Unit 1 Keys (computational, no graphing) Algebra 2

You send 15 digital images to a printing service that charges $0.80 per print in a larger format and $0.20 per print in a small format. Find the total cost if 5 of the 15 prints are in a large format.

$6

Use elimination to solve each system. 2p+5q=13 p-q=-4

(-1,3)

Use elimination to solve each system. 3a+2b=2 a+6b=18

(-3/2,13/14)

Use your calculator to graph each system to find the solution. Classify each system. -1/2x+y=4 x+2y=8

(0,4) consistent independent

Use elimination to solve each system. 3x+7y=10 5x=7-2y

(1,1)

Use elimination to solve each system. -3x+y=2 3x+4y=23

(1,5)

Use substitution to solve each system. 2x+y=-9 3x+y=11

(20,-49)

Use substitution to solve each system. 4x+2y=20 y=x-2

(4,2)

Use elimination to solve each system. 2x+y=8 x-y=10

(6,-4)

Use substitution to solve each system. y=2x-4 y=x+3

(7,10)

Use substitution to solve each system. y=x+3 y=2x-4

(7,10)

Insert parenthesis to make this a true statement: 8+5²-6÷3=9

(8+5²-6)÷3=9

Evaluate each function. g(x)=2x-1/3 g(-1) 2x-1/3 is a fraction

-1

Simplify: -3(10b+10)+5(b+2)

-25b-28

Simplify: (q-2)-2(q²+6q)

-2q²-6q-12

You send 15 digital images to a printing service that charges $0.80 per print in a larger format and $0.20 per print in a small format. Write and suimplify an expression that represents the total cost if n of the 15 prints are in a larger format.

.6n+3

Evaluate each function for the given value of x g(x)=x-4/5; x=9 x-4/5 is a fraction

1

Solve the linear equation. 5(2-x)=3-2x+-3x

10=10 all real numbers

Simplify: 16c-10d+3d-5c

11c-7d

Evaluate each function. h(n)=-2n³+4 h(-4)

132

Simplify: 10m²+3n-8+3m²3n+3

13m²-5

An airport parking lot charges a basic fee of $2 plus $1 per half hour parked. How many half-hours is 72 hours? What is the total charge for parking in the lot for 72 hours?

144, $146

Solve the inequality: -1<-3y-1/4<1

1>y>-5/3

Evaluate the expression. y-z+xz÷6, x=3, y=4, z=4

2

Evaluate the expression. 30-3×2-6+3

21

Evaluate each function for the given value of x f(x)-2x²-3x; x=-3

27

An airport parking lot charges a basic fee of $2 plus $1 per half hour parked. Complete the table. 0: 2+(1)(0)=2 1: 2: 3: 4:

3,4,5,6

Evaluate each function. f(x)=1/3x² f(3/4) 1/3 and 3/4 are fractions

3/1b (fraction)

Evaluate the expression. 6÷6+z+x-y, x=2, 7=5, z=6

4

Evaluate the expression. 16÷2×6-1

47

Evaluate the expression. c×(bc/4)-(7-a) a=4, b=8, c=5 bc/4 is a fraction

47

Evaluate each function. p(t)=4t²-2 p(t+2)

4t²+16t-2

Evaluate the expression. (2²+1)+4÷2

7

Evaluate the expression. 8m+(2m-9)³ m=6

75

Use substitution to solve each system. x+5y=2 x-1=2y

9/7,1/7)

State the property that is illustrated in each statement: 0=2x+(-2x)

Additive inverse

Use your calculator to graph each system to find the solution. Classify each system. 2x+3y=1 -3x+4y=-10

Consistent independent (2,-1)

Write an equation in slope-intercept form for the line that has the indicated slope and contains the given point. m=0, (-7,8)

Horizontal line y=8

Find the slope of the line: x=-2

No slope

Identify the terms, variables, coefficients, and constant in the following algebraic expression: 4x³+5x-6-2y

Terms: 4x³,5x,-6,-2y Variables: x,y Coefficients: 2,5,-2 Constant: -6

Write an equation in slope-intercept form for the line that has the indicated slope and contains the given point. no slope, (-4,5)

Vertical line x=-4

Determine whether each table represents a linear relationship between x and y. If the relationship is linear, write the next ordered pair that would appear in the table. x:0,1,2,3, y:10,22,34,46

X: 4 Y: 58

Determine whether the table represents a linear relationship between x and y. If the relationship is linear, write the next ordered pair that would appear in the table. X:0,3,6,9 Y:-5,-1,3,7

X:12 Y:11

State whether each relation represents a function. If it is, state the domain and range. {(4,1),(5,2),(6,3)}

Yes D: {4,5,6} R: {1,2,3}

State the property that is illustrated in each statement: x+y=0+x+y

additive identity

Use your calculator to graph each system to find the solution. Classify each system. 3x-6y=9 1/2x=y+3/2

all real numbers consistent dependent

Use your calculator to graph each system to find the solution. Classify each system. 6x+4y=12 2y=6-3x

all real numbers consistent dependent

State the property that is illustrated in each statement. (2+3)+5=2+(3+5)

associative property of addition

State the property that is illustrated in each statement: (25x)y=25(xy)

associative property of multiplication

State the property that is illustrated in each statement: x(7+y)=(7+y)x

commutative property of multiplication

Classify each number in as many ways as possible. -23

integer, rational, real

Classify each number in as many ways as possible. -5

integer, rational, real

Classify the number in as many ways as possible: -√64/2 (fraction)

integer, rational, real

State the property that is illustrated in each statement. 3x+(-3x)=0

inverse property of addition

Classify the number in as many ways as possible: √28

irrational, real

Find the slope of the line: y=2/3 (fraction)

m=0

Solve the linear equation. 5m-2=-m-2

m=0

Classify each number in as many ways as possible. √36/6

natural, whole, integer, rational, real

Classify the number in as many ways as possible: 1

natural, whole, integer, rational, real

State whether each equation is a linear equation. y=-x²-1

no

State whether each equation is a linear equation. y=1/x (fraction)

no

State whether each relation represents a function. If it is, state the domain and range. {(4,-2),(4,2),(6,3),(6,-3)}

no

State whether each relation represents a function. If so, state the domain and range. {(-1,8), (-1,7), (0,9)}

no

Use elimination to solve each system. 5x-8=3y 10x-6y-18

no solution

Use substitution to solve each system. x-y=3 2x-2y=2

no solution

Use your calculator to graph each system to find the solution. Classify each system. 3x-y=2 -3x+y=1

no solution inconsistent

Use your calculator to graph each system to find the solution. Classify each system. y=-2x-7 4x+2y=6

no solution inconsistent

Classify each number in as many ways as possible. 0.͞0͞8͞5͞

rational, real

Classify the number in as many ways as possible: -1.06͞3͞

rational, real

How do you know if a graphed line represents a function?

the vertical line test

Solve the inequality: x+5>2(x-3)+1

x<10

Solve the linear equation. 3(2x-5)-x=-7(x+3)

x=-1/2 (fraction)

Solve the linear equation. 1/2x+2=-2/3x+1/2 1/2 and -2/3 are fractions

x=-3

Solve the inequality: 1/2(x-5)<x-2

x>1

Write an equation in slope-intercept form for the line that has the indicated slope and contains the given point. m=-2/3 (fraction),(5,-4)

y=-2/3x-2/3 (2/3=fraction)

Write an equation in slope-intercept form for the line that contains the given point and is parallel to the given line. (-1,-3), 2x+5y=15

y=-2/5x-17/5

Write an equation in slope-intercept form for the line that contains the point (-2,5) and is perpendicular to the line y=-2x+4

y=1/2x+6 (1/2 is a fraction)

Write an equation in slope-intercept form for the line that contains the given point and is parallel to the given line. (3,0), -x+2y=17

y=1/2x-3/2 (1/2 and -3/2 are fractions)

Write an equation for the line containing the indicated points. (-1/2,7),(-4,1/2)

y=13/7x+111/14

Write an equation in slope-intercept form for the line that has the indicated slope and contains the given point. m=2, (9,-3)

y=4x-33

An airport parking lot charges a basic fee of $2 plus $1 per half hour parked. Write an equation for the total charge in terms of the number of half-hours parked.

y=x+2

Write an equation in slope-intercept form for the line containing the indicated points. (1/2,-3),(3,-1/2)

y=x-7/2

State whether each equation is a linear equation. y=12+2x

yes

State whether each equation is a linear equation. y=5-4x

yes

State whether each relation represents a function. If so, state the domain and range. x:-5,-3,-1,1 y:8,8,-2,-2

yes D: {-5,-3,-1,1} R: {-2,8}