Messmer High School                               Name_________________________

 Algebra, Chapter 9 Quiz, week 2, V2      Hour_________

Vocabulary matching, 1 point each. All other problems, 2 points each      

 

Slope-intercept equation

1

The first number in an ordered pair

 

x-coordinate

2

Value or values for a variable or variables that makes an equation, or a system of equations, true

 

Solution

3

Equation in the form y = mx + b

 

Graph

4

One-fourth of the coordinate plane

 

Slope

5

A point drawn on a number line or coordinate plane representing a number of ordered pair

 

Origin

6

The second number in an ordered pair

 

y-coordinate

7

The intersection where the x-axis crosses the y-axes

 

Linear equation

8

A set of equations for which a common solution is sought

 

Quadrant

9

Rise divided by run

 

System of equations

10

Variables are only raised to the first power.

 

Union

11

Set of members belonging to either set

 

Intersection

12

Set of all members common to both sets 

 

Roster

13

Listing the members of the set

 

Half-plane

14

Region above or below a boundary line

 

Boundary line

15

A line dividing the plane into two half-planes

 

System of inequalities

16

A set of inequalities for which a common set of solutions is sought.

Simplify                                                                                   Write using standard notation:

40 + 15x - 13x2+ 25x + 25x2 - 45x - 63                                              3.18 x 106

 

 

 

 

Write using scientific notation                                               Multiply

            2,600,000                                                                    (4A - 7)(3A + 11)

 

 

 

 

Factor completely                                                                  Solve for the given variable

24x3  -  8x2 -  40x                                                                    7x2  -  8x   + 1 =  0

 

 

 

Find the slope of the line connecting each of the following sets of two points:

(-2,-2) and (3,7)

 

 

 

 

 

(-4,3) and (2,-5)

 

 

 

 

Write a T-chart below and find three solutions to 

y = 2x - 5 for the values x = -2, 0, and 2.

                                                                  

Change to slope-intercept form

2y - 5x = 18

 

 

 

 

 

 

 

Determine whether the given ordered pair is a solution to both equations. Show your work

(4,5) in 4x - 3y = -1

    and   y = 2x - 3

 

 

 

 

 

 

 

 

 

 

 

Solve by substitution: 

 y = 2x + 1

 2x + y = 9

 

 

Solve by elimination:

4x + 3y = 23

3x - 2y = -4

 

 

 

 

 

 

 

 

 

 

 

 

The sum of two numbers is one hundred fifty. The difference between them is seventy. What are the numbers?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A very large jar of nickles and dimes contains  $95.00. There are 1,350 coins in all. How many of each are there?

 

Let A = { 1, 2, 3, 4, 5 } , B = {-5, -3, -1, 1, 3 } and C = { -2, -1, 0, 1, 2, 3, 4 }

Use roster notation for

      A Union C                                                      B Intersect A

 

 

 

 

 

 

 

 

Graph this conjunction:          -3 < x and x < 5

 

 

____|____|____|____|____|____|____|____|____|____|____|____|____|____|

 

 

Graph this conjunction           -4  is less then or equal to  x-3  is less than 1     

 

                                               

____|____|____|____|____|____|____|____|____|____|____|____|____|____|

 

 

 

Graph this disjunction            x < -2 or x > 0

 

 

____|____|____|____|____|____|____|____|____|____|____|____|____|____|

 

 

Graph this disjunction            -2x > -14 or 3x > 21

 

 

____|____|____|____|____|____|____|____|____|____|____|____|____|____|

 

 

 

 

Solve:     | x + 9 | = 12                                           | 3x – 5 | = 20

 

 

 

 

Solve and graph: | x + 1 | > 3

 

 

 

____|____|____|____|____|____|____|____|____|____|____|____|____|____|

 

                             | 5x | <= 20

 

 

 

____|____|____|____|____|____|____|____|____|____|____|____|____|____|

 

 

Graph on the coordinate plane:   x > 3y.   Show a t-chart with at least three pairs of values and draw the graph on graph paper.

 

 

Solve the system by graphing. Y > 4x – 1 and Y <= -2x + 3. Use a separate sheet of graph paper.   Show a t-chart for each inequality with at least three entries.