1st Semester Review

Equations and Inequalities

100

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

200

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

300

What is the solution to the inequality  7x-5>=x+1 ?

A)  1<=x      B)  1>=x 

C)  -1>=x      D) 5/2<=x 

A)

400

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

500

How many cats does Mr. Lawler have?

15

(Wendy, Oliver, Morris, Max, Anthony, Leo, Willow, Ren, Ozzie, Rudy, Winnie, Mommy, Oswald, Charlie, and Peaches)

Linear Equations

100

What is the slope of the graph of  y=6x-1 ?

A) -6      B) -1      C) 1/6       D) 6

D) 6

200

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

300

Bonus Question

What state has Mr. Lawler not lived in?

A) Virginia     B) North Carolina     C)California

D) Florida  E) Texas    F) Maryland

D) Florida

400

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)

500

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

Evaluating Expressions

100

What college did Mr. Lawler Graduate from?

JMU

200

If  f(x)=-2x+3 what is f(-4) ?

A) -5      B) -1      C) 5.5      D) 11

D) 11

300

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

400

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

500

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->

System of Equations and Inequalities

100

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)

200

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)

300

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)

400

Bonus Question

What sport did Mr. Lawler play in High School

A) Football     B) Soccer     C) Basketball

D) Cross Country     E) Baseball     F) Tennis

B) Soccer

500

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)

Formulas

100

What is the Slope Intercept Formula?

y=mx+b

200

What is the rule for slopes of Parallel Lines?

Parallel slopes are equal/same

300

What is the Slope Formula?

m=(rise)/(run)=(y_2-y_1)/(x_2-x_1)

400

What is the rule for the slope of perpendicular lines?

Perpendicular lines are flipped and negative (Opposite Reciprocal)

500

What is the formula for Vertical Dilation

k*f(x)

Domain and Range

100

Using the equation 

f(x)=1/2x+3

determine f(6)

6

200

Bonus Questions

What Branch of the Military did Mr. Lawler serve under?

A) Navy          C) Army

B) Marines       D)Air Force

C) Army

300

What is the Range of the following Table?

{5,7,9,10}

400

Which number is NOT an element in the domain of this relation? {(-2,3),(0,4),(1,1),(6,0)}

A) 4      B) 1      C) 0      D) -2

A) 4

500

Determine the Range of the function 

f(x)=x^2+2x-4

when the domain is 

{-5,0,3}

{-4, 11}

 No repeats

Miscellaneous

100

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

200

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

300

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)

400

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)

500

Which one of these equations is not a function?

A)  y = 2       B) x=4 

C)  y=3x+2       D)  x=3y+2

B) x=4