Unit 1
Find f(-10)
f(x)=7x-5
A: -75 B:75
C:-65 D:65
A:-75
Which choice consists of the y-coordinates of all the points that satisfy the system of inequalities below?
y>2x-1
2x>5
A:y>2 B:y<4
C:y>7 D:y>4
D:y>4
If b is a rational number and c is a rational number, then product bc must be?
A:rational B:irrational
C:imaginary D:none of the above
A:rational
Write a quadratic equation in standard form that has 5/3 & 7/3 as its roots.
A:9x2+36x-35=0 B:9x2+36x+35=0
C:9x2-36x+35=0 D:9x2-36x-35=0
C:9x2-36x+35=0
Ms.Smith's biology class is observing the growth of bacteria. They start with 30 bacteria and the amount doubles every day. Which of the following equations can Ms.Smith use to determine how many days it will take for there to be 480 bacteria?
A:480=30+2t B:30=480(2)t
C:480=30(2)t D:480=2(30)t
C:480=30(2)t
Sketch the linear function: f(x)=1/6(3x+1). What is the x-intercept?
A:(1/6,0) B:(0,-1/3)
C:(-1/3,0) D:(-1/8,-5)
C:(-1/3,0)
A Lift driver charges $0.50 per mile and an initial fee of $3. An Uber charges $0.60 per mile and an initial fee of $2. Which inequality represents the situation where the cost is using Uber is greater than taking Lift, where m is miles?
A:0.50m+3<0.60m+2 B:0.50m+3>0.60m+2
C:0.50m+0.60m<3+2 D:0.60m-3<0.50m+2
A:0.50m+3<0.60m+2
Identify the number which is Irrational.
A:4/5 B:0
C:√34 D:-1.23
C:√34
Factor. 9x2+24x+16
A:(3x+4)(3x+4) B:(9x+16)(3x+2)
C:(3x+4)(x+4) D:(3x+4)(3x-4)
A:(3x+4)(3x+4)
Solve for x.
6-2x=6(2-3x)
A:x=2 B:x=-2
C:x=3 D:1
A:x=2
Mathew is building a patio. His contractor charges $625 for labor plus an additional $3.34 per square foot for materials. Create a function that can be used to determine the cost, in dollars, for a patio with an area of x square foot.
A:f(x)=625x+3.34 B:f(x)=3.34x+625
C:f(x)=3.34x+625x D:f(x)=3.34x
B:f(x)=3.34x+625
Which of the following is a solution for 15x+5y>15?
A:(1,-2) B:(-2,4)
C:(2,2) D:(-2,-2)
C:(2,2)
Multiply (√30x3y2)(√5x4y3)
A:5x6y4√6 B:5x3y2√6xy
C:5x3y2√6xy D:6x3y2√5xy
B:5x3y2√6xy
Find the value of c that makes the expression a perfect square trinomial.
x2-8x+c
A:32 B:16
C:94 D:12
B:16
Which exponential function describes the sequence below?
3,9,27,81...
A:y=(-3)x B:y=3x
C:y=1/3x D:y=-1/3x
B:y=3x
Which function describe the arithmetic function below?
{-1,1,3,5,7,9,11,13...}
A:f(x)=3x+2 B:f(x)=3x-2
C:f(x)=2x+3 D:f(x)=2x-3
D:f(x)=2x-3
Mia has $45 to spend on string to make banners. Blue string costs $5 per yard and red string costs $4 per yard. Mia needs at least 7 yards of string to make the banners. Choose the correct solution for this situation.
A:3 yards of blue & 3 yards of red.
B:4 yards of blue & 3 yards of red.
C:5 yards of blue & 6 yards of red.
D:6 yards of blue & 5 yards of red.
B:4 yards of blue & 3 yards of red.
3√18+3√12+2√27=
A:18√3 B:3√2+6√3
C:21√3 D:9√2+12√3
D:9√2+12√3
Find the average rate of change for f(x)=x2-8x+15 from x=-3 to x=2.
A:-9 B:9
C:4 D:-4
A:-9
A truck's value over each year, x, can be molded with the equation f(x)=26,987(0.87)x. Which statement is the best interpretation of one of the values in the function?
A:The initial value of the truck decreases by 13% each year.
B:The truck's value at the end of the first year is $26,987.
C:The truck's value decreases by 87% each year.
D:The value of the truck after 15 years is $26,987.
A:The initial value of the truck decreases by 13% each year.
The recursive formula of a sequence is shown below. What is the value of a4?
a1=16; an=an-1+6
A:29 B:14
C:34 D:39
C:34
Which of the following is a solution set for 11<-k+19?
A:k>8 B:k<8
C:k<4 D:k>13
B:k<8
If j is a rational number and k is an irrational number, then the sum of j+k is?
A:irrational B:rational
C:imaginary D:an integer
A:irrational
Solve. (x-7)2=81
A:x=2 or -7 B:x=-16 or 2
C:x=16 or -2 D:x=-2 or 7
B:x=-16 or 2
Solve the function f(x)=2x-4 when x=1.
A:2 B:8
C:1/8 D:25
C:1/8