Adding and Subtracting Matrices

Which of the following gives all of the coefficients of the algebraic expression ?

-15

-15, -2

-15, -2, 7

-15, -2, 7, 17

Which statement correctly explains how Dana can solve the following system of linear equations for x using the elimination method?

Add the two equations, solve for y, and then substitute –1 for y to find x.

Multiply the bottom equation by –4, solve for y, and then substitute –1 for y to find x.

Multiply the bottom equation by –1, subtract the two equations, solve for y, and then substitute 1 for y to find x.

Multiply the two equations, solve for y, and then substitute 1 for y to find x.

A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acceleration due to gravity is –16 ft/s2, approximately how many seconds after the launch will the toy rocket reach the ground?h(t) = at2 + vt + h0

0.05 s

2.03 s

3.80 s

3.70 s

Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?

0 with multiplicity 3, –3 with multiplicity 2, and –2 with multiplicity 1

0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1

0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1

0 with multiplicity 3, –3 with multiplicity 1, and –6 with multiplicity 1

If is the inverse of and , what is ?

g (x) = 12 x + 4

g (x) = one-fourth x minus 12

g (x) = x minus 3

g (x) = one-fourth x minus 3

Kyle has a total of 16 coins in his pocket. All the coins are nickels or quarters, and they have a total value of $2.20. How many nickels does Kyle have?

7 nickels

8 nickels

9 nickels

11 nickels

Based on the type of equations in the system, what is the greatest possible number of solutions?

One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.

x = –25 or x = 10

x = –25, x = 1, or x = 10

x = –10 or x = 5

x = –10, x = –5, or x = 5

If a polynomial function f(x) has roots and –6, what must be a factor of f(x)?

(x + ( )

(x – ())

(x + ())

(x – ())

Use synthetic division to solve . What is the quotient?

x squared + 4 x + 3

x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction

x cubed + 4 x squared + 3 x

x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?

110

130

180

If f(x) is an odd function, which statement about the graph of f(x) must be true?

It has rotational symmetry about the origin.

It has line symmetry about the line y = –x.

It has line symmetry about the y-axis.

It has line symmetry about the x-axis.

Which graph shows the solution to the system of inequalities below?

mc019-2.jpg

mc019-3.jpg

mc019-4.jpg

mc019-5.jpg

For which pair of functions is ?

f(a) = a2 – 4 and

and g(a) = 2a – 2

f(a) = 5 + a2 and

f(a) = 3 – 3a and g(a) = 4a – 5

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2. What is the approximate width of her backyard?A = lw

11.2 m

15.8 m

22.4 m

44.8 m

The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10?