2019 Algebra College Prep Midterm Review

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Slope is 9/5

( 1 , 2 ) and ( 6 , 11) are two points on a line. What is the slope of the line? Hint: point 1 (x,y) point 2 (x,y)

Slope is 3/4

( 3 , 2 ) and ( 7 , 5 ) are two points on a line. What is the slope of the line? Hint: point 1 (x,y) point 2 (x,y)

Solve the system using elimination: -6x + 5y = 1 6x + 4y = -10

(-1, -1)

Solve the system using elimination: -4x - 2y = 14 -10x + 7y = -25

(-1, -5)

Solve the system using elimination: 8x + y = -16 -3x + y =-5

(-1, -8)

Solve the system using elimination: 3 = -2x + y -3 = 10x + 7y

(-1, 1)

Solve the system using elimination: -2x - 9y = -25 -4x - 9y = -23

(-1, 3)

-84a⁸

(-12a³)(7a⁵)

Solve the system using elimination: 3x - 2y = 2 5x - 5y = 10

(-2, -4)

(-3)²×(-3)⁸

(-3)¹⁰

24x⁸

(-3x⁵)(4x²)(-2x)

Solve the system using elimination: -3x + 7y = -16 -9x + 5y = 16

(-4, -4)

-60x⁹

(-5x²)(-3x⁴)(-4x³)

Solve the system using elimination: 5x + 4y = -30 3x - 9y = -18

(-6, 0)

Solve the system using elimination: 5x + 4y = -14 3x + 6y = 6

(-6, 4)

36x⁹

(-6x⁷)(-6x²)

-56x⁶

(-7x⁴)(8x²)

Solve the system using elimination: 16x - 10y = 10 -8x - 6y = 6

(0, -1)

Solve the system using elimination: -x - 7y =14 -4x - 14y =28

(0, -2)

y

(0, -3) what kind of intercept?

Solve the system using elimination: -7x - 8y = 9 -4x + 9y = -22

(1, -2)

Identify the inverse: (3, 1) (2, 1) (4, 2) (5, 6)

(1, 3) (1, 2) (2, 4) (6, 5)

Solve the system using elimination: 5x + y = 9 10x - 7y = -18

(1, 4)

Solve the system using elimination: 2x + y = 9 -2x + y = 5

(1, 7)

Solve the system using elimination: x - y = 11 2x + y =19

(10, -1)

60a⁷

(10a³)(6a⁴)

Solve the system using elimination: 2x + 5y = -1 x + 2y = 0

(2, -1)

Solve the system using elimination: -7x + y = -19 -2x + 3y = -19

(2, -5)

Solve the system using elimination: -14 = -20y - 7x 4 = -10y + 2x

(2, 0)

30x⁷

(2x⁴)(5x)(3x²)

Identify the inverse: (1, 3) (1, 2) (2, 4) (6, 5)

(3, 1) (2, 1) (4, 2) (5, 6)

12x⁶

(3x³)(4x³)

Solve the system using elimination: 8x + 14y = 4 -6x - 7y = -10

(4, -2)

Solve the system using elimination: 3x + y = 20 x + y = 12

(4, 8)

x

(4,0) what kind of intercept?

32a⁹

(4a⁵)(8a⁴)

Solve the system using elimination: -6x + 6y = 6 -6x + 3y = -12

(5, 6)

45x⁴

(5x³)(9x)

Solve the system using elimination: -4x - 2y = -12 4x + 8y = -24

(6, -6)

Solve the system using elimination: 7x + 2y = 24 8x + 2y = 30

(6, -9)

-36x⁴

(6x³)(-6x)

Solve the system using elimination: 4x + 8y = 20 -4x + 2y = -30

(7, -1)

Solve the system using elimination: -4x - 15y = -17 -x + 5y = -13

(8, -1)

Solve the system using elimination: -4x + 9y = 9 x - 3y = -6

(9, 5)

-81a⁹

(9a⁶)(-9a³)

a⁵b⁷

(ab⁵)(a⁴b²)

a⁴b⁷c⁶

(a³b²c⁴)(ab⁵c²)

a⁷b⁴c⁶

(a³b³)(a⁴bc⁶)

a⁸b⁴

(a³b³)(a⁵b)

a⁹bc⁸

(a⁴bc³)(a⁵c⁵)

x³y²

(xy)(x²y)

x²y³

(xy²)(xy)

x⁶y³z⁷

(xy²z³)(x⁵yz⁴)

x⁴y⁶

(x³y²)(xy⁴)

x-8y=4

-1/2x+4y=-2

(2x²y³)(-5x⁴y²)

-10x⁶y⁵

2x+3y=5

-14x-21y=-35

Find the next three terms of the sequence: 305, 225, 145, 65,

-15, -95, -175

(6x³)(-6x)

-36x⁴

3x-4y=-24

-3x+4y=24

2x+3y=-5

-3y-2x=5

x+8y=4

-4+8y=-x

(6,1)

-4x + 4y = -20 y = -3x + 19

(-1,2)

-4x +5y = 14 y = 3x + 5

(-7x⁴)(8x²)

-56x⁶

(-5x²)(-3x⁴)(-4x³)

-60x⁹

3a² × (-2a²)

-6a⁴

(-2,4)

-6x + 2y = 20 y = 6x + 16

5x-6y=4

-6y+5x=4

Find the next three terms of the sequence: -39, -31, -23, -15,

-7, 1, 9

(1, -2)

-7x - 2y = -3 y = 4x - 6

(9a⁶)(-9a³)

-81a⁹

(-12a³)(7a⁵)

-84a⁸

(2xy²)(-4x³y³z)

-8x⁴y⁵z

x⁰

1

5x+6y=-4

10x+12y=-8

22% decrease

117 to 91

92% increase

12 to 23

(3x³)(4x³)

12x⁶

(2x²)(2xy)(2xy)(2xy)

16x⁵y³

(4xy)(4xy)(x⁴)(y)

16x⁶y³

78% decrease

188 to 42

2x² (3y³)(3y³) (x²y)

18x⁴y⁷

2(3x)⁰

2

267% increase

2150 to 7895

(6x³y²)(6x³y²)(6x³y²)

216x⁹y⁶

7x²y⁵×3y

21x²y⁶

10% decrease

246 to 221

(-3x⁵)(4x²)(-2x)

24x⁸

6% increase

259 to 274

27% decrease

284 to 206

(3, 5)

2x - 3y = -9 3x - y = 4

6y²/3y

2y

2⁴/2²

2⁵×2³

2⁸

3x⁰

3

x = 3/4 or 0.75

3 − |8x − 6| = 3

3% decrease

309 to 299

(2x⁴)(5x)(3x²)

30x⁷

26% decrease

326 to 241

2% increase

328 to 333

(4a⁵)(8a⁴)

32a⁹

150% increase

36 to 90

57% decrease

362 to 156

(-6x⁷)(-6x²)

36x⁹

2x-3y=-4

3y=2x+4

x = 3

4 − 2|2x − 6| = 4

86% increase

4048 to 7548

23% increase

4359 to 5377

104% increase

45 to 92

(5x³)(9x)

45x⁴

2x+3y=4

4x+6y=8

16% increase

5876 to 6820

(-3,6)

5x + 5y = 15 y = -4x - 6

(10a³)(6a⁴)

60a⁷

2x+3y=6

6=3y+2x

(6x²y³)(xyz)

6x³y⁴z

6x² (xy³)(xy³)

6x⁴y⁶

15% increase

74 to 85

8% decrease

83 to 76

(8,7)

8x - 7y = 15 y = 2x - 9

64% decrease

94 to 34

Systems of linear equations

A collection of two or more linear equations involving the same set of variables.

Standard form of a linear equation

A linear equation in the form ax + by = c

Solution set

A linear system may behave in any one of three possible ways: 1. The system has infinitely many solutions. 2. The system has a single unique solution. 3. The system has no solution.

Consistent independent system

A linear system that has exactly one solution

Consistent dependent system

A linear system that has infinitely many solutions

Inconsistent system

A linear system with no solutions

Solution of a linear system

An assignment of values to the variables such that all the equations are simultaneously satisfied

L = A/W

Area of a rectangle A = LW Solve for L

h = 2A/b

Area of a triangle. A= (1/2)bh Solve for h

Perpendicular

Determine if the line AC and line BD are parallel, perpendicular or neither. A(4,1), B(5,2) and C(4,2), D(5,1)

Neither

Determine if the line AC and line BD are parallel, perpendicular or neither. A(4,1), B(6,2) and C(4,3), D(5,1)

m = -7/6

Find the slope of a line that is perpendicular to the line that is created by the points (-2,1) and (5,7)

m = 1

Find the slope of line FG if F(1,1) and G(2,2)

m = 2/3

Find the slope of line FG if F(1,6) and G(-2,4)

1

Find the slope of line that goes through the points (1,1) and (2,2)

Undefined

Find the slope of the line passing through the two points: (-2,6) and (-2,-3)

2

Find the slope of the line passing through the two points: f(0) = 2 and f(2) = 4

-2

Find the slope of the line passing through the two points: f(0) = 7 and f(3) = 1

1/4

Find the slope of the line passing through the two points: f(4) = -3 and f(0) = -2

m = -1/5

Find the slope of the line that is perpendicular a line with the slope of 5

-1/5

Find the slope of the line that is perpendicular to a line with the slope of 5

The slope is -2.

Given the equation: y = 6 - 2x What is the slope?

Elimination method

In this method you either add or subtract the equations to get an equation in one variable.

Solve the system using elimination: 2x + 8y =6 -5x -20y = -15

Infinite Number of Solutions

r = I/(pt)

Interest formula I = prt solve for r

NO, The ratios are inconsistent.

Is this a direct variation? YES or NO

YES, the line goes through the origin

Is this a direct variation? YES or NO

y=-1/3x-1

Match to the correct linear equation.

y=-2/5x+2

Match to the correct linear equation.

y=-2x-3

Match to the correct linear equation.

y=-3x-2

Match to the correct linear equation.

y=-¼x+1

Match to the correct linear equation.

y=-½x

Match to the correct linear equation.

y=-½x+2

Match to the correct linear equation.

y=1/3x-1

Match to the correct linear equation.

y=1/5x-5

Match to the correct linear equation.

y=3x+2

Match to the correct linear equation.

y=3x+5

Match to the correct linear equation.

y=3x-2

Match to the correct linear equation.

y=x+1

Match to the correct linear equation.

y=x+3

Match to the correct linear equation.

y=¼x-1

Match to the correct linear equation.

y=½x+2

Match to the correct linear equation.

y=½x-1

Match to the correct linear equation.

Is the inverse of the points below a function? (Hint: Find inverse first.) (3, 1) (2, 1) (4, 2) (5, 6)

No, because x=1 has two different outputs.

L= (P - 2W)/2

Perimeter of a rectangle. P= 2L + 2W Solve for L

S= P/4

Perimeter of a square. P=4S. Solve for S

b= √(c²-a²)

Pythagorean Theorem a² + b² = c² Solve for b

m= (y - b)/x

Slope Intercept Form y = mx + b Solve for m

b= -a/m

Slope of a line in standard form is: m= -a/b Solve for b

x= (C - By)/A

Standard Form Ax + By = C Solve for x

π = SA/(4r²)

Surface Area of a Sphere SA= 4πr² Solve for π

Run

The difference in the x-values of two points on a line

Rise

The difference in the y-values of two points on a line

Slope-Intercept Form

The formula y=mx+b is referred to as:

X-axis

The horizontal axis on a coordinate plane

Undefined slope

The slope of this line is: A. 0 B. undefined

Zero slope

The slope of this line is: A. 0 B. undefined

negative

The slope of this line is: A. positive B. negative

positive

The slope of this line is: A. positive B. negative

Y-axis

The vertical axis on a coordinate plane

X-intercept

The x-coordinate of the point where the graph of a line crosses the x-axis

Y-intercept

The y-coordinate of the point where the graph of a line crosses the y-axis

Graphing method

This method functions by graphing the equations. The solution to the system will then be in the point in which the two equations intersect.

Substitution method

This method functions by substituting the one y-value with the other.

Intersection

Two lines that cross at a point

h = (3v)/A

Volume of a cone V = (Ah)/3 Solve for h

-lines that never intersect -same slope -different y-intercepts

What are parallel lines?

lines whose slopes are opposite and flipped; lines that intersect to form a 90-degree angles

What are perpendicular lines?

k = 1.5

What is the constant of proportionality? (type k = ___)

The steepness of a line on a graph

What is the definition of slope?

y = 0.20x

What is the equation for this direct variation?

m = 0

What is the slope of a horizontal line?

-10

What is the slope of a line that is parallel to y = -10x + 3

-2/3

What is the slope of a line that is parallel to y = -2/3x + 12

-7/2

What is the slope of a line that is parallel to y = -7/2x + 6

1/3

What is the slope of a line that is parallel to y = 1/3x - 8

4

What is the slope of a line that is parallel to y = 4x + 1

undefined

What is the slope of a line that is parallel to x=3

-3

What is the slope of a line that is parallel to y = -3x

-2

What is the slope of a line that is perpendicular to 2x -4y = 9

4/3

What is the slope of a line that is perpendicular to 3x + 4y = 12

-1

What is the slope of a line that is perpendicular to y = x - 3

5/3

What is the slope of a line that is perpendicular to 3x + 5y = 7

3

What is the slope of a line that is perpendicular to y = -1/3x + 2

1/2

What is the slope of a line that is perpendicular to y = -2x + 7

undefined

What is the slope of a vertical line?

2

What is the slope of the equation: y =2x + 3

(6,-3)

What is the solution to this system of equations. Solve by using substitution. 2x - 3y = 21 y = 3 - x

(8,-2)

What is the solution to this system of equations. Solve by using substitution. x = -4y 3x + 2y = 20

(16,4)

What is the solution to this system of equations. Solve by using substitution. x = 4y 3x - 2y = 40

(-6,1)

What is the solution to this system of equations. Solve by using substitution. x = y - 7 x + 8y = 2

(-2,-4)

What is the solution to this system of equations. Solve by using substitution. y = 2x x + 3y = -14

(-1,5)

What is the solution to this system of equations. Solve by using substitution. y = 3x + 8 5x +2y = 5

(1,4)

What is the solution to this system of equations. Solve by using substitution. y = 4x x + y = 5

(-2, -9)

What is the solution to this system of equations. Solve by using substitution. y = 4x -1 y = 2x -5

(3,7)

What is the solution to this system of equations. Solve by using substitution. y = 5x - 8 4x + 3y = 33

(5,8)

What is the solution to this system of equations. Solve by using substitution. y = x + 3 2x + y = 18

(2,1)

What is the solution to this system of equations. Solve by using substitution. y = x -1 x + y = 3

-3

What is the x intercept from looking at the table?

(-11, 0)

What is the x intercept of -2x - 5y = 22?

(6, 0)

What is the x intercept of -3x + 9y = -18?

(5, 0)

What is the x intercept of 2x + y = 10?

(12, 0)

What is the x intercept of 2x - 8y = 24?

(3, 0)

What is the x intercept of 3x - 3y = 9

(1, 0)

What is the x intercept of 4x + y = 4?

(0,7)

What is the x intercept of 5x - y = 35?

(2/5, 0)

What is the x intercept of y = -5x + 2?

3

What is the y intercept from looking at the table?

(0, -22/5)

What is the y intercept of -2x - 5y = 22?

(0, -2)

What is the y intercept of -3x + 9y = -18?

(0, 10)

What is the y intercept of 2x + y = 10?

(0, -3)

What is the y intercept of 2x - 8y = 24?

(0, -9)

What is the y intercept of 3x - y = 9

(0, 4)

What is the y intercept of 4x + y = 4?

(0, -35)

What is the y intercept of 5x - y = 35?

3

What is the y intercept of the equation: y =2x + 3

(0, 2)

What is the y intercept of y = -5x + 2?

b = 7

What is the y-intercept of the following line: y = 7 + 5/3x

Negative Slope

What type of slope does the graph's function represent?

Positive Slope

What type of slope does the graph's function represent?

Undefined Slope

What type of slope does the graph's function x=2 represent?

0

What type of slope does the graph's function y=-3 represent?

y axis

Which axis is the y intercept found on?

x = -3

Write an equation for the given line in slope-intercept form (solved for y).

y = -2/3x - 2

Write an equation for the given line in slope-intercept form (solved for y).

y = 1/3x

Write an equation for the given line in slope-intercept form (solved for y).

y = 2

Write an equation for the given line in slope-intercept form (solved for y).

y = x + 1

Write an equation for the given line in slope-intercept form (solved for y).

y = -2x + 7

Write an equation of the line passing through the two points (in slope intercept form): f(0) = 7 and f(3) = 1

y = 1/4 x - 2

Write an equation of the line passing through the two points (in slope intercept form): f(4) = -3 and f(0) = -2

y = 1/2x

Write an equation that goes through (2 , 1) and (4, 2)

y= -2/3x + 4

Write an equation that has a slope of -2/3 and passes through the point of (3,2)

y = 2x + 9

Write an equation with a slope of 2 and y-intercept at 9

y = 2/3x - 8

Write an equation with a slope of 2/3 and y-intercept at -8

Is the inverse of the points below a function? (Hint: Find inverse first.) (1, 3) (1, 2) (2, 4) (6, 5)

Yes, because each output has a unique input.

Find the explicit formula of the arithmetic sequence: 2/3, 1, 4/3, 5/3,...

a_n= 1/3 n + 1/3

Find the explicit formula of the arithmetic sequence: 1/3, 4/3, 7/3,...

a_n= n - 1/3

(a³b²c⁴)(ab⁵c²)

a⁴b⁷c⁶

(ab⁵)(a⁴b²)

a⁵b⁷

(a³b³)(a⁴bc⁶)

a⁷b⁴c⁶

(a³b³)(a⁵b)

a⁸b⁴

(a⁴bc³)(a⁵c⁵)

a⁹bc⁸

a⁻⁶/a²

a⁻⁸

d²÷d⁻⁵

d⁷

f⁻¹(x)= -½(x)

f(x)= -2x

f⁻¹(x)= -4x

f(x)= -¼(x)

f⁻¹(x)= ½(x)

f(x)= 2x

f⁻¹(x)= ½(x) - 2

f(x)= 2x + 4

f⁻¹(x)= x-25

f(x)= x+25

f⁻¹(x)= x-35

f(x)= x+35

f⁻¹(x)= x+14

f(x)= x-14

f⁻¹(x)= x+25

f(x)= x-25

f⁻¹(x)= x+6

f(x)= x-6

f⁻¹(x)= 4x

f(x)= ¼(x)

f⁻¹(x)= 2x - 10

f(x)= ½(x) + 5

f⁻¹(x)= 2x + 10

f(x)= ½(x) - 5

f⁻¹(x)= ½(x) + 2

f(x)=2x-4

f(x)= -2x

f⁻¹(x)= -½(x)

f(x)= ½(x) + 5

f⁻¹(x)= 2x - 10

f(x)= ¼(x)

f⁻¹(x)= 4x

f(x)=2x-4

f⁻¹(x)= ½(x) + 2

f(x)=√(x+2) - 3

f⁻¹(x)=(x+3)²-2

f(x)=³√(x-3) + 5

f⁻¹(x)=(x-5)³+3

f(x)=x³-7

f⁻¹(x)=³√(x+7)

f(x)=(x-1)²+5

f⁻¹(x)=√(x-5)+1

a= g+b+c

g = a - c - b (solve for a)

m⁴n³ × mn²

m⁵n⁵

m³n/m⁻³n⁻¹

m⁶n²

n³(n⁵)÷n²

n⁶

m

represents the slope in an equation

b

represents the y intercept in an equation

y = mx + b

slope intercept form

a = (u + 1)/-4

u = -4a - 1 (Solve for a)

a = (u-1)/-4

u = -4a+1 (solve for a)

x = (u + 5k)/4w

u = -5k + 4xw (solve for x)

x = (u+5k)/4

u = 4x - 5k (solve for x)

x= (6k-5)/u

ux + 5 = 6k (solve for x)

x intercept

where the line crosses the x axis

y intercept

where the line crosses the y axis

(4, -2)

x + 2y = 0 3x + 4y = 4

(1, 2)

x + 3y = 7 2x - 4y = -6

(5, 3)

x - 2y = -1 3y = x + 4

(9, 4)

x - 3y = -3 2x + 5y = 38

(4, 2)

x = 2y y = x - 2

x⁻³×x⁵

(xy²)(xy)

x²y³

(xy)(x²y)

x³y²

x⁷/x⁻³

x¹⁰

x*x*x*x*y*y*y

x⁴y³ expanded

(x³y²)(xy⁴)

x⁴y⁶

(xy²z³)(x⁵yz⁴)

x⁶y³z⁷

x*x*x*x*x*x*x*x*x

x⁹ expanded

Find the point slope equation:

y + 1= 1/2(x-4)

Write the equation in point-slope form of m= -1/4 and (4, -3)

y + 3 = -1/4(x - 4)

Write the equation in point-slope form of m= 5 and (-2, -3)

y + 3 = 5(x + 2)

Write the equation in point-slope form of m= 2/5 and (-5, -6)

y + 6 = 2/5(x + 5)

Write the equation in point-slope form of m= 4 and (-1, -6)

y + 6 = 4 (x + 1)

Write the equation in point-slope form of m= 2 and (-1, 0)

y - 0 = 2(x + 1)

Find the point slope equation:

y - 1 = 2(x - 1)

Find the point slope equation:

y - 1 = 3/4(x + 2)

Find the point slope equation: (-9, 10) m = 6/7

y - 10 = 6/7(x + 9)

Find the point slope equation: (-4, 3) m = -2/3

y - 3 = -2/3(x + 4)

Find the point slope equation: (2, 3) m = 3/4

y - 3 = 3/4(x - 2)

If x = -18 when y = 6, write the direct variation equation and find y when x = 6.

y = -1/3x; y = -2

If x = -16 when y = 4, write the direct variation equation and find x when y = 20.

y = -1/4x; x = -80

Write the equation in slope-intercept form of m= -2 and (5, 3)

y = -2x + 13

Write the equation in slope-intercept form of the line passing through the points (1, 6) and (2, 3)

y = -3x - 9

If y = -18 when x = 6, write the direct variation equation and find y when x = 6.

y = -3x; y = -18

No solution, lines are parallel

y = -4x +7 8x +2y = -4

Write the equation in slope-intercept form of the line passing through the points (-6, 10) and (-3, -2)

y = -4x -14

If y = -16 when x = 4, write the direct variation equation and find x when y = 20.

y = -4x; x = -5

Write the equation in slope-intercept form of the line passing through the points (-1, 1) and (1, -1)

y = -x

If y = -7 when x = -14, write the direct variation equation and find y when x = 20.

y = 0.5x; y = 10

If x = 8 when y = 4, write the direct variation equation and find y when x = 5.

y = 0.5x; y = 2.5

Write the equation in slope-intercept form of m= 1/2 and (2, 6)

y = 1/2x + 5

Write the equation in slope-intercept form of m= 1/2 and (2, -3)

y = 1/2x - 4

If y = 4 when x = 12, write the direct variation equation and find y when x = -24.

y = 1/3x; y = -8

If x = 2.5 when y = 0.5, write the direct variation equation and find y when x = 20.

y = 1/5x; y = 4

If x = 36 when y = 6, write the direct variation equation and find x when y = 42.

y = 1/6x; x = 252

Write the equation in slope-intercept form of the line passing through the points (7, 7) and (-3, 7)

y = 10

(-2, -4)

y = 2x 4x - y = -4

(5,7)

y = 2x - 3 -2x + 4y = 18

If y = 8 when x = 4, write the direct variation equation and find y when x = 5.

y = 2x; y = 10

If x = -7 when y = -14, write the direct variation equation and find y when x = 20.

y = 2x; y = 40

Write the equation in slope-intercept form of m= 3 and (1, 6)

y = 3x + 3

Write the equation in slope-intercept form of the line passing through the points (5, 7) and (3, 1)

y = 3x - 8

Infinite number of solutions

y = 3x -11 3x - y = 11

If x = 4 when y = 12, write the direct variation equation and find y when x = -24.

y = 3x; y = -72

If y = 27 when x = 6, write the direct variation equation and find x when y = 45.

y = 4.5x; x = 10

(-1, -4)

y = 4x 3x - y = 1

Write the equation in slope-intercept form of m= 4 and (2, -3)

y = 4x - 11

(7,8)

y = 4x - 20 4x - 2y = 12

(-1,-8)

y = 4x - 4 3x + 2y = -19

Write the equation in slope-intercept form of m= 5 and (-1, 2)

y = 5x + 7

If y = 2.5 when x = 0.5, write the direct variation equation and find y when x = 20.

y = 5x; y = 100

(-3,-3)

y = 6x + 15 -x - y = 6

If y = 36 when x = 6, write the direct variation equation and find x when y = 42.

y = 6x; x = 7

Write the equation in slope-intercept form of the line passing through the points (1, 4) and (3, 18)

y = 7x - 3

Write the equation in slope-intercept form of the line passing through the points (0, 3) and (2, 4)

y = ½x + 3

Write the equation in slope-intercept form of the line passing through the points (6, 6) and (-2, 2)

y = ½x + 3

Write the equation in point-slope form of m = -1 and (3, 5)

y-5 = -(x-3)

(y⁸)(x)(x)(y)

y⁹x²

x = (m-z)/3

z + 3x = m (solve for x)

a =b-z

z + a = b (solve for a)

x = (y-z)/m

z + mx = y (solve for x)

a = z - m + b

z = m + a - b (solve for a)

a = (z+b)/m

z = ma - b (solve for a)

x= zm - y

zm = x + y (solve for x)

no solution

−5 |3 + 4k| = 115


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