-1/2, 0) y int: (0, 2)

400

Find the distance between these two points (simplified radical form) (1, 6) and (5, -4)

Distance: 2sqrt(35)

500

Find the midpoint of these two points (3, 7) and (10, -4)

(13/2, 3/2)

Linear Equations/Inequalities

100

Solve the linear equation (for x) 10-2x=4

x=3

200

Solve the equation 12 - (-3+x) = 4(x+2)

x=7/5

300

Solve the equation for B (3B-2) / (B+a) = 4+5

B = (-2+9a)/6

400

Solve the linear inequality and put answer in interval notation -3< 2x -5 < 21

(1, 13)

500

Solve the following inequality and answer using interval notation (3x + 4)/5 < 2 or 2x-3 > 7

(-infinity, 2)U(5, infinity)

Random

100

Give me an example of a radical with an even index that is greater that 5 and a radical that is less than 5

Answers may vary

200

Solve for y 3(x+y)-12= 4+2y

y=16-3x

300

If a right triangle has a hypotenuse equal to 12 and one of the sides/legs is equal to 5, what is the length of the missing component (simplified radical form)

sqrt(119)

400

Give me an example of commutative property of real number addition

a+b=b+a

500

What group of numbers do each of these letters represent and what numbers are those, using Roster N W Z Q P

N-natural numbers {1,2,3...} W-whole numbers {0,1,2,3...} Z-Integers {..-2,-1,0,1,2...} Q- Rational numbers, any number you can write a fraction P-Irrational numbers,number that cant be written a fraction

Radicals

200

Sqrt(18) + Sqrt(72)

9Sqrt(2)

300

Simplify (-27)^(2/3)

9

400

Simplify (3/4)^(-3)

64/27

500

sqrt [ (5-(-4)) + 3(17+4) ]

6sqrt(2)

Intervals

100

Simplify (if it can be simplified) (-20, 13) n [5, infinity)

[5, 13)

200

What set of numbers does this represent (in words) {x l x=2n-1 such that n ∈ Z}

All odd integers

300

Put the set into interval notation { x l x ≠ 23 and -10<x<51}

(-10, 23)U(23, 51)

400

Write in interval notation {x l x≠ 1, 4, 7}

(-infinity, 1)U(1,4)U(4,7)U(7, infinity)

500

Put into interval notation an interval containing numbers greater than or equal to 5, but less than 201

[5, 201)