Test Review - Linear Equations

Solving Equations

100

Solve. 

3x+5 = 20

x = 5

200

Solve.

4(2y−1)=24

y = 3.5

300

Solve

5z−3=2z+9

z = 4

400

Sovle

2(3a+4)=26−a

a = 18/7

500

Solve 

7b+2(4−b)=3b+10

b = 1

Graphing Linear Equations

100

What form do we use to graph a linear equation?

the slope-intercept form y = mx + b

200

When graphing linear equations, where do we begin?

We begin at the y-intercept.

300

Graph the following equation. Include at least 3 points. y = 1/3x + 4

Graph should start with the point at (0, 4) Movement should be 1 up and 3 to the right continuing to another point. Movement could also be 1 down and 3 to the left.

400

Graph the following equation. Include at least three points. y = -2

Graph should begin with a point on the y-axis at -2. A horizontal line should be drawn through -2 extending on both sides of the y-axis.

500

Graph 6x + 2y = 24

Mrs. Myers will check

Slope-Intercept Form

100

What is slope intercept form?

y = mx + b

200

In the following linear equation, what is the y-intercept? y = -3/4x

0

300

Rewrite this equation in slope-intercept form. x + y = -12

y = -x - 12

400

Rewrite the following equation in slope-intercept form. 3x + 6y = -18

y = -1/2x - 3

500

Rewrite the following equation in slope-intercept form. 3.5x - 7y = -21

 y = 1/2x + 3

RANDOM ?'s

100

Is x = 2 a solution to the equation 2(x - 5) + 3 = 13  ?

No

200

If 4x−7=2x+9, what is the value of x?

x = 8

300

A line crosses the y-axis at (0, -4) and has a slope of -2. Write the equation of this line in slope-intercept form.

y = -2x -4

400

What are the x-intercept and y-intercept of the equation 2x+3y=12

x-intercept (6, 0)

y-intercept: (0, 4)

500

Is (-1, 4) a solution to the equation 5x+8y=16

No

Writing Equations

100

A car rental company charges a flat fee of $30 plus $0.25 per mile driven. A customer spends $55.  Write an equation to represent the situation. 

30+0.25m=55

200

Write an equation for a vertical line through the point (-3, 3)

x = -3

300

Write an equation for a line with the following slope and points.

 m = 2/3   and (0, -2),  (3, 0)

y = 2/3x - 2

400

The amount y(in dollars) of money you have left after playing x games at a carnival is y = -0.75x + 10. How much money do you have after playing eight games? Graph the equation and show your explanation.

y = -0.75(8) + 10 y = -6 + 10 y = 4 $4 dollars left after playing 8 games. Graph should begin at (0, 10) on the y-axis and move down three and four to the right.

500

If a car's value decreases by $1,500 each year and its current value is $20,000, write an equation to represent its value V after t years and find the value after 5 years.

V=20000−1500t.

$12500