Equations and Inequalities
What State is Mr. Lawler from?
North Carolina
What is the slope of the graph of y=6x-1 ?
A) -6 B) -1 C) 1/6 D) 6
D) 6
Translate the following "4 more than a number is 6"
A) 4x=6 B) 4x-6
C) 4+x=6 D) x/4-6
C)
4+x=6
Which is closest to the value of x if =2sqrt7?
A) 3.2 B) 3.7 C) 5.3 D) 9.9
C)
2sqrt7=5.29
Which is the solution to the system of equations shown? x+y=4 and x-y=2
A) x=1, y=3 B) x=2, y=2
C) x=3, y=1 D) x=4, y=0
C)
What is the Slope Intercept Formula?
y=mx+b
What is the solution to 2-4x=16
A) 18 B) 10 C) -7/2 D) -9/2
C)
2+(-2)-4a=16+(-2) -> -4a=14
(-4a)/-4=16/-4 ->a=-7/2
What is the solution to the inequality (x-7)/-2<=-6
A) x>=19 B) x>=12
C) x<=12 D) x<=19
A)
x>=19
-2*((x-7)/-2)<=-6*-2
x-7+7>=12+7 ->x>=19
What is the slope of the line that goes through (-3,2) and (3,2) ?
A) Undefined B) 0
C) 2/3 D) 3/2
B) 0
(2-2)/(3--3)=0/6=0
What Military Service was Mr. Lawler a part of
A) Navy B) Marines C) Air Force
D) Army E) Coast Guard F) Space Force
D) Army
If f(x)=-2x+3 what is f(-4) ?
A) -5 B) -1 C) 5.5 D) 11
D) 11
Which is the solution to the system of equations shown? -16+2x-8y=0 and 36+18y+22x=0
A) (-2,0) B) (0,0) C) (0,-2) D) (-16,-36)
C) (0,-2)
What is Standard Form?
Ax+By=C
Which expression correctly represents $10 less than twice the cost, c?
A) 10-2c B) 10-2+c
C) 2x-10 D) c/2-10
C)
10-2c
What is the solution to the inequality 7x-5>=x+1 ?
A) x<=1 B) x>=1
C) x>=-1 D) x<=5/2
B)
Which equation represents the vertical line passing through (6,4)?
A) x=5 B) y=4
C) x=6 C) y=7
C) x=6
Translate the expression "Five times the difference of a number and 3."
A) 5(x/3) B) 5x-3
C) 5-x*3 D) 5(x-3)
D)
What is the value of 3x^2-y^2 if x=-1and y=3?
A) 12 B)-3 C) -6 D)-12
C)
3(-1)^2-(3)^2 = 3*1-9=3-9=-6
What University did Mr. Lawler Graduate from?
JMU
What is the Point Slope Formula?
y-y_1=m(x-x_1)
Determine which of the points below is a solution to the system of inequalities: y> -x-2 and y<-5x+2
A) (0,2) B) (0,-2) C) (-1,-3) D) (-1,2)
D) (-2,8)
Solve for x
5(2x+6)=-4(-5-2x)+3x
A) 4 B) -4 C) No Solutions
D) 10 E) 2 F) Infinite Solutions
D) 10
10x+30=20+8x+3x -> 10x+30=20+11x
10x+30+(-20)=20+(-20)+11x->10x+10=11x
10x+(-10x)+10=11x+(-10x)->10=x
How many Pets does Mr. Lawler have?
16
15 Cats and 1 Dog
A consulting Engineer bills his customers $85 per hour. If a client's bill is 1,000, which equation could be used to find the number of hours worked?
A) 1000x=85 B) x/1000=85
C) 85/x=1000 D) 85x=1000
D)
85x=1000
Evaluate the expression, a^2-2bc-|c| when a=-2,b=3, c=-3
A) 17 B)22
C) 19 C) 11
C)
(-2)^2-2(3)(-3)-|-3|
4+18-3 =19
Determine which of the points below is a solution to the system of inequalities: y<5/3x+2 and x<= -3
A) (-3,-5) B) (-3,-3) C) (-6,-8) D) (-2,0)
A) (-3,-5)
What is the Slope Formula?
m=(rise)/(run)=(y_2-y_1)/(x_2-x_1)
The equation of the line that contains the points (-8,1) and (0,-5) is...
A) y=3/4x+7 B) y=1/2x+1
C) y=-3/4x-5 D) -3/4x+7
C)
m=(-5-1)/(0--8)=(-6)/8=(-3)/4
y--5=-3/4(x-0)->y+5=-3/4x
y+5+(-5)=-3/4x+(-5)
The volume of a cylinder is given by V=pir^2h . Which equation could be used to solve for h?
A) h=pir^2V B) h=V/(pir^2)
C) h=V+pir^2 D) h=V-pir^2
B)
V/(pir^2)=(pir^2h)/(pir^2)
What is the slope of the line represented by 1/6x+5y=3 ?
A) -1/6 B) 1/30
C) -1/30 D) 1/6
C)
-1/30
What Languages does Mr. Lawler Speak
English and Persian
Evaluate the expression when x=-3 and y=-2
2x^2-5xy-y^3
A) -8 B) -4
C) -40 D) 56
B) -4
2(-3)^2-5(-3)(-2)-(-2)^3
2(9)-30+8->18-30+8->
Select all points that are solutions to the following system of inequalities: y>=2/3x+3 and y> -4/3x-3
(0,0) (1,1) (-6,5) (-4,-8)
(0,3) (-1,6) (-4,3) (-3,1)
(0,3), (-1,6), and (-4,3)
Parallel is the same/equal
Perpendicular is negative reciprocal/flipped and negative
Create the system of equations to solve the Word Problem: A rectangle has a perimeter of 68 inches. Its length is 2 inches less than 3 times its width. What are the length and width of the rectangle?
A) 2l+2w=68 and l=3w-2 B) l+w=68 and l=3w-2
C) l+w=68 and l=2-3w D) 2l+2w=68 and l=2-3w
A)