Free Printable Cumulative Review March 14

1.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

2.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

3.

Multiply

a)

25
25
5

b)

-25
25
-5

c)

-10
-10
-6

d)

10
10
6

4.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

5.

In Matrix R (pictured) what element is in the second row, third column?

a)

8

b)

9.01

c)

6

d)

1

6.

Determine whether each matrix product is defined. If so, what are the dimensions of the product.
A_2x3 B_2x5

a)

no

b)

yes, 2 x 5

c)

yes , 3 x 5

d)

yes , 2 x 3

7.

Find the product.

a)

undefined

b)

-3 16
17 12
8 -10

c)

3 12
-15 -8
-1 -3

8.

What is the determinant of this matrix?

a)

5

b)

-5

c)

0

d)

-12

9.

What is the formula for the determinant of a 2x2 matrix?

(a)

Choose from the below words

ad-bc

ab-cd

ad+bc

(a+d)(b+c)

10.

What is A^-1?

a)

b)

c)

d)

11.

f(x) = 3x² + 5x - 9

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

12.

f(x) = 4 + 3x - 6x⁷ + 3x⁴

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

13.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

14.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

15.

Determine the end behavior of the graph of
f(x) = 3x⁴ + 2x - 5

a)

As x →∞, f(x) →∞.
As x→-∞, f(x) →-∞.

b)

As x →∞, f(x) →∞.
As x→-∞, f(x) →∞.

c)

As x →∞, f(x) →-∞.
As x→-∞, f(x) →∞.

d)

As x →∞, f(x) →-∞.
As x→-∞, f(x) →-∞.

16.

Complete the end behavior statement using the degree and leading coefficient: $f\left(x\right)=-x^7+2x^2+3x-4$ .

As

x\rightarrow\infty,\ y\rightarrow\ ?

a)

$\infty$

b)

$-\infty$

17.

Solve the system of equations:

a)

( -2, 3, -3)

b)

None of these

c)

( -2, -3, 3)

d)

( -3, 3, -2)

18.

Find the inverse.

a)

A

b)

B

c)

C

d)

D

19.

Write the system of equations to solve this problem.

a)

$8x+3y=57$

$5x+4y=39$

b)

$3x+8y=57$

$5x+4y=39$

20.

The following equations relate the number of children (x) and adults (y) who bought tickets for a Thanksgiving dinner and the money collected in ticket sales.

$x+y=2200$

$1.5x+4y=5050$

Which of the following is true?

a)

5050 people attended the event.

b)

Adult tickets cost $4 each.

c)

Ticket sales totaled $2200.

d)

Four adults purchased tickets.

21.

Match each matrix to its correct dimension.

a)

1.

1 x 3

b)

2.

3 x 1

c)

3.

2 x 4

d)

4.

4 x 2

e)

5.

2 x 3

22.

Evaluate the determinant of the matrix.

a)

40

b)

30

c)

20

d)

10

Cumulative Review March 14

Total questions: 22

Worksheet time: 2hrs 45mins

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