Algebra 9 - Q1

Simplify: 5x(2x + 4) - 2(4x - 9)

10x^(2) + 12x + 18

Each row of a coefficient matrix represents the coefficients of __________.

an equation

Solve |-3x + 7| > 8

x < -1/3 or x > 5

State the domain of the relation {(0, -2), (1, 4), (3, 5), (0, -4)}

{0, 1, 3}

For which quadrant are the abscissas negative and the ordinates positive?

Quadrant II

The solution set of which compound inequality is graphed below?

x < -4 or x ≥ 3

Which of the following are solutions to |-4x + 2| - |-11| = - 5?

x = -1, 2

Solve |2x + 5| + 4x = 3

x = -1/3 , 4

Solve: 5x - 8 - 3(x + 4) = -36

x = -8

Choose the equation of the line passing through (3, 7) with a slope of -2

y = -2x + 13

Solve the system. 3x - y = -2 3x + y = 2

(0, 2)

What is the y-intercept of a line passing through (-4, 2) and parallel to 5x - y = 15?

(0, 22)

Solve the system. x − y − z = −3 2x + y − 6z = 20 x − 2y + z = −13

(1, 6, −2)

Solve the following system of equations: 3x - 7y = 43 x + 2y = -3

(5,-4)

The y-terms in the following system can be eliminated by adding the results of multiplying the first equation by ___ and the second equation by ___. 5x + 8y = 4 -2x + 4y = 7

-1, 2

Solve -3 ≤ 4x + 9 ≤ 21 and graph the solution set.

-3 ≤ x ≤ 3

The x-terms in the following system can be eliminated by adding the results of multiplying the first equation by ___ and the second equation by ___. 3x+ 8y = 4 -2x + 3y = 7

2, 3

Solve the system. 2x + 3y = 5 3y = 5 - 2x

2x + 3y = 5

Determine the dimensions of the matrix product [ 1 ] [ 2 ] [ 3 4 ] [ 4 ]

3 x 2

Set up a chart as a system and solve. Two cars, 360 miles apart, start driving toward each other at the same time and pass in 3 hours. If the first car is traveling 4 mph faster than the other, how fast is each car traveling?

58 mph and 62 mph

The point (3, 5) lies on the line 5x - y = 15

False

Which property of equality is demonstrated by the following statement? If 3x - 7 / 4 = 2, then 3x - 7 = 8

Multiplication

Choose the best initial step in solving the following system by substitution. 2x + 4y = -12 6x + 2y = 9

Solve the first equation for x.

What is the additive inverse of [ 1 -3 ] [ 6 -5 ]

[ 1 3 ] [ -6 5 ]

What is the inverse of [ 3 5 ] [ 1 2 ]

[ 2 -5 ] [ -1 3 ]

Write the following system as a matrix equation. 3x + 2y = 7 2x - 4y = 10

[ 3 2 ] [ x ] = [ 7 ] [ 2 -4 ] [ y ] = [ 10 ]

Each column of a coefficient matrix represents the coefficients of __________.

a variable

Solve cx + d = ex + f for x.

f - d / c - e

Which of following could not be a function rule for f(x) if f(3) = 5?

f(x) = x^(2) + 2x - 7

Choose the equation of the line passing through (1, -5) and (3, 9).

none of the above

Solve: 4s + 5(s - 3) 3(s + 5) + 2(s - 1)

s ≤ 7

Set up a chart as a system of two equations and solve. Lew has $300,000 to invest. A municipal bond fund pays a 3.5% dividend, and CDs in the bank pay 2%. He feels he needs $7500 a year from his investment to supplement his social security check. How much should he put into each account?

$100,000 in the bond fund and $200,000 in CDs

Solve the system. 4a - 5b = 2 -2a + 3b = 3

(10.5, 8)

Which of the following is a solution to 3x - 2y + z = 12?

(2, -2, 2)

State the x- and y- intercepts for the graph of 4x - 2y = 8

(2, 0), (0, -4)

Which of the following are rational numbers? Select all that apply: -3.2 1.01001001... √4 3.02777... π

-3.2 √4 3.02777...

Simplify: 6 ÷ 2 · 3 - 6^(2) ÷ 2^(2) - 3^(2)

-9

State the dimensions of [ 1 2 4 ] A = [ 3 7 -1 ]

2 x 3

Make a chart and solve the following. How many pounds of peanuts costing $1.75/lb should be mixed with raisins costing $2.50/lb to make 3 lb of a mixture that costs $2.00/lb?

2.0 lb

How many terms does 3xy^(2) + 4x + 4y have?

3

Make a chart and solve the following. Two trains leave at the same time from stations that are 480 mi apart and travel toward each other on parallel tracks. If the eastbound train travels 10 mi/hr slower than the westbound train and they pass each other 6 hours later, how fast is the westbound train traveling?

45 mi/hr

Set up a chart as a system and solve. Brittany and Hanna can paddle 12 miles upstream in the same time it takes to paddle 28 miles downstream. Determine their paddling rate in still water if the stream flows at 2 mph.

5 mph

State the degree and classification of the following polynomial. 3xy^(3) + 9xy^(2)z^(2) + 3

5, trinomial

Name the property illustrated by the following equation. 3x + (2y + x) = 3x + (x + 2y)

Commutative Property of Addition

The solution to the following system is (3, 2). 10x - 7y = 152x + 7y = 21

False

Subtract [ 1 -1 ] _ [ -3 2 ] [ -4 2 ] [ -10 8 ]

[ 4 -3 ] [ 6 -6 ]

Multiply [ 1 2 1 ] [ 1 0 ] [ 3 0 2 ] [ 2 1 ] [ 1 1 0 ] [ 1 3 ]

[ 6 5 ] [ 5 6 ] [ 3 1 ]

If solving a system reduces it to the single equation 4 = 4, how many solutions does the system have?

an infinite number

If solving a system by elimination reduces it to the single equation 3 = 5, how should the system be classified?

inconsistent

Classify the following system. 3x + 2y = 7 3x - 4y = 9

independent consistent

Choose the operation under which the set of irrational numbers is closed.

none of the above

Sam's Hardware has an accumulated savings of $500,000. Sam needs to keep some cash on hand to pay daily bills. He can invest the rest in CDs at the bank, which pay 1.5% interest, or in a high dividend mutual fund that currently pays 3.25%. Sam would like to earn at least $20,000 in interest while keeping $50,000 as cash on hand. Which of the following systems of inequalities models his possible investments?

x ≥ 0; y ≥ 0; x + y ≤ 450,000; 0.015x + 0.0325y ≥ 20,000

Solve |3x + 87| ≤ -3

∅