IA Semester 2 Final Practice

Unit 4 - Factoring

100

Change x(3x+2) into standard form (use distributive property) 

3x²+2x

200

Factor 7x³-28

7(x³-4)

300

Factor x²+13x+22

(x+11)(x+2)

400

Factor x²-8x-20

(x-10)(x+2)

500

Factor 2x²+9x+7

(2x+7)(x+1)

Unit 5 - Graphing and Solving Quadratics

100

Find the zeros of the quadratic equation (x-7)(x+3)=0

(7,0) and (-3,0)

200

Find the zeros of the quadratic equation x²-7x+12

(4,0) and (3,0)

300

Find the y-intercept of the quadratic equation (x-6)(x-2)

(0,12)

400

Find the zeros of the quadratic equation 41=(x+3)²-8

(4,0) and (-10,0)

500

Find the zeros of the quadratic equation 2x²+7x-12 (hint: use the Quadratic Formula)

(1.26,0) and (-4.76,0)

Unit 6 - Systems of Equations

100

Given the function (3,7) (2,12) (-1,17) (4,-3) (13,-5), find f(2)

12

200

Given the function (3,7) (2,12) (-1,17) (4,-3) (13,-5), find f(x)=17

x=-1

300

Find the vertex of the quadratic equation x²-8x+10

(4,-6)

400

If f(x)=-x+7 and g(x)=3x-1, find the coordiante where f(x)=g(x)

(2,5)

500

If f(x)=x²+4x+3 and g(x)=2x+11, find the coordinate(s) where f(x)=g(x)

(-4,3) and (2,15)

Unit 7 - Statistics

100

If Data Set A includes the numbers 21, 31, 70, 62, 27, 88, 49, 64, 65, what is the frequency of numbers between 61-70?

4

200

Find the median of the data set 4, 7, 8, 9, 3

7

300

Find the mean of the data set 8, 10, 11, 13, 17

11.8

400

Find Q1, Q2, and Q3 of the data set 17, 14, 13, 21, 19, 22, 25, 16, 27

Q2=19

Q1=15

Q3=23.5

500

Find the IQR of the data set 82, 92, 70, 61, 77, 89, 98

22

Random

100

Find the GCF of 18x and 36x²

18x

200

Is (7,12) a solution to the equation y=2x-3?

No

300

Is (-3,-11) a solution to the equation x²+4x-8?

Yes

400

Multiply (3x-7)(x+12)

3x²+29x-84

500

Does the quadratic function f(x)=3x²+4x+3 have no x-intercepts, one x-intercept, or two x-intercepts?

None (negative square root)