Semester 1 Review

Ch1:Linear Equations

100

Solve for x:

3x = -9

x = -3

200

Solve for g:

13 - g = -27

g = 40

300

Solve for y:

4y - 8 = 2y +2

y = 5

400

Solve for w:

|2w + 3| = 1

w = 1 or -2

500

Rewrite the formula for h:

V = (1/3)Lwh

h = 3V / Lw

Ch2:Linear Inequalities

100

Graph the inequality:

7 > c

<<======(7)---------->

200

Solve and graph the inequality:

45 < -9d

d < -5

<<=====(-5)---------->

300

Solve and graph the inequlaity:

5x - 6 ≥ 3x + 2

x ≥ 4

<------------((4))======>

400

Solve and graph the inequality:

-1 ≤ -2d + 7 ≤ 9

-1 ≤ d ≤ 4

<------((-1))======((4))------>

500

Solve and graph the absolute value inequality:

|2f + 11| + 3 > 8

x < -8 or x > -3

<<====(-8)--------(-3)====>>

Ch3:Graph Functions

100

How do you determine if a graph is a function?

(What "test" do you give it, and how do you know if it "passes"?)

Vertical line test - if the vertical line will only ever cross the graph at one point at a time

200

Is the following a function?

X: 2,   5,   7,    9,   14

Y: 5,  11,  19,  12,   3

If yes, is it linear?

Yes. (Each input is matched to exactly one output.)

No. (The points do not form a straight line.)

300

Evaluate the function for f(-3), f(0), and f(5).

f(x) = x + 8

f(-3) = 5

f(0) = 8

f(5) =  13

400

Find the interceptS (x AND y) of the equation:

2x - 3y = 6

x-intercept = -2

y-intercept = 3

500

Describe how to plot a graph given the slope -1/2 and the point (8, -4).

Also, where would the y-intercept be?

Start at the point (8, -4) and move either:

-Up 1 left 2,   or  Down 1 right 2

y-intercept = (0, 0)

Ch4:Write Functions

100

Write the equation of the line that will pass through the points (1, -7) and (4, 2) in slope-intercept form.

y = 3x - 10

200

Write the linear equation in point-slope form.

Slope = 3          Point: (-1, -8)

y + 8 = 3(x+1)

300

Write an equation of a line that would be parallel and a line that would be perpendicular to:

y = 2x - 1

//   y = 2x + #

X    y = -1/2x + #

400

Does the following reflect correlation and/or causation? If correlation, what type (+, -)?

The amount of time calling on a cell phone and the remaining bettery life

Negative correlation but not causation

(Other activities could cause the bettery to drain.)

500

Write a simplified rule for the following arithmetic sequence:

6, 5.25, 4.5, 3.75, ...

a_n = -0.75n + 6.75

Ch5: Systems of Equations

100

Where on a graph is the solution to a system of equations?

Where the lines intersect.

200

Solve the system using substitution. SHOW YOUR WORK!

y = 2x - 8

7x + y = 10

7x + (2x - 8) = 10           9x = 18           x = 2

7(2) + y = 10             14 + y = 10         y = -4

300

Solve the system using elimination. SHOW YOUR WORK!

4x + 6y = -8

x - 2y = -2

4x + 6y = -8              4x + 6y = -8

3x - 6y = -6            - (4x - 8y = -8)

7x       =  -14                   14y = 0

x = -2                                y = 0

(Plug in whichever oneyou did to get the other.)

400

How many solutions will the following system have?

3x - 6y = -9

-5x + 10y = 10

No solution

500

Solve the linear inequality system. Give 3 points that would be solutions. (Limit values to {-6, 6}.)

y ≥ 2x - 4

y < x -2

(1, -2)   (0, -3)   (0, -4)   (-1, -4)

(-1, -5)   (-1, -6)   (-2, -5)   (-2, -6)

(There are others if you used rational numbers - Teacher: see textbook pg 284 to check more answers)